career point jee... · 2017. 3. 28. · fcunq l=kksr o dks bl izdkj flfkr fd;k x;k gs fd os1– os2...

CAREER POINT

MOCK TEST PAPER for IIT JEE (Advanced) PAPER-1

Physics, Chemistry & Mathematics

Time : 3 Hours Maximum Marks : 180

IMPORTANT INSTRUCTIONS

A. lkekU; :

1. Ñi;k izR;sd iz'u ds fy, fn, x, funsZ'kksa dks lko/kkuhiwoZd if<+;s rFkk lEcfU/kr fo"k;kas esa mÙkj&iqfLrdk ij iz'u

la[;k ds le{k lgh mÙkj fpfUgr dhft,A

2. mRrj ds fy,] OMR vyx ls nh tk jgh gSA

3. ifjoh{kdksa }kjk funsZ'k fn;s tkus ls iwoZ iz'u&i=k iqfLrdk dh lhy dks ugha [kksysaA

B. vadu i)fr :

bl iz'ui=k esa izR;sd fo"k; esa fuEu izdkj ds iz'u gS:‐

[k.M ‐ I

4. cgqfodYih izdkj ds iz'u ftuesa ls ,d ;k ,d ls vf/kd fodYi lgh gSaA izR;sd lgh mÙkj ds fy, 3 vad fn;s tk;saxs o xyr mÙkj

ds fy, dksbZ _.kkRed vadu ugha gSA

[k.M ‐ II

5. x.kukRed izdkj ds iz'u gSaA izR;sd lgh mÙkj ds fy, 3 vad fn, tk;saxs o xyr mÙkj ds fy, dksbZ _.kkRed vadu ugha gSA bl

[k.M esa izR;sd iz'u dk mÙkj bdkbZ ds ,d iw.kk±d esa nhft,A

bl iz'u i=k esa [k.M-III Hkkx ugha gSA

C. OMR dh iwfr :

6. OMR 'khV ds CykWdksa esa viuk uke] vuqØek¡d] cSp] dkslZ rFkk ijh{kk dk dsUnz Hkjsa rFkk xksyksa dks mi;qDr :i ls dkyk djsaA

7. xksyks dks dkyk djus ds fy, dsoy HB isfUly ;k uhys/dkys isu (tsy isu iz;ksx u djsa) dk iz;ksx djsaA

8. di;k xksyks dks Hkjrs le; [k.Mks dks lko/kkuh iwoZd ns[k ysa [vFkkZr [k.M I (,dy p;ukRed iz'u] dFku izdkj ds iz'u]

cgqp;ukRed iz'u), [k.M –II (LrEHk lqesyu izdkj ds iz'u), [k.M-III (iw.kkZd mÙkj izdkj ds iz'u½]

mnkgj.k ds fy, ;fn dsoy 'A' fodYi lgh gS rc, rks xksyksa dks lgh rjhds ls Hkjus dh fof/k gS

A B C D

mnkgj.k ds fy, ;fn dsoy 'A ,oa C' fodYi lgh gS rc, rks xksyksa dks lgh rjhds ls Hkjus dh fof/k gS

A B C D

xksyksa dks fuEu xyr fof/k ls uk Hkjsa

SE

AL

Space for rough work

CAREER POINT, CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744‐5151200 2

PHYSICS[k.M – I [iz-1 ls iz-10]

iz'u 1 ls 10 rd cgqfodYih iz'u gSaA izR;sd iz'u ds pkj fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls ,d ;k vf/kd fodYi lgh gks ldrs gaSA OMR 'khV esa iz'u dh iz'u la[;k ds le{k viuk mÙkj vafdr dhft;sA izR;sd lgh mÙkj ds fy, +3 vad fn;s tk;asxs rFkk xyr mÙkj ds fy, dksbZ _.kkRed vadu ugha gSA Q.1 nks fcUnq vkos'k Q1 o Q2 ,d nwljs ls fuf'pr nwjh

ij fLFkr gS] uhps n'kkZ;k fp=k bu nks vkos'kksa dks tksM+us okyh js[kk ds vuqfn'k foHko ds forj.k dks n'kkZrk gS&

V

Q1 2 3 r

Q2

1

(A) 1 ij E 'kwU; gS (B) 3 ij E 'kwU; gS (C) Q2 o Q1 Øe'k% _.kkRed o /kukRed gS (D) | Q1 | > | Q2 |

Q.2 leckgq f=kHkqt ABC (lrg AB ij iksfy'k fd;k gqvk) ;g µ. viorZukad ds nzo ls f?kjk gqvk gSA ,d izdk'k fdj.k lrg AC ij vkifrr gS n'kkZ;s vuqlkjA fizTe ds

inkFkZ dk viorZukad 23gSA fuEu esa ls lgh dFku

pqfu;s (s). A

B C

θ

(A) θ, ftlds fy;s izdk'k fdj.k vius iFk dks iqu%

vuqlfjr djrh gS] sin–1⎟⎟⎠

⎞⎜⎜⎝

⎛

μ433 gS

(B) θ, ftlds fy;s izdk'k fdj.k vius iFk dks iqu%

vuqlfjr djrh gS] cos–1⎟⎟⎠

⎞⎜⎜⎝

⎛

μ433 gS

(C) θ = 45°, μ = 22

3 , ds fy, izdk'k fdj.k ds fizTe

ls vfUre :i ls fuxZr gksus ij fdj.k dk fopyu 150° gS

(D) θ = 45° o µ = 22

3 ds fy, vfUre :i ls

fizTe ls fuxZr fdj.k dk fopyu 0° gS



Q.3 6Ω

6V

2Ω

2Ω 2H

12Ω

fp=k esa n'kkZ;s ifjiFk esa -

(A) bldk le; fu;rkad41 sec gS

(B) bldk le; fu;rkad 4 sec gS (C) LFkk;h voLFkk fLFkfr esa] cSVjh }kjk lIykbZ /kkjk

0.75 A gS (D) LFkk;h voLFkk fLFkfr esa] izsjd ls izokfgr /kkjk 0.75A

gSA

Q.4 nks cgqr cM+s lery niZ.k fp=k esa n'kkZ;s x;s gSA ;g ,d nwljs ls 60º dks.k ij gSA ,d izdk'k fdj.k fdlh ,d niZ.k ij n'kkZ;s vuqlkj vkifrr gSA izdk'k fdj.k niZ.kksa ds dks.k lef}Hkktd ds lekarj vkifrr gS] rks -

60º

(A) izdk'k fdj.k rhu ijkorZuksa ds v/khu gS (B) izdk'k fdj.k nks ijkorZuksa ds v/khu gS (C) lHkh ijkorZuksa ds i'pkr izdk'k fdj.k esa dqy

fopyu 3

4π gS

(D) lHkh ijkorZuksa ds i'pkr izdk'k fdj.k esa dqy fopyu π gS

Q.5 ,d foLQksVd 6 kg dk gS bls {kSfrt ls 60° ij 35 m/sec ds lkFk iz{ksfir fd;k x;k gSA iFk ds mPpre fcUnq ij ;g foLQksfVr gksdj nks Hkkxksa esa VwV tkrk gSA buesa ls ,d vU; ds nqxqus nzO;eku dk gSA nksuksa VqdM+s ,dLkkFk tehu ij Vdjkrs gSaA gYdk VqdM+k okil iz{ksi.k fcUnq ij ykSVrk gSA (g = 9.8 m/s2)

(A) Hkkjh VqdM+k] iz{ksi.k fcUnq ls 162 m ij tehu ij fxjrk gS

(B) nzO;eku dsