w'fmd'i' · 2020. 4. 29. · úohd" ffcj úohd" jd c yd l,d hk úih odrd...

w'fmd'i'(W'fm<) úNd.h - 2016

we.hSï jdr®;dj

67 - ;dCIKfõoh i|yd úoHdj

CurriculumAssessment

&Evaluation

Teaching LearningN E T S

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- ii - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016

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we.hSï jdr®;dj - w'fmd'i' ^W'fm<& úNd.h - 2016

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- iii - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016

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- iv - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016

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- v - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016

we;=<; msgq msgqwxlh I fldgi

1.1 úIh idOkh ms<sn| f;dr;=re 1.1.1. úIhhi|ydfmkSisáwh≥ïlrejkaixLHdj 1 1.1.2. wh≥ïlrejkafY%a◊,ndf.kwe;swdldrh 1 1.1.3. m<uqjkj;djgfmkSisámdi,awh≥ïlrejkafY%a◊,ndf.kwe;s wdldrh-†ia;%slalwkqj 2 1.1.4. ,l=Kq,ndf.kwe;swdldrh-mka;sm%dka;rwkqj 3 1.2 úIh idOkh ms<sn| úYaf,aIKh 1.2.1. Im%Yakm;%hi|ydidOkh 4 1.2.2. IIm%YAkm;%fhysm%Yakf;dardf.kwe;swdldrh 5 1.2.3. IIm%Yakm;%fhysm%Yaki|yd,l=Kq,ndf.kwe;swdldrh 5 1.2.4. IIm%YAkm;%hi|ydidOkh 6 II fldgi 2. m%Yak yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.1 I m%Yak m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.1.1. I m%Yakm;%fhajHQyh 8 2.1.2. I m%Yakm;%h 9 2.1.3. Im%Yakm;%hi|ydwfmaÈs;ms<s;=reyd,l=Kq°fïmámdáh 15 2.1.4. Im%Yakm;%hgms<s;=reiemhSums<sn|ks¯ÈK 16 2.1.5. Im%Yakm;%fhatlatlam%YakfhysjrKf;dardwe;swdldrh- m%;sY;f,i 18 2.1.6. Im%Yakm;%hgms<s;=reiemhSums<sn|ks¯ÈK"ks.ukydfhdackd 19

2.2 II m%Yak m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re 2.2.1. II m%YAkm;%fhajHQyh 25 2.2.2. II m%Yakm;%hi|ydm%%Yakf;dardwe;swdldrhiym%%Yakj,myiq;dj 26 2.2.3. II m%Yakm;%hi|ydwfmaÈs;ms<s;=re",l=Kq°fïmámdáh" ms<s;=reiemhSums<sn|ks¯laIK"ks.ukydfhdackd 27 2.2.4. II m%Yakm;%hgms<s;=reiemhSums<sn|iuia;ks¯CIK" ks.ukydfhdackd 63 III fldgi

3. ms<s;=re iemhSfï° ie,ls,su;a úh hq;= lreKq yd fhdackd 3.1ms<s;=reiemhSfï°ie,ls,su;aúhhq;=lreKq 64 3.2 bf.kqïydb.ekaùïl%shdj,shms<sn|woyiaydfhdackd 66

- 1 - w'fmd'i'^W'fm<& ;dCIKfõoh i|yd úoHdj we.hSï jdr®;dj 2016

I fldgi

1.1. úIh idOkh ms<sn| f;dr;=re 1.1.1. úIhh i|yd fmkS isá wh≥ïlrejka ixLHdj

udOHh mdi,a fm!oa.,sl tl;=j

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fou< 4081 490 4571

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tl;=j 20091 1407 21498

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fY%a◊hmdi,a wh≥ïlrejka

fm!oa.,sl wh≥ïlrejka tl;=j m%;sY;h

ixLHdj m%;sY;h ixLHdj m%;sY;h

A 110 0.55 4 0.28 114 0.53

B 608 3.03 40 2.84 648 3.01

C 3177 15.81 273 19.40 3450 16.05

S 9931 49.43 622 44.21 10553 49.09

F 6265 31.18 468 33.26 6733 31.32

tl;=j 20091 100.00 1407 100.00 21498 100.00

j.=j 2


1.1.3. m<uqjk j;djg fmkS isá mdi,a wh≥ïlrejka fY%a◊ ,ndf.k we;s wdldrh - †ia;%slal wkqj

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ixLHdj

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ixL

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1'fld<U 1427 14 0.98 65 4.56 270 18.92 729 51.09 1078 75.54 349 24.46

2'.ïmy 1226 24 1.96 63 5.14 212 17.29 577 47.06 876 71.45 350 28.55

3'lΩ;r 592 2 0.34 21 3.55 117 19.76 294 49.66 434 73.31 158 26.69

4'uykqjr 1039 1 0.10 25 2.41 115 11.07 539 51.88 680 65.45 359 34.55

5'ud;f,a 458 4 0.87 13 2.84 94 20.52 250 54.59 361 78.82 97 21.18

6'kqjrt<sh 572 3 0.52 5 0.87 77 13.46 288 50.35 373 65.21 199 34.79

7'.d,a, 926 7 0.76 39 4.21 167 18.03 428 46.22 641 69.22 285 30.78

8'ud;r 844 5 0.59 50 5.92 182 21.56 392 46.45 629 74.53 215 25.47

9'yïnkaf;dg 549 4 0.73 24 4.37 88 16.03 290 52.82 406 73.95 143 26.05

10'hdmkh 868 10 1.15 54 6.22 185 21.31 408 47.00 657 75.69 211 24.31

11'ls,sfkdÉÑ 176 0 0.00 13 7.39 22 12.50 82 46.59 117 66.48 59 33.52

12'ukakdru 132 0 0.00 4 3.03 25 18.94 72 54.55 101 76.52 31 23.48

13'jõkshdj 219 1 0.46 3 1.37 25 11.42 114 52.05 143 65.30 76 34.70

14'uq,;sõ 118 0 0.00 3 2.54 13 11.02 43 36.44 59 50.00 59 50.00

15'uvl,mqj 464 4 0.86 23 4.96 105 22.63 228 49.14 360 77.59 104 22.41

16'wïmdr 472 0 0.00 16 3.39 83 17.58 264 55.93 363 76.91 109 23.09

17';%sl=Kdu,h 291 1 0.34 7 2.41 27 9.28 127 43.64 162 55.67 129 44.33

18'l=reKE., 1539 4 0.26 46 2.99 237 15.40 745 48.41 1032 67.06 507 32.94

19'mq;a;,u 444 3 0.68 15 3.38 54 12.16 209 47.07 281 63.29 163 36.71

20'wkqrdOmqrh 891 0 0.00 16 1.80 91 10.21 402 45.12 509 57.13 382 42.87

21'fmdf<dkakrej 453 3 0.66 12 2.65 54 11.92 183 40.40 252 55.63 201 44.37

22'n≥,a, 829 9 1.09 23 2.77 169 20.39 430 51.87 631 76.12 198 23.88

23'fudKrd., 366 1 0.27 13 3.55 82 22.40 190 51.91 286 78.14 80 21.86

24'r;akmqrh 708 4 0.56 21 2.97 165 23.31 346 48.87 536 75.71 172 24.29

25'lE.,a, 795 4 0.50 12 1.51 119 14.97 373 46.92 508 63.90 287 36.10

iuia; †jhsk 16398 108 0.66 586 3.57 2778 16.94 8003 48.80 11475 69.98 4923 30.02

j.=j 3


1'1'4' ,l=Kq ,ndf.k we;s wdldrh - mka;s m%dka;r wkqj

mka;s m%dka;rh ixLHd;hixLHd; m%;sY;h

iuqÉÑ; ixLHd;h

iuqÉÑ; ixLHd; m%;sY;h

91 - 100 0 0.00 21498 100.00

81 - 90 0 0.00 21498 100.00

71 - 80 21 0.10 21498 100.00

61 - 70 292 1.36 21477 99.90

51 - 60 1214 5.65 21185 98.54

41 - 50 3119 14.51 19971 92.90

31 - 40 6062 28.20 16852 78.39

21 - 30 7577 35.25 10790 50.19

11 - 20 3131 14.56 3213 14.95

01 - 10 82 0.38 82 0.38

00 - 00 0 0.00 0 0.00

j.=j 4

by;j.=jwkqjfuuúIhhi|yd31 - 40m%dka;rh;=<,l=Kq,nd.;awfmaCIlhskaixLHdj

6062 lajkw;r"thuqΩwfmaCIlhskaixLHdfjka28.20% ls',l=Kq40fydaBgwvqfjka,nd.;awfmaCIlhskaixLHdj16852ls'tuixLHdjuqΩwfmaCIlhskaf.ka78.39% lamuK

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1'2'2' II m%Yak m;%fhys m%Yak f;dardf.k we;s wdldrh

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A B C D

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Question Number

G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II

Selection of Questions

1 - 4 olajd m%Yak wksjdr®h jQj;a" iqΩ ms˙ila tu

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w'fmd'i' ^W'fm<& úNd.h - 2016 67 - ;dCIKfõoh i|yd úoHdj - II m;%h

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1'2'3' II m%Yak m;%fhys m%Yak i|yd ,l=Kq ,ndf.k we;s wdldrh

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A B C D

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Question Number

G.C.E. (A.L.) Examination - 2016 Science for Technology - Paper II Performance in each Ques5on

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43.7

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Question Number


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w'fmd'i' ^W'fm<& úNd.h - 2016 67 - ;dCIKfõoh i|yd úoHdj - II m;%h

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w;r/f|ñkab;dwvq,l=Kq,nd

we;snjfmkShhs'

m%ia;drh 3 (RD/16/02/AL fmdarufhka,nd.;af;dr;=reweiq˙kailialrk,°')

G.C.E. (A.L.) Examination - 2015

Science for Technology - Paper II

Performance in each Question

36

82

54

76

82

36

54

68

76

61

38

14

33

19

14

29

33

25

18

26

19

3

11

53

22

9

5 68

6

0 1 0 1

12

42 1

5

0

10

20

30

40

50

60

70

80

90

100

1 2 3 4 5 6 7 8 9 10

Question Number

Per

cen

tag

e

00-25%

26-50%

51-75%

76-100%

-19-

43.7

9

80.1

5

61.2

6

92.9

6

52.6

66.3

4

59.0

8

61.1

1

86.4

7 90.3

4

39.0

8

17.6

5

27.4

9

6.22

35.3

7

30.1

6 32.9

4

31.1

1

8.7 9.03

16.0

8

1.93

10.8

6

0.54

11.1

3

3.5

7.47

6.89

4.35

0.62

1.05

0.26

0.39

0.27

0.9

0 0.51

0.89

0.48

0 0

10

20

30

40

50

60

70

80

90

100

1 2 3 4 5 6 7 8 9 10

A B C D

Perc

enta

ge

Question Number


00-25%

26-50%

51-75%

76-100%

-19-

43.7

9

80.1

5

61.2

6

92.9

6

52.6

66.3

4

59.0

8

61.1

1

86.4

7 90.3

4

39.0

8

17.6

5

27.4

9

6.22

35.3

7

30.1

6 32.9

4

31.1

1

8.7 9.03

16.0

8

1.93

10.8

6

0.54

11.1

3

3.5

7.47

6.89

4.35

0.62

1.05

0.26

0.39

0.27

0.9

0 0.51

0.89

0.48

0

0

10

20

30

40

50

60

70

80

90

100

1 2 3 4 5 6 7 8 9 10

A B C D

Perc

enta

ge

Question Number


00-25%

26-50%

51-75%

76-100%


1'2'4' II m%Yak m;%h i|yd idOkh

m%ia;dr

h 4

.1

(RD

/16/

04/A

L fmdarufhka,nd.;af;dr;=reweiq˙kailial

rk,°'

)

myiq;d or®Ylhw

'fm

d'i

' ^W

'fm

<&

úN

d.h

- 2

016

67 -

;dC

IK

fõ

oh

i|

yd

úoHd

j -

II

m;

%hm

%Yak

j,

my

iq;

d or

®Yl

h

-26-

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

(1)

(2)

(3)

(1)

(2)

(1)

(2)

(i) (

ii) (i

ii) (i

v) (

i) (ii

) (ii

i) (i)

(ii)

(iii)

(iv)

(v)

(vi

) (i)

(ii)

(i)

(ii) (

iii) (

iv)

(v)

(vi)

(vii)

(i)

(ii) (

iii)

(iv)

(v)

(i) (

ii)

(iii)

(iv)

(i) (

ii) (i

ii)

(a)

(b)

(c)

(d)

(a)

(b)

(a)

(b)

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

1 2

3 4

Part

A

Facility Index

Part

s an

d Su

b Pa

rts

G.C

.E.(A

.L.)

Exa

min

atio

n - 2

016

Scie

nce

for

Tech

nolo

gy -

Pape

r II

Fa

cilit

y In

dice

s of

Par

ts a

nd S

ub P

arts

A f

ldg

i

m%Y

ak w

xlh

- f

ldg

ia y

d w

kqfl

dgi

a


m%ia;dr

h 4

.2

w'f

md'i

' ^W

'fm

<&

úN

d.h

- 2

016

67 -

;dC

IK

fõ

oh

i|

yd

úoHd

j -

II

m;

%hm

%Yak

j,

my

iq;

d or

®Yl

h

m%Y

ak w

xlh

- f

ldg

ia y

d w

kqfl

dgi

a

myiq;d or®Ylh

-26-

0.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

(i) (

ii) (i

ii) (i

v) (v

) (vi

) (i)

(ii)

(i)

(ii)

(i) (

ii) (i

ii) (i

v) (v

) (vi

) (i)

(ii)

(iii)

(iv)

(v)

(i) (

ii) (i

ii) (i

v) (v

) (i)

(ii)

(iii)

(i)

(ii)

(i) (

ii) (i

ii) (i

v) (v

) (vi

) (vii)

(i)

(ii)

(iii)

(iv)

(v) (

vi) (v

ii)

(a)

(b)

(a)

(b)

(c)

(d)

(e)

(a)

(b)

(a)

(b)

(c)

(a)

(b)

(a)

(b)

5 6

7 8

9 10

Part

B

Part

C

Part

D

Facility Index

Par

ts a

nd S

ub P

arts

G.C

.E.(A

.L.)

Exa

min

atio

n - 2

016

Scie

nce

for

Tech

nolo

gy -

Pap

er I

I Facility Indices of Parts and

Sub

Parts

B fl

dgi

C f

ldg

iD

fl

dgi


II fldgi

2. m%YAk yd ms<s;=re iemhSu ms<sn| f;dr;=re

2.1 I m%YAk m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re

2.1.1 I m%YAk m;%fha jHQyh

Úld,hmeh02ls'uqΩ,l=Kq100ls'

Ú jrK 5 lska hq;a nyqjrK m%Yak 50 lska iukaú; fõ' (1), (2), (3), (4) yd (5) jrKj,skaksjer†fydajvd;a.e<fmkfydajrKhf;a¯uwfmaCIdflfr®'

Ú m%Yakish,a,gums<s;=reiemhSuwfmaCIs;h'


2'1'2' I m%YAk m;%h


2.1.3. I m%Yak m;%h i|yd ms<s;=re yd ,l=Kq °fï mámdáh

m%Yak ms<s;=r m%Yak ms<s;=r wxlh wxlh

01. ....... 26. .......

02. ....... 27. .......

03. ....... 28. .......

04. ....... 29. .......

05. ....... 30. .......

06. ....... 31. .......

07. ....... 32. .......

08. ....... 33. .......

09. ....... 34. .......

10. ....... 35. .......

11. ....... 36. .......

12. ....... 37. .......

13. ....... 38. .......

14. ....... 39. .......

15. ....... 40. .......

16. ....... 41. .......

17. ....... 42. .......

18. ....... 43. .......

19. ....... 44. .......

20. ....... 45. .......

21. ....... 46. .......

22. ....... 47. .......

23. ....... 48. .......

24. ....... 49. .......

25. ....... 50. .......

2

4

4

5

2

4

2

5

3

4

5

1

3

5

2

2

2

3

3

4

1

3

2

3

1

2

2

3

1

4

5

3

4

4

3

4

5

4

4

4

2

5

2

3

4

5

3

4

3

2

ksjer† tla ms<s;=rlg ,l=Kq 02 ne.ska ,l=Kq 100 ls'


2.1.4. I m%Yak m;%hg ms<s;=re iemhSu ms<sn| ks¯ÈK

5

47%

61%

58%

25%

44%

36%

25%

30%

43%

91%

43%

37%

75%

72%

29%

40%

39%

84%

55%

59

% 78

%

51%

60%

55

% 25

%

24%

46%

73%

44%

82%

55%

64%

66%

28%

23%

62%

41%

17%

60%

15%

15%

22%

45%

26%

34%

5% 34

%

27%

36%

58%

0 10

20

30

40

50

60

70

80

90

100

1 2

3 4

5 6

7 8

9 10

11

12 1

3 14

15

16 1

7 18

19

20 2

1 22

23

24 2

5 26

27

28 2

9 30

31

32 3

3 34

35

36 3

7 38

39

40 4

1 42

43

44 4

5 46

47

48 4

9 50

1 2

3 4

5

Facility

Que

stio

n N

umbe

r

G.C

.E.(A

.L.)

Exa

min

atio

n - 2

016

Scie

nce

for T

echn

olog

y - P

aper

I Fa

cilit

y In

dice

s

myiq;dj

m%Y

ak w

xlh

„j

úoHd

j

ri

dhk

úoHd

j

.◊

;h

f;

dr;

=re

yd

ik

aksfõ

ok

;dC

IK

h

fN

!;sl

úoHd

j

w'f

md'i

' ^W

'fm

<&

úN

d.h

- 2

016

67 -

;dC

IK

fõ

oh

i|

yd

úoHd

j -

I m

;%h

úI

h f

CIa;

% wk

qj m

%Yak

i|

yd

my

iq;

dj


úIh fCIa;%hmyiq;dj jeäu myiq;dj wvqu

m%Yakh myiq;dj m%Yakh myiq;dj

1. „júoHdj 2 61% 4 25%

2. ridhkúoHdj 10 91% 7 25%

3. .◊;h 18 84% 26 24%

4. f;dr;=reydikaksfõok;dCIKh 30 82% 35 23%

5. fN!;slúoHdj 39 60% 46 5%

47.8% 46.5% 53.6% 53.9%

30.2%

0

10

20

30

40

50

60

70

80

90

100

1 2 3 4 5

1

Faci

lity

Inde

x

Question Number

G.C.E.(A.L.) Examination - 2016 Science for Technology - Paper I

Facility Indices

m%;

sY;

h

m%Yak iajNdjh

„júoHdj ridhk úoHdj

.◊;h f;dr;=reydikaksfõok;dCIKh

fN!;slúoHdj

w'fmd'i' ^W'fm<& úNd.h - 2016

67 - ;dCIKfõoh i|yd úoHdj - I m;%h

tla tla úIh fCIa;%fhys myiq;dj

I m%Yakm;%hieliSugfhd∞.;am%OdkúIhfCIa;%myw;˙kajeäumyiq;djlawe;af;af;dr;=reydikaksfõok;dCIKhyd.◊;húIhfCIa;%%hkafõ'tajdfhamyiq;dj54%ne.skafõ' I m%Yakm;%hgms<s;=reiemhSfï°wh≥ïlrejkagjvd;au ≥IalrúIhfCIa;%hùwe;af;afN!;slúoHdjhs'tysmyiq;dj30% ls'I m%Yakm;%fhaiuia;myiq;dj45.3%fõ'


2.1.5. ˚ m%Yak m;%fha tla tla m%Yakfhys jrK f;dard we;s wdldrh - m%;sY; f,i m%Yak wxlh

ksjer† jrKh

tla tla jrKh f;dard we;s YsIH m%;sY;h1 2 3 4 5 Missing

1 2 14% 47% 19% 13% 6% 1%

2 4 9% 19% 9% 61% 2% -3 4 16% 4% 3% 58% 19% -4 5 24% 4% 24% 21% 26% 1%

5 2 30% 44% 15% 3% 8% -6 4 8% 19% 30% 36% 7% -7 2 4% 25% 6% 49% 16% -8 5 13% 30% 10% 17% 30% -9 3 4% 8% 43% 18% 27% -10 4 2% 2% 3% 91% 2% -11 5 6% 6% 11% 33% 43% 1%

12 1 37% 19% 4% 2% 38% -13 3 3% 6% 75% 4% 12% -14 5 4% 5% 10% 9% 72% -15 2 2% 29% 18% 40% 11% -16 2 20% 40% 11% 11% 17% 1%

17 2 7% 39% 34% 3% 16% 1%

18 3 2% 4% 84% 9% 1% -19 3 17% 13% 55% 4% 10% 1%

20 4 3% 16% 12% 59% 10% -21 1 78% 10% 7% 3% 2% -22 3 7% 7% 51% 20% 15% -23 2 9% 60% 16% 8% 7% -24 3 17% 12% 55% 9% 6% 1%

25 1 25% 33% 11% 21% 10% -26 2 6% 24% 20% 11% 39% -27 2 23% 45% 13% 12% 6% 1%

28 3 5% 3% 73% 17% 2% -29 1 44% 12% 14% 16% 14% -30 4 6% 7% 2% 82% 3% -31 5 14% 3% 22% 6% 55% -32 3 24% 4% 64% 4% 4% -33 4 7% 9% 5% 66% 13% -34 4 9% 4% 4% 28% 54% 1%

35 3 6% 8% 23% 18% 45% -36 4 9% 9% 6% 62% 14% -37 5 7% 5% 10% 37% 41% -38 4 8% 12% 43% 17% 19% 1%

39 4 1% 27% 3% 59% 9% 1%

40 4 46% 6% 17% 15% 15% 1%

41 2 64% 15% 6% 12% 2% 1%

42 5 8% 32% 16% 22% 22% -43 2 7% 46% 7% 33% 7% -44 3 9% 43% 26% 11% 11% -45 4 15% 17% 27% 33% 7% 1%

46 5 45% 21% 23% 6% 5% -47 3 7% 15% 33% 39% 5% 1%

48 4 22% 17% 18% 27% 16% -49 3 38% 8% 36% 16% 2% -50 2 8% 57% 23% 3% 9% -

* tlatlam%Yakhhgf;aksjer†jrKhf;dardwe;sYsIHm%;sY;hw∫remiqìfuysolajdwe;'

* Missing hkqfjkaolajdwe;af;a"m%Yakhi|ydjrKf;dardke;sfydatlajrKhlgjvdjeäfhkajrKf;dardwe;sfydaYsIHm%;sY;hhs'


2.1.6 I m%Yak m;%hg ms<s;=re iemhSu ms<sn| ks¯ÈK" ks.uk yd fhdackd

nyqjrKm%Yak50lskaiukaú;˚m%Yakm;%fhysm%Yakiliaùwe;af;amy;jHQQyhwkqjh'

úIh fCIa;%h m%Yak wxlh m%Yak ixLHdj

„júoHdj 1 - 4 04

ridhkúoHdj 5 - 17 13

.◊;h 18 - 27 10

f;dr;=reydikaksfõok;dCIKh 28 - 37 10

fN!;slúoHdj 38 - 50 13

fuu nyqjrK m%Yak m;%fhys myiq;dj 60%g jvd jdr®;d l< m%Yak ixLHdj 11ls'wh≥ïlrejka40%fydaBgjvdwvqmyiq;djlafmkajQQm%YakixLHdj22ls'

ksjer†jms<s;=reiemhSu40%jvdwvquÜgulmej;sm%Yakwxlydtajdgw∞<úIh

fCIa;%my;±lafõ'

úIh fCIa;%h m%Yak wxlh m%Yak ixLHdj

„júoHdj 4 01

ridhkúoHdj 6, 7, 8, 12, 15, 17 06

.◊;h 25, 26 02

f;dr;=reydikaksfõok;dCIKh 34, 35 02

fN!;slúoHdj38, 40, 41, 42, 44, 45, 46, 47, 48, 49 10

÷„júoHdj

fuum%%Yakm;%%fham%%Yakwxl1 - 4 olajdieliSwe;af;a„júoHdjúIhfCIa;%%hmokïlrf.kh'„júoHdjweiq˙kawidwe;sm%%Yakw;=˙ka25% lwvqumyiq;djlaolajkafka4 jk

m%%Yakhhs'fuum%%Yakfhaksjer†ms<s;=rjk(5) jkjrKhf;dardwe;af;awfmaCIlhkaf.ka26%la

muKms˙ils'(A) j.ka;sfhawvx.=iajdh;a;hkjpkhms<sn|ksrjq,awjfndaOhlafkdue;sùu

ksjer†jrKhf;dard.ekSugwmyiqjlaùwe;'fuuj.ka;sj,°we;s;dCI◊lfh≥ïms<sn|j

fyd¢kawjOdkhfhduqls¯fukafun∫≥r®j,;du`.yrjd.ekSugfhdackdflfr®'

÷ridhkúoHdj

m%%Yakm;%%fham%%Yakwxl5 isg 17 olajdiliaùwe;af;aridhkúoHdjúIhfCIa;%%fhks'10

m%%YakhfmagkaÜn,m;%%hms<sn|júuidwe;'fuhuQQ,sl±kqum¯CIdlrkir,ldrKhlayd

fndfydafokdokakdfCIa;%%hlaksid91% lby<myiq;djlafmkakqïlrwe;'ridhkúoHdj

m%%Yak13 kam%%Yak6 lumyiq;dj40% gwvqùwe;'

6 jkm%%Yakhg36% lwfmaCIlhkams˙ilaksjer†ms<s;=rjk(4) jkjrKhf;dardwe;'fuum%%Yakhb†˙m;alrwe;af;alr®udka;ridhkúIhfCIa;%%hgwh;a;Ska;ksIamdokl%%shdj,shwdY%%fhks'úúOlr®udka;i|ydfhdod.kakdwuqøjHuekúkau;lfhar|jd.ekSuwfmaCIlhdgksjer†jrKhf;dard.ekSumyiqlrjhs'


7 jkm%%Yakhnyqwjhúlms<sn|uQQ,slisoaOdka;u;mokïùwe;'tum%%Yakhg25% lwfmaCIlhkams˙ilaksjer†ms<s;=rjk(2) jkjrKhf;dardf.kwe;'kuq;ajer†m%%;spdrw;=˙kajeäums˙ilatkï49% lamuK(4) jkjrKhf;dardwe;'ma,diaála;dmhyuqfõyeisfrkwdldrhwkqjm%%Odkfldgiafollgfnodolajhs'tajdkï;dmiqúldr®hhma,diaálayd;dmia:dmkma,diaála fõ';dmiqúldr®hhma,diaálaj,yriankaOkfkdue;s w;r;dmhyuqfõmyiqfjkauD≥;;a;ajhgm;ajkksidtajdfhayevhkej;kej;fjkial<yel'kuq;a;dmia:dmkma,diaálaj,yriankaOkmj;skksid;dmhyuqfõuD≥l<fkdyelsw;rtajdtlajrlamuKlahïyevhlgm;al<yel'isiqkanyqwjhúlms<sn|jiqúfYaISlreKqm%%.=Kls¯uu.skafuum%%Yakhgksjer†jms<s;=reiemhshyelsnjfhdackdflfr®'

8 jkm%%YakhieliS we;af;aiajNdúlm%%Njhlskaixfhda.hla fjkalr.ekSfïuQQ,slisoaOdka;mokïlrf.kh'fïi|ydksjer†ms<s;=rjk(5)jkjrKhf;dardwe;af;a30% lmuK wfmaCIlhka m%%;sY;hls' tfukau 30% m%%;sY;hla ksjer† ms<s;=r f,i (2) jrKh o f;dard we;' fuys° ksjer† ms<s;=r f;dard.;a m%%;sY;hg iudk m%%;sY;hla jer† ms<s;=rla of;dardf.kwe;'fïi|ydfya;=jz>kM,hZydzwuqM,hZhkjpkwfmaCIlhskaksjer†jNdú;fkdls¯uhs' ixfhda.hlaksiaidrKfha ° ,efnkwixY=oaO M,h" wuq M,h (raw product) f,i o ye¢kafjk nj wfmaCIlhkag wjOdrKh l< hq;=h' iajNdúl m%%Njhlska ixfhda.ksiaidrKhlr.ekSfïl%%uy∫kd.ekSums<sn|jm%%dfhda.slm¯CIKis≥ls¯fukam¯CIKfhauQQ,sl mshjrhka ms<sn| wjOdkhfhduqls¯uiy;dCI◊lfh≥ïNdú;ls¯uu.ska fujeksm%%Yakj,gidr®:ljms<s;=reiemhshyelsnjfhdackdflfr®'

12 jk m%%Yakh ieliS we;af;a khsg%%cka pl%%h weiq˙ks' 37%la ksjer† jrKh f;darkw;ru 38% jeks jeä m%%;sY;hla ksjer† jrKh f,i f;dardf.k we;af;a (5) jk jrKhhs'tkï jer† jrKhls' khsg%%cka pl%%h .ek ie,lSfï ° khsà%%yrKh u.ska khsg%%cka iE°uis≥fõ' jdhqf.da,fha we;s N

2 bj;aùu is≥jkafka khsà%%lrK l%%shdj,sfhks' wl=Kq .eiSfï

l%%shdj,shokhsà%%lrKl%%shdj,shls'tys°jdhqf.da,fhawe;sN2 "

N2(g) + O

2(g) 2NO(g) njgm;afõ'miqjtu 2NO(g) + O

2 (g) 2NO

2 (g)

njgowjidkfha°"2H2O(g) + 4NO

2 (g) + O

2 (g) 4HNO

3 (l) njgom;afõ'fuysksjer†

jrKhf;a¯ui|ydby;l%%shdj,shwOHhkhls¯ugfhdackdflfr®'

15 jk m%%Yakh ieliS we;af;a W;afm%%arl ms<sn| ±kqu mokï lrf.kh' fuu m%%Yakhi|yd 29% liqΩ ms˙ila ksjer† jrKh y∫kdf.k we;' kuq;a 40% jeks wfmaCIlhska jeäms˙ilajer†jrKhlajk(4) jkjrKhf;dardwe;'(A) j.ka;shms<s;=ri|ydf;a¯fukaje,lSwe;af;a wfmaCIlhka ;=< iucd;Sh yd úIucd;Sh W;afm%%arl ms<sn| ±kqu mj;sk neúks' (B)

j.ka;shms<s;=ri|ydf;dard.ekSfukaW;afm%%arlfh¥úgridhkslm%%;sl%%shdjliS>%%;djjeäjknjwfmaCIlhska±kisáknjfmfka'kuq;a (D)jrKhf;a¯fukameye†,sjkafkaW;afm%%arlhkqzridhkslm%%;sl%%shdjlil%%shkYla;shwvqlrñkam%%;sl%%shdiS>%%;djjeälrkridhksløjHZnjwfmaCIlhskay∫kdfkd.;aksidh'fuum%%Yakhgksjer†ms<s;=riemhSui|ydW;afm%%arlksr®jpkhiytysl%%shdj,shms<sn|jksjer†ksrjq,a±kqulaisiqkg;sìhhq;=njfhdackdflfr®'

17 jk m%%Yakh ieliS we;af;a kefkda ;dCIKh ms<sn| ±kqu ms˙laiSug h' fï i|ydwfmaCIlhkaf.ka39% laksjer†jrKhjk(2) jrKhf;dardwe;sw;r34% lawfmaCIlhkams˙ila (3) jkjrKhof;dardwe;'uQQ,øjHj,.=Kr|dmj;skqfhamrudKqjl.=Ku;hkwoyiska(3) jkjrKhf;dardf.kwe;'kefkdawxY=j,,CIKms<sn|±kquwfmaCIlhka;=<mj;skuq;atams<sn|ixYaf,aIKd;aul±kqujr®Okhlr.;hq;=njfhdackdflfr®'


÷.◊;h

m%%Yakm;%%fham%%Yakwxl18 isg27 olajdiliaùwe;af;a.◊;húIhfCIa;%%fhks'.◊;hm%%Yakweiq˙kajeäumyiq;djlawe;af;a18 jkm%%Yakhghs'tkï 84% ls'tu.egΩjjr®.M,hwdY%%s;uQQ,sl.Kkhls¯ulaweiq˙kaieliSwe;sksidjeäwfmaCIlhkams˙ilgmyiqfjkaksjer†ms<s;=reiemhSugyelshdj,eîwe;'

.◊;hwdY%%fhkailidwe;sm%%Yakw;˙ka40% gjvdwvqmyiq;djlawe;sm%%Yakjkqfha25 yd26m%%Yakhs'

25 jkm%%Yakhi|ydksjer†jrKhjk (1) jkjrKhf;dardf.kwe;swfmaCIlhkaixLHdj25% ls'kuq;a(2) jrKhksjer†ms<s;=rf,if;dardf.kwe;swfmaCIlhkaf.am%%;sY;h33% ls'fuum%%Yakh,ïnlfr®Ldfollwkql%%uKhkaf.a.=◊;h(-1) nj±lafjkm%%;sM,hydy = mx + c wdldrfhkafok,oir,fr®Ldjlwkql%%uKhm hk±kqufhdodmyiqfjkaúi¢hyels.egÆjls'fuys°fojkiólrKhy = mx + c wdldrhgilialrfkd.ekSuksid(2) jrKhksjer†ms<s;=rf,if;dardf.kwe;'fujeks.egÆiïnkaOjiïu;iólrKhf.dvke.Su"wr®:l:khiyúi∫ïl%%uNdú;ls¯fïwNHdij,ksr;=rejfhoùuu.skawfmaCIlhkafujeksm%%Yaki|ydidr®:ljms<s;=reiemhSugfhduql<yelsh'

26 jkm%%YakhieliS we;af;aixLHd;jHdma;shluOHkHhfiùums<sn|úIh±kquweiq˙ks'fuum%%Yakhi|yd24% muKwfmaCIlhkams˙ila(2) jrKhjkksjer†jrKhf;dardwe;skuq;a39% lajeksjeäms˙ilaf;dardwe;sjrKhjkqfha(5) jkjrKhhs'j.=fjysm<jk;Srefjyswvx.=§w.h¶hkakx f,i;a"§ixLHd;h¶hkakf f,i;aksjer†jy∫kdfkd.ekSfuka"

uOHkHhfiùui|ydΣ f xΣ f

iólrKhNdú;ls¯ufjkqjgΣ f iΣ n

fhdodf.kwe;sneúkams<s;=r

f,ijeäms˙ila(5) jkjrKhf;dardf.kwe;'iïu;wxlkhNdú;lrixLHdkj.=jlaúia;rls¯ug;a"uOHkHhfiùfïiQQ;%%hNdú;dls¯ug;a"wNHdij,ksr;=rejufhoùuu.skawfmaCIlhkaidr®:lf,ims<s;=reiemhSugfhduql<yelsh'

÷f;dr;=reydikaksfõok;dCIKh

m%%Yakm;%%fham%%Yakwxl28 isg37 olajdm%%Yakiliaùwe;af;af;dr;=reydikaksfõok;dCIKhúIhfCIa;%%fhks'30 jkm%%Yakhi|ydmyiq;dj82% ls'm˙.KlfhauQQ,slWmdx.ms<sn|juQQ,sl±kquweiq˙kafuum%%Yakhksr®udKhùwe;sksidby<m%%;sY;hlaksjer†ms<s;=rf,i4

jkjrKhf;dardf.kwe;' f;dr;=re;dCIKhweiq˙kailidwe;sm%%Yakw;=˙ka40% gjvdwvqmyiq;djlawe;sm%%Yakjkqfha34 yd35 m%%Yakhs'

34 jkm%%YakfhkaMicrosoft Excell m%%dfhda.sljNdú;ls¯uiytajdfhafldaI(cell) i|ydfhdok iQQ;%% yd iólrKksjer† j ,sùu ms<sn| ±kqu uek nef,a' fuys° wfmaCIlhkaf.ka28% laksjer†jrKhjk(4) f;dard;snqKo54% lajeksby<m%%;sY;hlaf;dardwe;af;a(5)

jkjrKhhs'or®YShme;=reïm;aj,fldaI,smskhA1 f,iColumn number ydRow number ,sùuiïu;hhs'fldaI,smskmy<gmsgm;al<úg"A2 f,ioyriaw;gmsgm;al<úgB1 f,igofldaI,smskhka,efí'


Wod(

A2

B1

"$" ,l=fKkais≥jkafkaColumn ydRow wxl"absolute" ls¯uhs'tys°

$A2

$A1

$A1 fldmsl<úg"

A$1

B$1

A$1 fldmsl<úg"

$A$1

$A$1

$A$1 fldmsl<úg"

by;m˙†fõ'

me;=reïm;aj, (spread sheet) Ndú; jk fuu úfYaIs; ixfla; yd ishÆu .◊;lr®umsgm;a ls¯u" ixialrKhls¯u m%%dfhda.slj muKla fkdj wNHdi f,i o is≥ ls¯fuka fuu;;a;ajhu`.yrjd.;yel'

35 jkm%%Yakfhka ikaksfõok;dCIKfha Ndú; jk ¯;s ud,djla ms<sn| uQQ,sl±kqum¯CIdflfr®'fuum%%Yakhi|ydksjer†ms<s;=rjk(3) jkjrKhf;dardf.kwe;af;a23% lwfmaCIlhkams˙ils'45% lmuKjeäms˙ila(5) jkjrKhf;dardwe;'wka;r®cd,h(Internet)

hkqm˙.Klcd,j,cd,hls'World Wide Web hkqtuwka;r®cd,fhawe;stlamyiqluls'Internet

Protocol (IP) hkq wka;r®cd,fha Ndú; jk o;a; ikaksfõokh lrk ¯;s ms<sfj<hs' (TCP/IP)

IP address tllahkqm˙.KlhlgwkkHjQQfla;hls'IP address fkdue;sjwka;r®cd,hgmsúishfkdyel'fuulreKqfyd¢ka±kisáfhakïB j.ka;shi;HfkdjknjwfmaCIlhskawjfndaOlr.;hq;=j;sì◊'

÷fN!;slúoHdj

m%%Yak m;%%fha m%%Yak wxl 38 isg 50 olajd m%%Yak ilia ù we;af;a fN!;sl úoHd úIhfCIa;%%fhks'fN!;slúoHdj.egÆ13 ka40% gjvdwvqmyiq;djlawe;sm%%Yak10 lawe;'

38 jkm%%Yakhgksjer†ms<s;=rjk(4) jkjrKhf;dardf.kwe;sm%%;sY;h17% ls'kuq;a43% ljeäm%%;sY;hlaf;dardf.kwe;sjrKh(3) jkms<s;=rhs'wfmaCIlhka;=<SI moaO;sfhaNdú; jkuQQ,sl talliy jHq;amkak tallms<n|±kqu bf.kqï b.ekaùïl%%shdj,sh;=<skajr®Okh lrùfuka fujeks .egÆ i|yd idr®:lj ms<s;=re iemhSug wh≥ïlrejka fhduq l<yelsh'

40 jkm%%YakhieliSwe;af;añkqïWmlrKwdY%%fhks'ksjer†jrKhjk(4) jkjrKhf;dardf.kwe;af;a15% lmuKwfmaCIlhkams˙ilajkw;r46% ljeäms˙ilaf;dardf.kwe;af;a (1) jkjrKhhs' (1) jkjrKfha oYuia:dk;=klgolajdwe;sñkqup,wkaùlaIhu.skauekshyel'kuq;a(4) jkjrKfhai`oyka46 cm jeksúYd,w.hlap,wkaùCIh"jZkshr®le,smrhyduhsfl%%dógrbial=remamqwdudkhhkWmlrKj,skauekshfkdyelsw;roYuia:dkfollgolajdwe;sneúkaógr®rEf,kaouekshfkdyel'thgfya;=jógr®rEf,kauekshyelsl=vduñkqu0'1 cmùuhs'wfmalaIlhkaWmlrKhlskauekshyelsl=vduñkquydúYd,uñkqums<snooekqum%%dfhda.sll=i,;d;=,skajr®Okhlr.;hq;=h'bf.kqï-b.ekaùïl%%shdj,sfha°fïms<sn|jjeämqrwjOdkhfhduqls¯ugfhdackdflfr®'

41 jkm%%YakhYla;shms<sn`ooekquweiq˙kailidwe;'fuys(2) jkjrKhjkksjer†ms<s;=rf;dardwe;af;a15% lwfmaCIlhkams˙ils'kuq;a64% ljeäms˙ilaf;dard.;ams<s;=rjkafka(1) jkjrKhhs'fN!;slúoHdfõ°Ndú;jkfN!;slrdYSkauekSui|ydfhdod.kakdtallms<sn|bf.kqïb.ekaùïl%%shdj,sfhatatawjia:dj,°ksrjq,awjfndaOhla,nd°u;=<skafujeksm%%Yakj,gksjer†jms<s;=re,nd°ugwh≥ïlrejkafhduql<yelsh'


42 jkm%%Yakhilidwe;af;a;dmyqjudrejgwod<.Kkhkams<sn|±kquwdY%%fhks'fuysksjer†ms<s;=rjk(5) jkjrKhf;dardf.kwe;af;a22% lwfmaCIlhkams˙ils'kuq;a32%

lwfmaCIlhkams˙ilafojkjrKhf;dardf.kwe;'fuu.Kkhls¯fï°o;a;úYaf,aIKhlr úi∫ug ;=vq fok iïnkaO;d .◊;uh iólrK f,i m%%ldY ls¯fï l=i,;d jeä†hqKqls¯fïwjYH;djfuys,dwjOdrKhl<hq;=h'jeäwNHdim%%udKhlals¯ui|ydYsIHhkafhduqls¯fukafuu.egÆi|ydidr®:ljms<s;=reiemhSugwh≥ïlrejkafhduql<yelsh'

imhk;dmm%%udKiudkksidQA = Q

B fõ'Q = mcθ u.ska"

m c

B

2 θ

A = 2 m c

B θ

B

θ

A

2 = 2 θ

B

θ

A = 4

θ

B

44 jkm%%YakhwdlsñãiauQQ,Or®uhms<sn|±kqums˙laiSugieliSwe;sm%%Yakhls'tysksjer†ms<s;=rjk (3) jkjrKhf;dardf.kwe;swfmaCIlhka.Kk26% lajkw;r43% ljeäms˙ilaf;dardf.kwe;af;afojkjrKhhs'°we;so;a;wkqjmy;iïnkaO;djweiqfrkaksjer†ms<s;=r,nd.;yel'iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'

n,iu;=,s;;dju.ska"

Wvql=ref;rmqu(Vρg) = mg

wjia:dfoli|ydufuhfh°fuka"

60 = ( 2

3 Ah) ρg (1)

60 + P = (Ah) ρg (2)

(1)/(2)

60

60 + P = 2

3

P = 30 N

hdka;%%slYla;shyd;dmYla;shms<sn|uQQ,sl±kquweiq˙ka45 jkm%%Yakhilialrwe;'fuum%%Yakfhaksjer†ms<s;=rjk (4) jkjrKh33% lwfmaCIlhkams˙ilaf;dardf.kwe;'fuu.egÆfõms<s;=rmy;iïnkaO;dju.ska,nd.;yel'iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'

ydksjQQpd,lYla;sh = ;s˙x.mEvj,ksmojQQ;dmh

1

2 m v2 = mcθ

1

2 ×

800 ×

15 × 15 = 4.8 × 1200 ×

θ

θ = 800 × 15

2

2 × 4.8 × 1200

46 jkm%%YakhieliSwe;af;aúoHq;aOdrdfõ;dmkM,hms<sn|.Kkhls¯uwdY%%fhks'fuum%%Yakhgksjer†ms<s;=rjk(5) jkjrKhf;dardwe;af;a5% lmuKb;duwvqwfmaCIlhkams˙ils'm<uqjkjrKh45% lmuKms˙ilaf;dardf.kwe;'P = VI hkiïnkaO;djfhaV ksh;

ksidP = V 2

R fh†hyelswjia:dfolgu"


V

R R

V

R

R

P1 =

V 2R

1

P2 =

V 2R

2

12 = V 22R (1) P = 2 ×

V 2R (2)

(1) yd(2) ka"

12

P = V 2 × R

2R × 2V 2

12

P = 1

4

P = 48 W

.Kkhkai|ydiEuúgurEmigykaWmfhda.Slr.ekSu.Kkhkamyiqlr.ekSugfya;=fõ'wjfndaOh"iïnkaO;d±lSuiyixiaf,aIKhls¯fïyelshdjkajr®Okhls¯fïwNHdim%%.=Kls¯ugfhdackdflfr®'

47 jkm%%YakhieliSwe;af;am%%;Hia:;djms<sn|uQQ,sliólrKhweiq˙ks'fuum%%Yakhi|ydksjer†jrKhjk(3) jkjrKhf;dardf.kwe;af;a33% lwfmaCIlhkams˙ilamu◊'my;iïnkaO;djNdú;fhka.egÆjúi¢hyel'

hxudmdxlh(Y) =

wd;kHm%%;Hdn,h

wd;kHúl%%shdj =

F/Ae/l

=

w/2Al/8A

= 4 wA

°we;so;a;tukshuhgwod<.◊;uhm%%ldYkhf,i,shdúi£ugwfmaCIs;h'.egÆjgwod<ixl,amhksjer†jy∫kd.ekSfïydo;a;úYaf,aIKhlrúi∫ug;=vqfokiïnkaO;d.◊;iólrKf,im%%ldYls¯fïl=i,;djeä†hqKqls¯ugfhdackdflfr®'

48 jkm%%YakhWIaK;ajhiu.ikakdhlj,yeis¯u weiq˙kaksr®udKhlr we;' fïi|ydksjer†ms<s;=rjk(4) jkjrKh27% lwfmaCIlhkams˙ilaf;dardf.kwe;sw;r22%

lms˙ilaksjer†jrKhf,i(1) jkjrKhf;dard.kwe;'fuum%%Yakhgms<s;=reiemhSfï°iqms˙ikakdhlms<sn|uQQ,slisoaOdka;wOHhkfhka(1), (3) yd(5) jrKtljrbj;al<yel'ikakdhlj,m%%;sfrdaOl;djWIaK;ajhiu.jeäjknjfydawr®Oikakdhlj,m%%;sfrdaOl;djWIaK;ajhiu.wvqjknj±k.ekSfukams<s;=r(4) njf;dard.;yel'øjHj,úoHq;am%%;sfrdaOl;djWIaK;ajhiu.úp,khfmkakqïlrkwNHdijeäm%%udKhlals¯ui|ydisiqkafhduqls¯ugfhdackdflfr®'


49 jkm%%YakhjD;a;p,s;hweiq˙ks'fïi|ydksjer†ms<s;=rjk(3) jrKhf;dardf.kwe;af;a36% lwfmaCIlhkams˙ilajkw;r(1) jkjrKho38% lm%%;sY;hlaf;dardf.kwe;'

fuys ksjer† m%%;spdrh (3) jk jrKh jk kuq;a jeä wfmaCIlhka ms˙ila (1) jk jrKhof;dardf.kwe;'thgfya;=jjkafkaialkaOh;ka;=jTiafiajD;a;dldrm:hl.ukal<;a;ka;=jlevqKqúgflakaødmid¯n,hwe;ehsie,lSfukaúhyelsh'jD;a;dldrm:hl.ukalrkúgflakaøwmid¯ydflakaøwNsid¯n,iudkjkw;r;ka;=jlevqKqúgflakaøwNsid¯n,hke;sùhhs'taiu.uflakaøwmid¯n,hoke;sùhhs'fïfya;=fjkawxY=jgwe;af;aiamr®YhTiafiam%%fõ.hlamuKlaneúkaialkaOhiamr®YhTiafiap,khfõ'kHdhd;aul±kqujr®Okhi|ydm%%dfhda.slw;a±lSïweiqrelr.ekSugfhdackdflfr®'


2.2. II m%YAk m;%h yd ms<s;=re iemhSu ms<sn| f;dr;=re

2.2.1. II m%Yak m;%fha jHqyh

ld,hmeh 03ls'uqΩ,l=Kq100ls'

fuum%Yakm;%hA, B, C ydD jYfhkafldgiay;rlskaiukaú;fõ' A fldgi - jHqy.;rpkdjr®.fham%Yaky;rls'm%Yakish,a,gums<s;=re

iemhshhq;=h'tlam%Yakhlg,l=Kq100 ne.ska,l=Kq400 ls'

B, C ydD hkfldgiaj,skawjujYfhkam%Yaktlne.skaf;dardf.km%Yaky;rlgmuKlams<s;=reiemhshhq;=h' B fldgi - rpkdjr®.fha.◊;m%Yakfolls' tlam%Yakhlg,l=Kq150ls' C fldgi - rpkdjr®.fharidhkúoHdjm%Yakfolls' tlam%Yakhlg,l=Kq150ls' D fldgi - rpkdjr®.fhafN!;slúoHdjm%Yakfolls' tlam%Yakhlg,l=Kq150ls'

B, C ydD i|yduqΩ,l=Kq = 150 × 4 = 600

˚˚m;%h i|yduqΩ,l=Kq = 1000 ÷ 10 = 100


2.2.2. II m%Yak m;%h i|yd m%Yak f;dard we;s wdldrh yd m%Yakj, myiq;dj

-26-

97

98

97

94

71

65

75

57

26

41

35

17

25

10

25

24

27

23

13

14

0 10

20

30

40

50

60

70

80

90

100

1 2

3 4

5 6

7 8

9 10

1

Facility Index

Par

ts a

nd S

ub P

arts

G.C

.E.(

A.L

.) E

xam

inat

ion

- 20

16

Che

mis

try

- P

aper

II

(Par

t B

) F

acili

ty I

ndic

es o

f P

arts

and

Sub

Par

ts

-26-

97

98

97

94

71

65

75

57

26

41

35

17

25

10

25

24

27

23

13

14

0 10

20

30

40

50

60

70

80

90

100

1 2

3 4

5 6

7 8

9 10

1

Facility Index

Par

ts a

nd S

ub P

arts

G.C

.E.(

A.L

.) E

xam

inat

ion

- 20

16

Che

mis

try

- P

aper

II

(Par

t B

) F

acili

ty I

ndic

es o

f P

arts

and

Sub

Par

ts

m%%;sY;h

m%Y

ak w

xlh

m%Y

ak f

;a¯

u

w'f

md'i

' ^W

'fm

<&

úN

d.h

- 2

016

67 -

;dC

IK

fõ

oh

i|

yd

úoHd

j -

II m

;%h

m

%Yak

f;

dard

we;

s wdl

drh

yd

m%Y

akj

, m

yi

q;dj

m%Y

akfh

a my

iq;

dj

-26-

97

98

97

94

71

65

75

57

26

41

35

17

25

10

25

24

27

23

13

14

0 10

20

30

40

50

60

70

80

90

100

1 2

3 4

5 6

7 8

9 10

1

Facility Index

Par

ts a

nd S

ub P

arts

G.C

.E.(

A.L

.) E

xam

inat

ion

- 20

16

Che

mis

try

- P

aper

II

(Par

t B

) F

acili

ty I

ndic

es o

f P

arts

and

Sub

Par

ts


2.2.3. II m%Yak m;%h i|yd wfmaÈs; ms<s;=re" ,l=Kq °fï mámdáh" ms<s;=re iemhSu ms<sn| ks¯ÈK" ks.uk yd fhdackd

II m;%h i|yd ms<s;=re iemhSu ms<sn| ks¯laIK m%ia;dr wxl 2" 3" 4'1 iy 4'2 weiq˙ka ilia lr we;'

A fldgi - jHQy.; rpkd 1 m%Yakh

√

√

√

√√

×

×

×

××

×

×

×

××

(01 × 15 = ,l=Kq 15)

..............................................................................................................................................^wuqls˙j,isák&wys;lr$wkjYH$frda.we;slrkCIqø„ùkaúkdYls¯ug$bj;als¯ug

(,l=Kq 05)

..............................................................................................................................................,elaála wï, ksmojk nelaà˙hd$uqyqkaj, isák nelaà˙hd fyda CIqø„ùkaf.al%%shdld¯;ajhm%%Yia;jkneúks'

(,l=Kq 05)

..............................................................................................................................................nelaà˙hd.ykhjeäùublaukals¯ug$nelaà˙hdjr®Okfõ.hjeäls¯ug

(,l=Kq 05)

..............................................................................................................................................1. nelaà˙hdu.skals˙iSks,elaálawï,hnjgm;aùu

..............................................................................................................................................2. ,elaálawï,hksidls˙fm%%daàkleá.eiSu

(05 × 2 = ,l=Kq 10)


..............................................................................................................................................cdkwe;=<;alrfydabj;alr$fjkialr,nd.kakdwÆ;a„ùkah'

(,l=Kq 05)

mshjr tkaihsuh

(A) ksYaÑ;ia:dkhlskaDNA lemSu (Restriction) tkafvdakshqla,sfhaia$friaá%%laIkatkaihsu

(B) f;dard.;aDNA fldgiafollaixfhdackhls¯u (DNA) ,hsf.aia

.......................................................................................................................................Q

(,l=Kq 05)

.......................................................................................................................................fm%%daáfhaia(Protease)/fmmaáfâia

(,l=Kq 05)

.......................................................................................................................................nhshQQfr®Üm¯CIdj(Biuret test)

(,l=Kq 05)


...........................................................................................................................................whäka

(,l=Kq 05)

...........................................................................................................................................Z ^,smsv&

(,l=Kq 05)

...........................................................................................................................................fudfkdielrhsâ(Monosaccharide)

(,l=Kq 05)

...........................................................................................................................................fnkälaÜ(Benedict) -ks,ajr®Khfyda^fµa,sxA+B -ks,ajr®Kh&

m%%;sl%%shlh ,l=Kq 03jr®Kh ,l=Kq 02

(,l=Kq 05)

...........................................................................................................................................fnkälaÜi|yd.fvd,ar;=(Brick red),fµa,sxi|ydr;=

(,l=Kq 05)

...........................................................................................................................................Y^iqfl%%daia&

(,l=Kq 05)

m%%Yak wxl 1 i|yd uqΩ ,l=Kq 100


1 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd (

m<uqm%Yakhwksjdr®hhjqj;a"Bgms<s;=reimhdwe;af;awh≥ïlrejkaf.ka97%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25 m%dka;rfha 44%lao ,l=Kq26 - 50m%dka;rfha39%lao ,l=Kq51 - 75m%dka;rfha16%lao ,l=Kq76 - 100m%dka;rfha 1%lao,l=Kq,ndf.kwe;'

fuum%Yakhi|yd,l=Kq 76gjvd,nd.;a ms˙i 1%lamuK iqΩ ms˙ila jk w;r" wh≥ïlrejkaf.ka 83%la,ndf.kwe;af;a,l=Kq50gfydaBgjvdwvqfjks'

m%Yakh i|yd ,l=Kq ,nd we;s wdldrh

-19-

00 - 25 44%

26 - 50 39%

51 - 75 16%

76 - 100 1%

fuujHQQy.;rpkdm%Yakhgwkqfldgia16la we;s w;rishÆu wkqfldgiaj,myiq;dj 61%gjvd wvq h' tfuka uwkqfldgia 10l myiq;dj 40%g jvdwvq h' myiq u wkqfldgi (a) ù we;sw;rtysmyiq;dj61%ls'myiq;djwvquwkqfldgi (b)(iii) fõ'tysmyiq;dj2%ls'

m%Yakfha fldgia yd wkqfldgiaj, myiq;dj

myiq;dj

-26-

61%

51%

23%

2% 5%

19%

26%

56%

19%

37%

16%

54%

44%

34% 28%

53%

0

10

20

30

40

50

60

70

80

90

100

(1) (2) (3)

(i) (ii) (iii) (iv) (i) (ii) (iii) (i) (ii) (iii) (iv) (v) (vi)

(a) (b) (c) (d)

1 1 m%Yakfhys fldgia yd wkqfldgia

1 jkm%%YakhfuhCIqø„júoHdjiyffcjdKqj,jHQQywdY%%s;jilidwe;'CIqø„ùksIamdokl%%shdj,shlwkqms<sfj,tla tla mshjrj,úfYaIs;ldr®hhka" tla tla w†hrj,is≥jkffcjridhkslm%%;sl%%shd"tum%%;sl%%shdj,iS>%%;djhgn,mdkidOlms<sn|jwe;swvqwjfndaOh(b)(ii), (iii), (iv) wkqfldgiaj,23%, 2%yd5% jekswvqmyiq;djkafmkaùugfya;=ùwe;'

(c) yd (d) fldgiaj,° wod< úIh fldgiaj, ±kqu uekSula is≥ fõ' ffcjdKqj, jHQQyh ydffcjdKqj,,CIK"tuffcjdKqy∫kd.ekSfïm¯CIdms<sn|ifudaOdksl±k.ekSfïwjYH;djhfuufldgigms<s;=reiemhSfïmyiq;djjr®Okhgfya;=fõ'

iuia;hla f,i.;aúg wh≥ïlrejka wvq myiq;djla olajk fldgiaj,ska fmkS hkafka úIhlreKqwdjr®ckfhaiym%%ldYkfhys≥r®j,;djhhs'm%%Yaklrñkabf.kqï-b.ekaùïl%%shdj,sfhafh°u"fuufldgiau;lfhar|jd.ekSugwfmaCIlhdgbjy,aúhyel'YsIHhdf.ajdÑliy,sÅ;m%%ldYkYla;shu;=lr.ekSuojeo.;afõ'bf.kqï -b.ekaùïl%%shdj,sfha °isiqkaf.aOdrKYla;shuekne,SuiywNsfm%%arKhi|ydksrka;rfhkawe.hSïis≥ls¯uowjYHfõ'tu.skaidOkuÜguby<kxjd.ekSugfhdackdflfr®'


2 m%Yakh

...........................................................................................................................................újD;

(,l=Kq 05)

øj c,h c, jdIam

1. wKqw;rwdlr®IKn,m%%n,hs'

2. wKqj,pd,lYla;sh$fõ.hwvqhs'

3. wKqw;r≥rwvqhs'

wKqw;rwdlr®IKn,wvqhs'$ke;'

wKqj,pd,lYla;sh$fõ.hjeähs'

wKqw;r≥rjeähs'

(fomiu ´kEu lreKq follg 10 × 2 = ,l=Kq 20)

........................................................................................................................................... 40°C

(,l=Kq 05)


CaO + H2O ^m%%;sl%%shl&

Ca(OH)2 ^m%%;sM,&

Yla;sh

(05 × 2 = ,l=Kq 10)

........................................................................................................................................... Q = mcΔθ or Q = mcθ (,l=Kq 05) = 150(g) × 4.3 (J°C-1g-1) × 40(°C) = 25.8 kJ (,l=Kq 05)

...........................................................................................................................................

...........................................................................................................................................

(ms<s;=r + tallh = ,l=Kq 04 + 01)

........................................................................................................................................... 100 g115.8 kJ

× 25.8 kJ (,l=Kq 05)

= 22.28 g ...........................................................................................................................................

...........................................................................................................................................

(ms<s;=r + tallh = ,l=Kq 04 + 01)

........................................................................................................................................... ΔθΔt

or - ΔθΔt

(,l=Kq 05)

= 4.2°C10 min (,l=Kq 05)

= 0.42 (,l=Kq 05)

...........................................................................................................................................

...........................................................................................................................................

...........................................................................................................................................

...........................................................................................................................................ñks;a;=4

(tallh iu. ms<s;=r = ,l=Kq 05)

...........................................................................................................................................CaOysidudkHlaIhùfïiS>%%;djh = - Δm

Δt (,l=Kq 05)

= 22.28 g4 min (,l=Kq 05)

= 5.57 (,l=Kq 05)

...........................................................................................................................................

...........................................................................................................................................

...........................................................................................................................................




fojk m%Yakh wksjdr®hh jk kuq;a" Bg ms<s;=re imhdwe;af;awh≥ïlrejkaf.ka98%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25m%dka;rfha80%lao ,l=Kq26 - 50m%dka;rfha18%lao ,l=Kq51 - 75m%dka;rfha2%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'

fuum%Yakhi|yd,l=Kq76gjvd,ndwe;slsis∫wfmaCIl-hl= fkdue;s w;r" wh≥ïlrejkaf.ka 98%la u,ndf.kwe;af;a,l=Kq50gjvdwvqfjks'


-19-

00 - 25 80%

26 - 50 18%

51 - 75 2%

76 - 100 0%

fuum%Yakfha wkqfldgia 9la we;s w;r"bka wkqfldgia 8l u myiq;dj 40%gjvd wvqh' myiq u wkqfldgi (a)(i) ùwe;sw;rtysmyiq;dj50%ls'myiq;dj wvq u wkqfldgia (b)(iv) yd (b)(vii) jk w;rtysmyiq;dj1%ls'


myiq;dj

-26-

50%

26%

5%

31% 26%

1% 8% 5%

1% 0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (i) (ii) (iii) (iv) (v) (vi) (vii)

(a) (b)

2

2 m%Yakfhys fldgia yd wkqfldgia

;dmixl%%uKhiym%%;sl%%shdjliS>%%;djgwod<m%%Yakhlajkfuys(a)(i) fldgii|ydwh≥ïlrejka

50%lmyiq;djlaolajdwe;'fuhWm˙umyiq;djolajk,owkqfldgihs'

(b)(iv), (b)(vii) wkqfldgia1% jekswjumyiq;djlafmkajdwe;' (b)(i) fldgigms<s;=re,sùfï°

fndfyduhlawfmaCIlhskafuyswdrïNlWIaK;ajh;a(35°C), m%%;sl%%shdjis≥jQQld,h;=<we;sjQQ§Wm˙u¶WIaK;ajh(75°C) hkwjia:dy∫kdf.kfkd;sîums<s;=rem;%%we.hSfï°olakg,eì◊'

fuys°imhk,oo;a;ksjer†jlshjdwjfndaOlr.ekSui|ydksr;=reju.egÆúi£ufhdackd

flfr®' .Kkh ls¯ï wvq idOk uÜgul we;s ksid" wfmaCIlhd jeä m%%ùK;djla ,nd.ekSug

.◊;uhiqΩls¯ïmqyqKql<hq;=h'

(b)(vii)ysm%%;sl%%shdjlm%%;sl%%shlydM,weiq˙kam%%;sl%%shdiS>%%;diólrKh,sùfï°,l=Kqiïuq;sh

ksjer†jfh°ums<sn|jwjOdkhfhduql<hq;=h'


3 m%Yakh

Z

E

6 V

S R

A

X

+

+

A

V

Y

8 Ω

B

fyda

V

8 ΩZ

E

6 V

S R

A

X

+

+

AY

B

(05 × 3 = ,l=Kq 15)

(ms<s;=re folu ksjer† kï ,l=Kq 05)

.............................................................................................................................................. Wm˙uOdrdj = VR

= 6 V8 Ω

(,l=Kq 02)

= 0.75 A = 750 mA (,l=Kq 03)

(ms<s;=r + tallh = ,l=Kq 04 + 01)

........................................................................................................................................1 A (,l=Kq 05)

........................................................................................................................................Odrdjjvdksjer†j$jvdksYaÑ;j$wvqfodaIiys;jlshúhyelsh$weógrhWm˙uixfõ°;djlskal%%shdlrhs'

(´kEu ksjer† fya;=jlg" ,l=Kq 05)


(uQQ, ,CIh yryd hk ir, fr®Ldj i|yd ,l=Kq 10)

........................................................................................................................................ú≥,smkaoïn,anhyryd6 VúNjwka;rhlaiemhQQúgtu.skaW;air®ckh$m˙fNdackhCIu;dj0.36 Wfõ'

(,l=Kq 05)

........................................................................................................................................^iQQ;s%%ldj;=<ska.,kOdrdju.skaksmojk;dmfhka&iQQ;%%sldfõm%%;sfrdaOhjeäùuksid

(,l=Kq 05)

R = V 2P (,l=Kq 02)

= 360.36

(,l=Kq 03)

= 100 Ω


(ms<s;=r + tallh = ,l=Kq 04 + 01)

I = PR√ fydaV/R fydaP/V (,l=Kq 02)

= 0.36100√

fyda 6100

fyda0.36/6 (,l=Kq 03)

= 0.06 A = 60 mA

(ms<s;=r + tallh = ,l=Kq 04 + 01)

P ≡ (60 mA, 6 V)

P

(m%%ia;drh u; P ,laIh ,l=Kq ls¯u i|yd ,l=Kq 05)

Rt = R0 (1 + aΔθ) (,l=Kq 02)

10 = R0 (1 + 0.0043 × 18) (,l=Kq 04)

100 = R0 (1 + 0.0043θ) (,l=Kq 04) θ = 2273 °C

(ms<s;=r + tallh = ,l=Kq 04 + 01)



3 jk m%Yakhg ms<s;=re iemhSu ms<sn| iuia; ks¯ÈK" ks.uk yd fhdackd m%Yakh i|yd ,l=Kq ,nd we;s wdldrh f;jk m%Yakh wksjdr®hh jkkuq;a" Bg ms<s;=re imhd

we;af;a97%ls'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq0 - 25m%dka;rfha61%lao ,l=Kq26 - 50m%dka;rfha28%lao ,l=Kq51 - 75m%dka;rfha11%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'

fuum%Yakhi|yd,l=Kq76gjvdlsisfjl=,ndfkdue;sw;r"wh≥ïlrejkaf.ka61%lau,ndf.kwe;af;a,l=Kq25lgjvdwvq,l=Kqm%udKhls'

-19-

00 - 25 61%

26 - 50 28%

51 - 75 11%

76 - 100 0%

fN!;sl úoHdj weiq˙ka ilid we;s fuum%Yakfha wkqfldgia 11la we;s w;r" bkawkqfldgia8lmyiq;dj40%gwvqh'myiquwkqfldgi(a)(iv)(1) ùwe;sw;rtysmyiq;dj51%ls'myiq;djwvquwkqfldgi (b)(ii) fõ'tysmyiq;dj2%ls'


myiq;dj

-26-

41%

30%

39%

51%

18%

41%

21%

2%

17% 13%

3%

0

10

20

30

40

50

60

70

80

90

100

(1) (2) (1) (2)

(i) (ii) (iii) (iv) (v) (i) (ii) (iii) (iv)

(a) (b)


fuu .egÆfjka wfmaCId lr we;af;a wfmaCIlhdg weógr" fjda,aÜógr yd m%%;sfrdaO ms<sn|wjfndaOhfukautuWmlrKm˙m:hlksjer†jiïnkaOlrkwdldrhms<sn|jwe;sl=i,;djhfidhd ne,Suhs' weógrhla m˙m:fha m%%;sfrdaOhlg fY%%a◊.;j;a" fjda,aÜógrhla m%%;sfrdaOhlgiudka;r.;j;aiïnkaOlrkw;rtajdneg˙fha(+) yd(-) w.%%i,lñkaksjer†jiïnkaOls¯ums<sn|l=i,;djhfuys(a)(1) fldgiskawfmaCIdlrhs'tysmyiq;dj41% ls'(a)(iii) fldgfiys´ïkshuhms<sn|wjfndaOhms<s;=re,sùui|ydm%%fhdackj;afõ'

Wm˙uOdrdj= VR =

6 V8 Ω = 750 mA ls'

(a)(iv) ys 1 A yd10 A weógrj,skafuys.,kWm˙uOdrdj750 mA fõ'tuksidjvd;aixfõ°jOdrdjuekSugjvdfhda.Hhjkafka1 A weógrhfõ'

(b) ysn,anhliQQ;%%sldjjeks´ñlfkdjkikakdhlhla;=<skaOdrdj.d,dhkúgV iyI w;r m%%ia;drhmy;m˙†fõ'm%%ia;drfhawkql%%uKfhkam%%;sfrdaOh,efí'

R = VI = tan θ

R jeäjkúgtan θ j,w.hjeäfõ'R ∝ tan θtúgm%%ia;drhjl%%fõ'

V

I

(b) ys(iv)fldgigwfmaCIlhdúiskams<s;=re°fïmyiq;dj3% ls'fuhm%%;sfrdaOWIaK;ajyuqfõyeis¯uolajkR

1 = R

0(1 + aΔθ)Ndú;fhkais≥lrk.Kkhls¯uls',nd°we;so;a;y∫kdf.k"

.e<fmkiólrKhf;dard.ekSuydiólrKhgw.hkaksjer†talliys;jwdfoaYls¯ums<sn|≥r®j,;d ±laùu ksid wfmaCIlhkag ksjer† ms<s;=r ,nd.ekSug fkdyels ù we;s nj fmfka'bf.kqï-b.ekaùïl%%shdj,sfhys°m%%dfhda.slm¯CIKksjer†jis≥ls¯fïl=i,;djh,nd°u;auQQ,slkHdhhkaiyiQQ;%%ms<sn|j±kqujr®Okhls¯u;aw.hhkawdfoaYlrksjer†jiqΩls¯ugYsIHhkafhduqls¯u;ais≥l<hq;=h'


4 m%Yakh

.................................................................................................................

mgA

(,l=Kq 05)

.................................................................................................................

l - l0l0

(,l=Kq 05)

....................................................................................................................................................

....................................................................................................................................................

mgA = Y' l - l0

l0 ^hxudmdxlhi|ydYsIHdg´kEuixfla;hlafydajpkhlaNdú;l<yelsh'& fyda

mgA ∝

l - l0l0 (,l=Kq 05)

....................................................................................................................................................rnr®nghgfhdokq,nkialkaOh$nr^m fydakg&tawjia:dfõ°rnr®ngfhakj†.^l&

(05 × 2 = ,l=Kq 10)

....................................................................................................................................................

l = ( gl0

AY ' ) m + l0

(,l=Kq 05)

...........................................

gl0

AY ' ...........................................

l 0

(05 × 2 = ,l=Kq 10)


(ksjer† wCI iys; m%%ia;drhg ,l=Kq 10)

.............................................................................................................................................

Y ' = gl0

A×G

(,l=Kq 05)

rnr®ngfhawNHka;riyndysrúIalïNh (,l=Kq 05)rnr®ngfhawdrïNl†.^l0& (,l=Kq 05).............................................................................................................................................

ñkqu WmlrKh l=vdu ñkqu$ññ (mm)wNHka;rúIalïNh p,wkaùCIh 0.01

ndysrúIalïNh p,wkaùCIh 0.01

wdrïNl†."l0 ógr®flda≥j 1

(WmlrKh + l=vdu ñkqu = (03 + 02) × 3 = ,l=Kq 15)(WmlrKh rys;j l=vdu ñkqu muKla we;s wjia:djl ,l=Kq m%%odkh fkdlrkak'&

m%%;Hdia:úNjYla;sh= 12 × n,h× ú;;shfyda

m%%;Hdia:úNjYla;sh= 12 × mg × ^l - l0&

n,h^mg&

ú;;sh^l - l0&

(ksjer† wlaI i|yd = (02 × 2 = ,l=Kq 04) (wlaI ksjer† kï yevh i|yd = ,l=Kq 06)




y;rjkm%Yakhwksjdr®hjqj;a"Bgms<s;=reimhdwe;af;a94%lmuKms˙ils'fuum%Yakhi|yd,l=Kq100laysñfõ'bka,l=Kq 0 - 25m%dka;rfha93%lao ,l=Kq26 - 50m%dka;rfha6%lao ,l=Kq51 - 75m%dka;rfha1%lao ,l=Kq76 - 100m%dka;rfha0%lao,l=Kq,ndf.kwe;'

fuum%Yakhi|yd,l=Kq76gjvdlsisfjl=,ndfkdue;sw;r"wh≥ïlrejkaf.ka93%lau,ndf.kwe;af;a,l=Kq25fydaBgjvdwvqfjks'


-19-

00 - 25 93%

26 - 50 6%

51 - 75 1%

76 - 100 0%

fN!;slúoHdjwdY%s;fuum%Yakfhawkqfldgia10la we;s w;r" ishÆu fldgiaj, myiq;dj20%g wvq h' myiqu wkqfldgi ù we;af;a (a) h'tysmyiq;dj19%lamuKfõ'


myiq;dj

-26-

19% 14%

5% 1% 2% 0% 0%

13% 17%

12%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii)

(a) (b) (c) (d) (e) (f) (g) (h)


hxudmdxlhfiùugwod<m%%Yakhlajkfuys(a) iy(b) fldgiaj,Wm˙umyiq;dj19% yd14%fõ'

fuum%%Yakfhys hxudmdxlhgwod<fldgia w;˙ka by<umyiq;djla±lajQQfha fuufldgia

foljkw;rtajdhxudmdxlfhauQQ,slisoaOdka;hms<sn|wjfndaOhueknef,kfldgiafolls'

m%%dfhda.slm¯CIKhl°wd;kHm%%;Hdn,hydúl%%shdjw;riïnkaO;djms<sn|wfmaCIlhd;=<

wfklafldgiaj,gidfmaCIjie,lshhq;=idOkuÜgulamj;S'(c), (d), (e), (f), (g)(i) fldgiaj,myiq;djms<sfj,ska5%, 1%, 2%, 0% yd0% jQQwjuw.hkafõ'm¯CIKfha°,nd.kakdo;a;

u.ska"wod<úp,Hhkay∫kdf.km%%ia;drh,nd.ekSui|yd°we;siólrKhilials¯ug;a"

m%%ia;d˙ll%%uhlaweiq˙kalsishïfN!;slrdYshlafiùu"úp,Hhkafjkals¯u"m%%ia;drfhaiajNdjh

;r®ldKql+,j,nd.ekSugisiqkayqreùfkd;sîufufiawjumyiq;djlajdr®;dùugfya;=ùwe;'

m%%dfhda.slm¯CIKj,fh°u"tysm%%;sM,.◊;uhisoaOdka;j,gwkqjyeisfrknjy∫kd.ekSu

ydtawdY%%s;jiïnkaO;df.dvke.Sugisiqkafhduql<hq;=h'

wksjdr®hhm%%Yakhlajqjofuum%%Yakhi|ydwfmaCIlhkaf.ka6% lm%%;sY;hlams<s;=reimhd

fkd;sîfuka fmkS hkafka modr®:fha hdka;%%sl .=K ye≤¯u i|yd fjka ù we;s ld,h wvqùu

fya;=fjka wfmaCIlhska fuu úIh fldgi i|yd jvd;a wjOdkhla fhduq fkdls¯uhs' úIh

ksr®foaYhgwvx.=ishÆm%%dfhda.slm¯CIKydisoaOdka;ms<sn|wjfndaOhlawe;slr.ekSugisiqka

fhduql<hq;=fõ'm%%dfhda.slm¯CIKj,gwod<m%%Yakj,gjeäjYfhkams<s;=reiemhSugfhduq

lrùuisiqkaf.aidOkuÜguby<kexúhyelsh'


B fldgi - rpkd

5 m%Yakh

5. (a) (i) uOHkH†. = Σ

ni=1

n

xi (,l=Kq 02)

= 1001220 (,l=Kq 03)

= 500.6 cm (5.006 m) (ms<s;=r + tallh = ,l=Kq 04 + 01) fjk;a ksjer† l%%u i|yd o ,l=Kq fokak'


(ii) w.h$fi'ó' ixLHd;h iuqÉÑ; ixLHd;h

495 1 1497 1 2498 3 5499 2 7500 2 9501 4 13502 3 16503 1 17504 1 18505 1 19506 1 20

(ishÆu ixLHd;hka i|yd = ,l=Kq 05) (ishÆu iuqÉÑ; ixLHd;hka i|yd = ,l=Kq 10)

(iii) ud;h = 501 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

uOHia:h = (n + 1)th

2 = 10.5th = 10th + 0.5(11th -10th) (,l=Kq 05)

= 501 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) l+rejeäm%%udKhl†.501 cmfõ'^ud;h& (,l=Kq 05) 501 cm u.skal+rej,†.iudkfldgiafollgfnokq,efí'^uOHia:h& (,l=Kq 05)

(iv) Q1 = (n + 1)th

4 w.h

= 214 = 5.25th w.h + 5th + 2.5(6th-5th) (,l=Kq 02)

= 498 + 0.25 × 1 (,l=Kq 03)

= 498.3 cm (498.25 cm) (ms<s;=r + tallh = ,l=Kq 04 + 01)

Q3 = 3 (n + 1)th

4 w.h

= 3 × 214 = 15.75th w.h = 15th + 0.75(16th-15th) (,l=Kq 02)

= 502 + 0.75 × 0 (,l=Kq 03)

= 502 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

(v) wka;Yap;=r®:lmrdih = Q3 - Q1

= 502 - 498.3 (,l=Kq 02)

= 502 - 498.25 (,l=Kq 03)

= 3.7 cm fyda3.75 cm fyda3.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) kshe†fhaf,dayl+rej,skauOHfha50% la3.7 cm fyda3.75 cm fyda3.8 cm mrdihlmsysghs' (,l=Kq 05)


(vi) mka;s m%%dka;rh ixLHd;h" f mka;s ,l=K wm.ukh" d f d495 - 497 2 496 - 3 - 6498 - 500 7 499 = A 0 0501 - 503 8 502 3 24504 - 506 3 505 6 18

(ixLHd;h = ,l=Kq 05) (wm.ukh = ,l=Kq 05) (ixLHd;h × wm.ukh (f d) = ,l=Kq 05)

uOHkHh = A + Σ fdΣ f (,l=Kq 02)

= 499 + 3620 (,l=Kq 03)

= 500.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01) úl,am ms<s;=r ( mka;s m%%dka;rh ixLHd;h" f mka;s ,l=K wm.ukh" d f d

495 - 497 2 496 - 6 - 6498 - 500 7 499 - 3 - 3501 - 503 8 502 = A 0 0504 - 506 3 505 3 3

(ixLHd;h = ,l=Kq 05) (wm.ukh = ,l=Kq 05) (ixLHd;h × wm.ukh (f d) = ,l=Kq 05)

uOHkHh = A + Σ fdΣ f (,l=Kq 02)

= 499 + (-24)

20 (,l=Kq 03)

= 500.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

5(a) : ,l=Kq 110

(b) (i) mka;sfha by< udhsu iuqÉÑ; ixLHd;h

59.5 079.5 699.5 14119.5 27139.5 32159.5 36179.5 39199.5 40


059.5 79.5 99.5 119.5 139.5 179.5159.5 199.5

20

10

30

40

iuqÉÑ; ixLHd;h

mka;sfha by< udhsu

(ksjer† LKavdxl i|yd 01 × 8 = ,l=Kq 08) (ksjer† wCI i|yd 02 × 2 = ,l=Kq 04) (m%%ia;drfha yevh i|yd = ,l=Kq 08)

(ii) 100.5 gwvqfiajlixLHdj = 14.5isg 14.9 olajd 100.5 gjeäfiajlixLHdj = 40 - 14.5fyda 40 - 14.9 = 25.1isg 25.5 olajd (,l=Kq 03)

100.5 gjeäfiajlixLHdjf.am%%;sY;h = 25.540 × 100 fyda 25.1

40 × 100 (fn°u" ,l=Kq 05) (100 ka .=K ls¯u" ,l=Kq 05)

= 62.75% isg63.75%olajd (ms<s;=r + m%%;sY; ,l=K = ,l=Kq 04 + 01) úl,am ms<s;=r (

y wlaIhkej;m˙udKhgie,lSuu.skaRcqjums<s;=re,nd.ekSu

m%%;sY;h 100.5 gwvq = 36.25isg 37.25 (,l=Kq 10) m%%;sY;h 100.5 gjeä = 62.75isg 63.75 (,l=Kq 10)

5(b) : ,l=Kq 40




mia jk m%Yakh f;dardf.k we;s ms˙i 71%ls' fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha53%lao ,l=Kq 38 - 75m%dka;rfha35%lao ,l=Kq76 - 113m%dka;rfha11%lao ,l=Kq114 - 150m%dka;rfha 1%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 53%la u ,ndf.kwe;af;a37fydaBgjvdwvqfjks'


-19-

00 - 37 53% 38 - 75

35%

76 - 113 11%

114 - 150 1%

fuu m%Yakh wkqfldgia 8lska iukaú; jkw;rbkawkqfldgiaish,af,aumyiq;dj35%gjvdwvqh' fuum%Yakfha ≥Ialruwkqfldgi(b)(ii)h'myiquwkqfldgi(a)(ii) jkw;rtysmyiq;dj35%ls'fldgiaish,af,aumyiq;dj35%fydaBgwvqùufuum%Yakh;=<olakg,efnkúfYaI;;a;ajhls'


myiq;dj

-26-

33% 35%

27% 28% 23% 25%

19% 18%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii) (iv) (v) (vi) (i) (ii)

(a) (b)


B fldgfiawe;s.◊;hm%%Yakfoflka(5) jkm%%Yakhjeäms˙ilaf;dardf.kwe;'fuum%%Yakfhaiuia;f;dard.ekSu71%lajqjo"tysmyiq;dj25%ls'fuyswkqfldgiaish,af,aumyiq;dj35%

fydaBgwvqùwe;'bf.kqïb.ekaùïl%%shdj,sfha°wfmaCIlhkagud;h"uOHia:hyduOHkHh

hkrdYSka.Kkhlrkwdldrhms<sn|juQQ,slffioaOdka;sl±kquydiólrKj,gwdfoaY

lrùfïydiqΩls¯fïwNHdij,ksr;lrùfukaidOkuÜguby<kexúhyel'oYuwdY%%s;iqΩ

ls¯ïj,°wfmaCIlhkaolajkwvqidOkuÜguwNHdi,nd°uu.skau`.ye˙hyel'

(b)(i) yd (ii) wkqfldgia wvqumyiq;djla olajd we;' fuys°imhk,o o;a;" wjYH;dj wkqjj.=jlg ilials¯u" thska m%%ia;dr.; ls¯u ms<sn| wNHdilrKh u.ska fuys° we;sjk .egÆ

u`.yrjd.ekSugfhdackdflfr®'ixLHdkúoHd;aulks.ukhkajevf,dalfha°Ndú;lrk

wdldrhms<sn|jbf.kqï-b.ekaùïl%%shdj,sfha°isiqkagwjOdrKhlrùuks;rwNHdifha

fh°u"fujeks.egΩu`.yrjd.ekSugWmldrfõ'


6 m%Yakh


6. (a) (i) 60° (,l=Kq 05)

(ii) AOB ;%%sfldaKfhajr®.M,h = 12 × 3.5 × 3.5 × sin 60°

= 12 × 3.5 × 3.5 ×

√32 (,l=Kq 03)

= 5.3 cm2 (ms<s;=r + tallh = ,l=Kq 02)

∴ Ivi%%fhajr®.M,h = 5.3 × 6 (,l=Kq 03)

= 31.8 cm2 (ms<s;=r + tallh = ,l=Kq 02)

wr®OjD;a;6 ysjr®.M,h = jD;a;3 ysjr®.M,h = 3 × 227 × (3.5

2 )2 (,l=Kq 03)

= 28.9 cm2 (ms<s;=r + tallh = ,l=Kq 02)

,dxPkfhaiïmQQr®Kjr®.M,h = 28.9 + 31.8 (,l=Kq 05)

= 60.7 cm2 (ms<s;=r + tallh = ,l=Kq 04 + 01)

6(a) : ,l=Kq 30

(b) tan 30° = CD20 + BD tan 45° = CD

BD (05 × 2 = ,l=Kq 02)

tan 30° = CD20 + CD

tan 45°

20 tan 30° + tan 30°tan 45°

CD = CD (,l=Kq 05)

CD = 20 tan 30°

1 - tan 30°tan 45°

=

20/√3

1 - (1/√3) (,l=Kq 05)

= 27.4 m (ms<s;=r + tallh = ,l=Kq 04 + 01)

6(b) : ,l=Kq 25

(c) (ii) OAD ;%%sfldaKfhafCIa;%%M,h = 12 × 10 × 18 × sin 30° = 12 × 18 × 10 × 12 (,l=Kq 03)

= 45 m2 (,l=Kq 02)

ADB ;%%sfldaKfhafCIa;%%M,h = 12 × 18 × 24 × sin 45° = 12 × 18 × 24 × 1

√2 (,l=Kq 03)

= 153.2 m2 (,l=Kq 02)

DBC ;%%sfldaKfhafCIa;%%M,h = 12 × 16 × 24 × sin 60° = 12 × 16 × 24 ×

√32 (,l=Kq 03)

= 166.1 m2 (,l=Kq 02)


bvfïfCIa;%%M,h = 45 + 153.2 + 166.1 (,l=Kq 05)

= 364.3 m2 (ms<s;=r + tallh = ,l=Kq 04 + 01)

6(c) : ,l=Kq 25

(d) √162+42+32 (,l=Kq 10)

= 16.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

úl,am ms<s;=r (

√162+42 = √ 256 + 16 = 16.49 cm (,l=Kq 05)

√ 16.492 + 32 = √ 271.9 + 9 (,l=Kq 05)

= 16.8 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

6(d) : ,l=Kq 15

(e) A ysm˙udj = p r2 h = p × 902 × 150 (,l=Kq 03)

= 1215000 p cm3 (,l=Kq 02)

C ysm˙udj = p r2 h = p × 602 × 5 (,l=Kq 03)

= 18000 p cm3 (,l=Kq 02)

B ysm˙udj = 13 × p × 902 × (25 + h) - 13 × p × 602 × h (,l=Kq 10)

θ

θ60 cm25 cm

h

90 cm

tan θ° = h60 = h + 25

90 (,l=Kq 10)

h = 50 cm (,l=Kq 05)

B ysm˙udj = 142500 p cm3 (,l=Kq 05)

uqΩm˙udj = 1215000 p + 18000 p + 142500 p (,l=Kq 10)

= 1375500 p cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)

6(e) : ,l=Kq 55




yhjkm%Yakhf;dardf.kwe;sms˙i65%ls'm%YakhgysñuqΩ,l=Kqm%udKh150ls'bka,l=Kq 00 - 37m%dka;rfha66%lao ,l=Kq 38 - 75m%dka;rfha30%lao ,l=Kq76 - 113m%dka;rfha4%lao ,l=Kq114 - 150m%dka;rfha0%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114gjvdlsisfjl=,ndfkdue;sw;r" wh≥ïlrejkaf.ka 66%la ,ndf.k we;af;a,l=Kq37 fydaBgjvdwvqfjks'


-19-

00 - 37 66%

38 - 75 30%

76 - 113 4%

114 - 150 0%

fuu m%Yakh wkqfldgia 6la we;s w;r" bkawkqfldgia 5lu myiq;dj 40%g jvd wvq h'fuum%Yakfhawmyiquwkqfldgi(d) h'myiquwkqfldgi(a)(i) jkw;rtysmyiq;dj86%ls'


myiq;dj

-26-

86%

32%

23%

32%

12% 16%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii)

(a) (b) (c) (d) (e)


yhjkm%%Yakh f;dard .ekSfï m%%;sY;h 65%ls'kuq;a tu m%%Yakfha myiq;dj 24%la ù we;'

wh≥ïlrejkaf.ka96%lm%%udKhlau,l=Kq,ndwe;af;a75gjvdwvqfjks'

wfmaCIlhskaf.a Wmfoia ms<sme°fï ≥r®j,;djla fuys° wkdjrKh úh' §.Kkh ls¯fuka

,efnkms<s;=rem<uqoYuia:dkhg,ndfokak¶hkWmfoiafldgifkdi,ldye¯ufya;=fjka

.Kkhkaf.awjidkms<s;=rg,`.dùugfkdyelsùuksid.Kkfhawjidkms<s;=rgwod<,l=Kq

,nd.ekSugwiu;aùwe;'

bf.kqï-b.ekaùïl%%shdj,sfhys°isiqkaf.aúYaf,aIKyelshdju;=lr.;hq;=h'(e) fldgfia"B" fla;= „kaklhla f,i y∫kdf.kke;' tfiau >k jia;=j, jr®.M, m˙ud ms<sn| iQQ;%%ksjer†jNdú;dlrfkd;sîuksidms<s;=riïmQQr®Kls¯ugfkdyelsùwe;snjW;a;rm;%%m¯CId

ls¯fï°olakg,enq◊'ixhqla;>kjia;=j,m˙udjydjr®.M,hwdY%%s;jjeämqrwNHdilrKfha

fh°uu.skawfmaCIlhkaf.aidOkuÜguby<kxjd.ekSugfhdackdflfr®'


C fldgi - rpkd7 m%Yakh

7. (a) (i) „ùka ;=< wdrïNl øjH f,i c,h" CO2, N2/N, P iy ysre t<shjeksøjHWmfhda.S

´kEu folla

lrf.kksIamdokh lrk ixfhda. (05 × 3 = ,l=Kq 15)

(ii) m%%d:ñl m˙jD;a;c oaú;Sl m˙jD;a;c

„úfhl=f.ameje;aug$jr®Okhg$úlikhg$m%%ckkhgRcqjuiïnkaOfõ'

„úfhl=f.ameje;aug$jr®Okhg$úlikhg$m%%ckkhgRcqjuiïnkaOfkdfõ'

„ú;ld,hmqrduksIamdokhfõ' m˙k;$úfYaIwjêfha°ksIamdokhfõ'

úYd,m%%udKj,skaksIamdokhfõ' l=vdm%%udKj,skaksIamdokhfõ'

iEu„úfhla;=<uksIamdokhfõ' iuyr„ùka;=<muKlaksIamdokhfõ'

RcqjuuQQ,slix>glj,skaksIamdokhfõ' m%%d:ñlm˙jD;a;cu.ska$m%%d:ñlm˙jD;a;cúlsrKhu.skaksIamdokhfõ'

(fomiu i|yd 10 × 2 = ,l=Kq 20)


(iii) lDIsúlr®Ilf,i (,l=Kq 05)

(iv) c,hbj;als¯u$isfg%%dfk,a,df;,afjkalr.ekSu' (,l=Kq 10)

(v) tysms˙is≥njksr®Khls¯ug$mj;skix>glixLHdjfidhd.ekSug (,l=Kq 10)

(vi) by<ms˙is≥nj$by<M,odj$wvqksIamdokms˙jeh$idudkHWIaK;ajfha°iy

mSvkfha°is≥l<yelsh'$md˙i˙ln,mEuwjufõ' (´kEu follg 10 × 2 = ,l=Kq 20)

7(a) : ,l=Kq 80

(b) (i) CO2, H2O, N2O (m<uq ms<s;=re folg muKla 05 × 2 = ,l=Kq 10)

(ii) NO2 / N2O5 / N2O4 / SO2 / SO3 (m<uq ms<s;=re folg muKla 05 × 2 = ,l=Kq 10)

(iii) úIumrudKqlfydamrudKq;=klafydaBgjvdwe;s jdhqks;HoaúO%%ej>QQr®Khlaiys; N+ñwjia:dfõO%%eùhfkdjqk;awKqlïmkhjkúgoaúO%%ejhlawe;sjdhQQkafõ' (05 × 3 = ,l=Kq 15)

(iv) wuqøjHNdú;hwvqls¯u"m%%;spl%%SlrKh"NdKavm%%;sksr®udKh (05 × 3 = ,l=Kq 15)

(v) >kwmøjHNdú;fhka„jjdhqjksIamdokh^m%%;spl%%SlrKh& Yla;shksmoùug„jjdhqjfhdod.ekSu^wuqøjHNdú;hwvqls¯u& (05 × 4 = ,l=Kq 20)

7(b) : ,l=Kq 70




y;a jk m%Yakh jeä u ms˙ila tkï 75%la muKf;dardf.kwe;'fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha59%lao ,l=Kq 38 - 75m%dka;rfha33%lao ,l=Kq76 - 113m%dka;rfha7%lao ,l=Kq114 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 59%la u ,ndf.kwe;af;a37fydaBgjvdwvqfjks'


-19-

00 - 37 59%

38 - 75 33%

76 - 113 7%

114 - 150 1%

7 jkm%Yakhwkqfldgia11lawe;sw;r"bkawkqfldgia2lmyiq;dj40%gjvdjeäh'fuum%Yakfhawmyiquwkqfldgiùwe;af;a(b)(v) h' myiq u wkqfldgi ù we;af;a(b)(i) jk w;r tys myiq;dj 68%ls' fuyswkqfldgiayhlumyiq;dj30%gwvqùulafmkakqïlrhs'


-26-

17%

27%

19%

28% 32%

35%

68%

31%

5%

40%

3%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii) (iv) (v) (vi) (i) (ii) (iii) (iv) (v)

(a) (b)


myiq;dj

ridhkúoHdm%%Yakfoflka7jkm%%Yakhf;dardf.kwe;sms˙i75%lajeksjeäm%%;sY;hls'kuq;a

fuysmyiq;djh27%ls'fuum%%Yakhiliaùwe;af;aiajNdjksIamdokiy;dCI◊l†hqKqjyd

m˙irhhktallweiqfrkatysisoaOdka;mokïlr.ksñks'

fuys(a) fldgfiysmyiq;djhwvqufldgiajkafka(a)(i) yd(a)(iii) h'iajNdjksIamdokixl,amhwdY%%s;ksjer†wr®:±laùï"isoaOdka;fldgia"ksiaidrKmshjrksjer†wkqms<sfj,skau;l;nd

.ekSfïwjYH;djfuhskameye†,sfõ'

(b)(iii) yd(b)(v) hkfldgiaj,myiq;djh5%yd3% fõ'fuufldgioiïmqr®Kfhkauu;lh

Wr.d n,k fldgils' fuys° wfOdarla; lsrK wjfYdaIKhlrk jdhQQkaf.a ,CIK±kf.k

isàums<s;=re °ui|yd m%%udKj;a h' tfy;a fuu,CIKhu;lfha ;nd.ekSug wfmdfydi;a

ùu"taflfrysjeäwjOdkhlafhduqfkdls¯uksidmyiq;djhwvqùwe;'bf.kqï-b.ekaùï

l%%shdj,sfhys ° isiqkaf.a wdjr®ck Yla;sh iy jdÑl iy ,sÅ; m%%ldYk Yla;sh jr®Okh jk

wdldrfhal%%shdms<sfj<lawkq.ukhls¯ugfhdackdflfr®'


8 m%Yakh

8. (a) (i) n%%hskaødjKh"f;,a"Ca5(PO4)3X^wemghsÜ& (m<uq ms<s;=re ;=k i|yd 05 × 3 = ,l=Kq 15)

(ii) úYd,jYfhka,nd.;yelsùu"by<ixY=oaO;dj"myiqfjka<`.dúhyelsùu' (´kEu follg 05 × 2 = ,l=Kq 10)

(iii) c,fhaødjH;djb;dwjuùuksid (,l=Kq 10)

(iv) wemghsÜL◊chwjYHm%%udKhgl=vqls¯u (,l=Kq 05) wï,hfhdodf.kHCl c,wødjHle,aishïfmdiafµaÜ(Ca3(PO4)2)" c,ødjHle,aishïvhsyhsv%%ckafmdiafµaÜ(Ca(H2 PO4)2)njgm;als¯u' (05 × 2 = ,l=Kq 10) fyda

2Ca5(PO4)3X + 14HCl 3Ca(H2PO4)2 + 7CaCl2 + 2HX c,dlr®Ylnjwvqls¯ugwefudakshï,jKtlals¯u (05 × 2 = ,l=Kq 10)


(v) c,uQQ,dY%%j,fmdaIlwêlùuu.skawe,a.Sjr®Okhùu'tu.skac,c„ùkag wys;lrm˙irhlawe;sùu' (05 × 3 = ,l=Kq 15) fmdfydrj,we;s.jKnerf,day$N+.;c,hgc,uQQ,dy%%j,tl;=ùu$ ksidc,fhalGßk;ajhby<hdu$c,hNdú;hgfkdiq≥iqùu (05 × 3 = ,l=Kq 15)

8(a) : ,l=Kq 90

(b) (i) whkyqjudreji|yd H2 iyCl2 w;rm%%;sl%%shdjje<elaùui|yd fldaIh;=<HCl iE°uje<elaùui|yd (´kEu fya;=jlg ,l=Kq 10)

(ii) CId¯h;dj(NaOH) wêl,jK;dj(NaCl) (05 × 2 = ,l=Kq 10)

(iii) jdis ( ,dNodhlùu$uQQ,slm%%d.aOkhwvqùu$,nd.ekSfïmyiqj (´kEu fya;=jlg ,l=Kq 05)

wjdis ( c,hwdï,slùu"wm%%ikakiqj|la$Cl2 iqj|la±kSu" w;=reM,c,hgtl;=ùu^c,„jdKqyrKwmøjH& (´kEu fya;=jlg ,l=Kq 05)

8(b) : ,l=Kq 30

(c) (i) CId,lj,O%%eùhi,afµaÜldKavhlawvx.=ùufyda O%%eùhwhkslldKavwvx.=ùu (,l=Kq 10)

(ii) jdis ( lGßkc,hyuqfõfYdaOll%%shdjbgqls¯ufydaby<fYdaOlyelshdj (,l=Kq 10)

wjdis ( ffcjydhkhg,lafkdùuksidm˙ir¥Ilhlaùu (,l=Kq 10)

8(c) : ,l=Kq 30




wgjkm%Yakhf;dardf.kwe;sms˙i57%ls'kuq;aiuia;myiq;dj23%ls'fuum%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha61%lao ,l=Kq 38 - 75m%dka;rfha31%lao ,l=Kq76 - 113m%dka;rfha7%lao ,l=Kq1 14 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i1%la jk w;r" wh≥ïlrejkaf.ka 61%la u ,ndf.kwe;af;a,l=Kq37 fydaBgjvdwvqfjks'


-19-

00 - 37 61%

38 - 75 31%

76 - 113 7%

114 - 150 1%

fuum%Yakfhawkqfldgia10lawe;sw;r"myiq;djjeäu wkqfldgi (a)(iii) jk w;rtysmyiq;dj36%ls'myiq;djwvquwkqfldgi(a)(iv), (c)(i) jkw;rtajdfhamyiq;dj 9%ls' fuys fldgia ish,a,u40%lgwvqmyiq;djlafmkakqïlrwe;'


-26-

29% 33% 36%

9%

30% 27%

20% 19%

9%

16%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii) (iv) (v) (i) (ii) (iii) (i) (ii)

(a) (b) (c)


myiq;dj

lr®udka;hlai|ydwjYHiajNdúlwuqøjHms<sn|±kqu"iajNdúlm%%Njms<sn|±kquiyhï

lr®udka;hlfhfokakd jQQ ridhksl" fN!;sluQQ,Or®ums<sn|±kquWr.dnef,k.egÆjls'

´kEulr®udka;hlgwod<by;lreKqms<sn|wjOdkhfhduqls¯fukatawdY%%s;jiliajk

.egÆjlgms<s;=ref.dvk.d.ekSugmyiqjkqwe;'

ksoiqk(wemghsÜj,ska fmdfydr ksIamdokh i,luq' fuys wuqøjH jkafka wemghsÜ" c,h

fydaidkaøH2SO4/HNO3/HCl h'kuq;afuysiajNdúlwuqøjHjkafkawemghsÜh'th,nd.kakd;ekfmd<jh'thm%%Njhhs'wï,iajNdúlwuqøjHfkdfõ'fuys°fhfok

ridhksl"fN!;sluQQ,Or®ujkafka"

1. wemghsÜl=vqls¯u 2. ødjH;dj(Solubility)

fïwdldrhgwfmaCIlhskatlatlalr®udka;hlgwod<wuqøjH"m%%Nj"ridhksl"fN!;sll%%shdj,s"

m%%fhdackiyw;=reM,ms<sn|±kquiïmsKavkhlr.ekSugfCIa;%%pd˙ldjeksm%%dfhda.sll%%u

Wmfhda.Slr.ekSufhdackdflfr®'


D fldgi - rpkd9 m%Yakh

9. (a) i;Hm%%idrK;dj=oDYHm%%idrK;dj+ n∫fkam%%idrK;dj (,l=Kq 10)

9(a) : ,l=Kq 10

(b) (i) i;Hm%%idrKh" VR = V γ R Δθ

= 120 cm3 × 2 × 10-4°C-1 × (60°C - 30°C) (,l=Kq 05)

= 0.72 cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)

γ A = γ R - 3a (,l=Kq 05)

= 2 × 10-4°C-1 - 3 × 2 × 10-5°C-1 (,l=Kq 03)

= 1.4 × 10-4°C-1 (,l=Kq 02)

oDYHm%%idrKh" VA = V γ A Δθ

= 120 cm3 × 1.4 × 10-4°C-1 × (60°C - 30°C) (,l=Kq 05)

= 0.5 cm3 (ms<s;=r + tallh = ,l=Kq 04 + 01)


(ii) 60°C °n∫fkam;=f,ajr®.M,h = A0 [1 + b Δθ] fydaA0 [1 + 2a Δθ] (,l=Kq 02)

= 12 (1 + 2 × 2 × 10-5°C-1 × 30°C) (,l=Kq 03)

= 12.01 cm2 (,l=Kq 03)

øjfhaWi = 60°C °øjm˙udj60°C °n∫fkam;=f,ajr®.M,h

(,l=Kq 02)

= 120 + 0.72

12.01 = 120.7212.01 (,l=Kq 05)

= 10.05 cm (ms<s;=r + tallh = ,l=Kq 04 + 01)

(iii) 30°C °øjfhaialkaOh = 120 × 10-6 × 1200 (,l=Kq 05) = 14.4 × 10-2 kg (,l=Kq 05)

wjYH;dmm%%udKh = n∫kWrd.kakd;dmh+ øjhWrd.kakd;dmh

fyda Q = CΔθ + mcΔθ (,l=Kq 10) = 400 J°C-1 (60°C - 30°C) + 14.4 × 10-2 kg × 4000 J kg °C-1 (60°C - 30°C) (,l=Kq 05 + 05)

= 29280 J fyda 29.28 kJ (ms<s;=r + tallh = ,l=Kq 04 + 01)

(iv) P × t = Q (,l=Kq 02) 103 × t = 29280 (,l=Kq 08) t = 29.28 s (ms<s;=r + tallh = ,l=Kq 04 + 01)

(v) R = V 2P

(,l=Kq 02)

= 2302

1000 (,l=Kq 03) = 52.9 Ω (ms<s;=r + tallh = ,l=Kq 04 + 01)

(vi) kjld,ht' kï"

V 2P

× t' = Q (,l=Kq 02)

2002

52.9 × t' = 29280 (,l=Kq 08)

t' = 38.7 s (ms<s;=r + tallh = ,l=Kq 04 + 01)

(vii) P × t = m × L (,l=Kq 02) 1000 × t = 14.4 × 10-2 kg × 2000 × 1000 J kg-1 (,l=Kq 04 + 04) t = 288 s = 4.8 min (ms<s;=r + tallh = ,l=Kq 04 + 01)

9(b) : ,l=Kq 140




kjjkm%Yakhf;dardf.kwe;sms˙i26%ls'm%Yakhgysñ,l=Kqm%udKh150ls'bka,l=Kq 0 - 37m%dka;rfha86%lao ,l=Kq 38 - 75m%dka;rfha9%lao ,l=Kq76 - 113m%dka;rfha4%lao ,l=Kq114 - 150m%dka;rfha1%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114 fydaBgjvd,ndf.kwe;sms˙i 1%la jk w;r" wh≥ïlrejkaf.ka 86%la u,ndf.kwe;af;a,l=Kq37 fydaBgjvdwvqfjks'


-19-

00 - 37 86%

38 - 75 9%

76 - 113 4%

114 - 150 1%

fuum%Yakhwkqfldgia8lskaiukaú;jkw;rtlawkqfldgilgmuKla30%blaujd,l=Kq ,nd we;' fuu m%Yakfha wmyiq ufldgi(b)(vi) fõ'myiquwkqfldgi(a) jk w;rtysmyiq;dj32%ls'


-26-

32%

13%

6%

16%

5%

15%

0% 1% 0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii) (iv) (v) (vi) (vii)

(a) (b)


myiq;dj

fuys(a) fldgigmuKlamyiq;dj32%lajkw;rbkaúuid;snqfKai;Hm%%idrK;djydoDYHm%%idrK;djw;riïnkaOhhs'

(b) yswkqfldgiaish,a,u20%gjvdwvqmyiq;djlaolajhs' (b)(iv), (b)(v), (b)(vi) yd (b)(vii) fldgiaj,°talllsysmhlisoaOdka;Ndú;fhka.egΩúi£ugwjia:dji,idwe;'fuys°uQQ,sl±kquyduQQ,Or®ums<sn|wvqwjfndaOhlemSfmks◊'

bf.kqïb.ekaùïl%%shdj,sfhafhfokúgúIhlreKqidlÉPdls¯ufukauúIhfCIa;%%hlm%%Yakielishyelswdldrms<sn|jidlÉPdls¯um%%Yakj,gms<s;=reiemhSfïmyiq;djjeälr.ekSugWmfhda.Slr.;yelsh'

Wod( * uQQ,Or®u" m%%fïhh"kshujeks w;HjYHfhkauu;l;ndf.kms<s;=re,súhhq;=fldgia

* fïjdu.skaf.dvke.+iólrK"iQQ;%%ksjer†jNdú;hydwdfoaYls¯u * ksjer†.◊;iqΩls¯ïydwjidkms<s;=reúoHd;auljoYuia:dkj,giemhSuyd

tallksjer†j±laùu

fuulreKqms<sn|bf.kqïb.ekaùïl%%shdj,sfha°wksjdr®hfhkauwjOdkhfhduqúhhq;=h'Bgwu;rjmiq.shúNd..egÆj,gms<s;=reiemhSuu.skaom%%ùK;djjeälr.;yel'iïu;iQQ;%%Ndú;fhka.egÆúi£ugksmqK;djhla,nd.;hq;=h'


10 m%Yakh

10. (a) jia;=jlamQQr®KjYfhkafydawr®OjYfhka^iïmsOkhl<fkdyels"taldldr"ksYap,& ;r,hl.s,ajdwe;súg"tau;we;sjkWvql=ref;rmqu"tau.skaúia:dmkhlrwe;s ;r,m%%udKfhanrgiudkfõ' (,l=Kq 20)

10(a) : ,l=Kq 20

(b) (i) Vρg = (M + m) g (,l=Kq 02)

5 × 2 × 1020 × g = (2560 + m) g (,l=Kq 08)

m = 7640 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)

(ii) 23

m%%udKhla.s,Swe;súgialkaOh = (7640 + 2560) kg = 10200 kg (,l=Kq 05)

hd;%%djfkd.sf,km˙†kejgord.;yelsWm˙uialkaOh = 10200 × 32

(,l=Kq 08)

= 15300 kg (,l=Kq 05)

wu;rialkaOh15300 - 10200 (,l=Kq 05) = 5100 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)

úl,am l%%uh 1 ( 5 × 3 × 1020 × g = (10200 + m) g (iólrKfha jï mi = ,l=Kq 05) (iólrKfha ol=Kq mi = ,l=Kq 05) (iudk ls¯ug = ,l=Kq 05)

wu;rialkaOh"m = 5100 kg (ms<s;=r + tallh = ,l=Kq 04 + 01)


úl,am l%%uh 2 (

(M + m1) g = 2Aρg (,l=Kq 05) (M + m2) g = 3Aρg (,l=Kq 05) (m2 - m1) = Aρ = 5 × 1020 (,l=Kq 05) = 5100 kg (,l=Kq 05)

(iii) kej.s,SugwjYHwjuialkaOh = 5100 kg f;,aj,>k;ajh = 1000 × 0.75 = 750 kg m-3 (,l=Kq 05)

wjYHm˙udj = 5100750

= 6.8 m3 (,l=Kq 05) 0.1 m3 ms¯ugñks;a;=jla.;fõ' 6.8 m3 ms¯ug.;jkld,h= 1

0.1 × 6.8 (,l=Kq 05)

= ñks;a;=68 = 4080 s (ms<s;=r + tallh = ,l=Kq 04 + 01)

(iv) hd;%%dfõialkaOh = 2560 kg hd;%%dfõ>k;ajh = 2560 kg m-3 ∴ hd;%%dfõm˙udj = 1 m3 (,l=Kq 05)

fh†hhq;=wjun,h = mg - V'ρg (,l=Kq 05) = 2560 × 10 - 1 × 1020 × 10 (,l=Kq 05) = 15400 N (ms<s;=r + tallh = ,l=Kq 04 + 01)

(v) fh†hhq;=wjuldr®hm%%udKh = 15400 × 20 (,l=Kq 05)

= 308 kJ (ms<s;=r + tallh = ,l=Kq 04 + 01)

(vi) tiùfï°CIu;dj = m%%;sodkYla;shm%%OdkYla;sh

× 100 (,l=Kq 02)

= 308 kJ160 s

= 1.92 - 1.93 kW (ms<s;=r + tallh = ,l=Kq 04 + 01)

CIu;dj = 1.93 kW

5 kW × 100 (,l=Kq 05)

= 38.4 - 38.6% (ms<s;=r + tallh = ,l=Kq 04 + 01)

(vii) kefõ.=re;ajflakaøh^G&my<g.ekSui|ydhd;%%djm;=f<aNdrhla/|ùu fyda mSvkh$Wvql=ref;rmqu;=<s;ls¯ui|ydkejm;=f<ajr®.M,hjeälr.ekSu ^fomigwdOdrlfollaiïnkaOls¯fuka&

^úoHd;aul fya;=j 15"l%%shdj 10 = ,l=Kq 25)

10(b) : ,l=Kq 130




fN!;sl úoHd rpkd m%Yak w;˙ka wvq u m%;sYlhlams<s;=re imhd we;s m%Yakhhs' fuu m%Yakhg ms<s;=reimhd we;af;a 41%ls' m%Yakhg ysñ ,l=Kq m%udKh 150ls'bka,l=Kq 0 - 37m%dka;rfha90%lao ,l=Kq 38 - 75m%dka;rfha9%lao ,l=Kq76 - 113m%dka;rfha1%lao ,l=Kq114 - 150m%dka;rfha0%lao,l=Kq,ndf.kwe;'

fuum%Yakhg,l=Kq114gjvdlsisfjl=,ndfkdue;sw;r" wh≥ïlrejkaf.ka 90%la u ,ndf.k we;af;a,l=Kq37 fydaBgjvdwvqfjks'


-19-

00 - 37 90%

38 - 75 9%

76 - 113 1% 114 - 150

0%

fuum%Yakfhyswkqfldgia8lawe;sw;r"bkawkqfldgiaish,af,aumyiq;dj30%gjvd wvqh'myiquwkqfldgi(a)ùwe;sw;rtysmyiq;dj28%lafõ'wmyiquwkqfldgi(b)(iv) fõ'tysmyiq;dj4%ls'


myiq;dj

-26-

28%

7%

16% 13%

4%

15%

7%

16%

0

10

20

30

40

50

60

70

80

90

100

(i) (ii) (iii) (iv) (v) (vi) (vii)

(a) (b)


fuhwdlsñãiaf.auQQ,Or®uhwdY%%s;.egÆjlajkw;rwfmaCIhkaf.ka41%lam%%Yakhf;dardf.k

we;'m%%Yakfhamyiq;djùwe;af;a14%lmuKwvqm%%;sY;hls'

(b) wkqfldgi;=<skaRcqjuuekwe;af;abmsÆu">k;ajh"ldr®hh"ldr®hCIu;djwd°uQQ,Or®uj,g

wod< uQQ,sllreKq fõ' .egÆjg wod< o;a; igykalr" .Kkhgjvd;a u iq≥iq iólrKh

f;dardf.kthskafkdokakdmohWla;lr°we;so;a;talliys;jwdfoaYlriqΩl<úg"

ms<s;=rtalliys;j,efí'fuh.egÆúi£fïúoHd;aull%%uhhs'

by; úoHd;aul l%%uh m%%.=K ls¯u fujeks wdldrfha .egÆj, myiq;dj by<kxjd .ekSug

Wmld¯fõ'


2.2.4 ˚˚ m%Yak m;%hg ms<s;=re iemhSu ms<sn| iuia; ks¯CIK" ks.uk yd fhdackd (m

yi

q;dj

w'fmd'i'^W'fm<& úNd.h - 201667 - ;dCIKfõoh i|yd úoHdj - ˚˚ m;%h

úIh fCIa;% wkqj m%Yak i|yd myiq;dj

fN!;slúoHdj

.◊;h

ridhk úoHdj

„júoHdj

-26-

35%

17%

25%

10%

25% 24% 27% 23%

13% 14%

0

10

20

30

40

50

60

70

80

90

100

(a), (b), (c), (d)

(a), (b) (a), (b) (a), (b), (c), (d), (e), (f),

(g), (h)

(a), (b) (a), (b), (c), (d), (e)

(a), (b) (a), (b) (a), (b) (a), (b)

1 2 3 4 5 6 7 8 9 10

1

Faci

lity

Inde

x

Parts and Sub Parts

G.C.E.(A.L.) Examination - 2016 Chemistry - Paper II (Part B)

Facility Indices of Parts and Sub Parts

-26-

35%

17%

25%

10%

25% 24% 27% 23%

13% 14%

0

10

20

30

40

50

60

70

80

90

100

(a), (b), (c), (d)

(a), (b) (a), (b) (a), (b), (c), (d), (e), (f),

(g), (h)

(a), (b) (a), (b), (c), (d), (e)

(a), (b) (a), (b) (a), (b) (a), (b)

1 2 3 4 5 6 7 8 9 10

1

Faci

lity

Inde

x

Parts and Sub Parts



-26-

35%

17%

25%

10%

25% 24% 27% 23%

13% 14%

0

10

20

30

40

50

60

70

80

90

100

(a), (b), (c), (d)

(a), (b) (a), (b) (a), (b), (c), (d), (e), (f),

(g), (h)

(a), (b) (a), (b), (c), (d), (e)

(a), (b) (a), (b) (a), (b) (a), (b)

1 2 3 4 5 6 7 8 9 10

1

Faci

lity

Inde

x

Parts and Sub Parts



-26-

35%

17%

25%

10%

25% 24% 27% 23%

13% 14%

0

10

20

30

40

50

60

70

80

90

100

(a), (b), (c), (d)

(a), (b) (a), (b) (a), (b), (c), (d), (e), (f),

(g), (h)

(a), (b) (a), (b), (c), (d), (e)

(a), (b) (a), (b) (a), (b) (a), (b)

1 2 3 4 5 6 7 8 9 10

1

Faci

lity

Inde

x

Parts and Sub Parts



-26-

35%

17%

25%

10%

25% 24% 27% 23%

13% 14%

0

10

20

30

40

50

60

70

80

90

100

(a), (b), (c), (d)

(a), (b) (a), (b) (a), (b), (c), (d), (e), (f),

(g), (h)

(a), (b) (a), (b), (c), (d), (e)

(a), (b) (a), (b) (a), (b) (a), (b)

1 2 3 4 5 6 7 8 9 10

1 Fa

cilit

y In

dex

Parts and Sub Parts



m%Yak wxl

II m%Yakm;%%fhaiEum%%Yakhlaumyiq;d10% ;A35%;Aw;rw.hlaf.kwe;'taw;˙ka30% gjeä

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fldgfiamodr®:fhahdka;%%sl.=Ktallhhgf;awe;sjHQQy.;rpkdm%%Yakhhs'tysmyiq;dj 10% ls'rpkduhm%%Yakfldgfiysjeämyiq;djwe;af;aridhkúoHdfldgfiysiajNdúlksIamdokhiy

;dCI◊l†hqKqjydm˙irhhktallhgf;awe;s7jkm%%Yakhghs'tysmyiq;dj27% ls'

w'fmd'i'^W'fm<&úNd.fha;dCIKfõohi|ydúoHdjII m%Yakm;%hie,l+úgtataúIhfCIa;%i|ydmyiq;djmy;m˙†fõ'

„júoHdj^m%%Yak.Kk01&m%%Yakhlmyiq;djfhaidudkHh 34.7%

ridhkúoHdj^m%%Yak.Kk 03&m%%Yakhlmyiq;djfhaidudkHh 22.0%

fN!;slúoHdj^m%%Yak.Kk 04&m%%Yakhlmyiq;djfhaidudkHh 15.1%

.◊;h^m%%Yak.Kk 02&m%%Yakhlmyiq;djfhaidudkHh 24.9%

II m%Yakm;%fhatlatlatallhhgf;aiuia;myiq;djie,l+úg„júoHdjm%%Yakhlmyiq;djfha

idudkHjk34.7%lajkjeäumyiq;djolajkúIhfCIa;%%hhs'wjumyiq;djjk15.1%lawe;af;afN!;slúoHdúIhfCIa;%%fham%%Yakhlmyiq;djfhaidudkHhgh'


˚˚˚ fldgi

3'0 ms<s;=re iemhSfï ° ie,ls,su;a úh hq;= lreKq yd fhdackd (

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fmd≥ Wmfoi a (

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fldmuKld,hla,efío"fldmuK,l=Kq,efío"hklreKqms<sn|jie,ls,su;aúhhq;=w;rm%Yakfyd¢kalshjdksrjq,awjfndaOhlawe;slrf.km%Yakf;dard.;hq;=h'

* ˚m;%fham%Yakj,gms<s;=reiemhSfï°jvd;aksjer†tlams<s;=rlaf;dard.;hq;=h';jomeye†,sjtlal;sr,l=KlamuKlafh†hhq;=h'

* ˚˚m;%fham%Yakj,gms<s;=reiemhSfï°ieum%Odkm%YakhlauwÆ;amsgqjlskawdrïNl<hq;=h'

* ksjer†ydmeye†,sw;awl=rej,skams<s;=re,súhhq;=h'

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* m%Yakwxlydwkqfldgiaksjer†j,súhhq;=h'

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* m%Yakhwidwe;swdldrhwkqj;r®ldkql+,jydúYaf,aIKd;auljlreKqb†˙m;al<hq;=h'

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* °we;sWmfoiatawdldrfhkaums<sme°fukawod<ld,h;=<ms<s;=reiemhSugmyiqh'


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w'fmd'i' · 2020. 4. 29. · úohd" ffcj úohd" jd c yd l,d hk úih odrd...

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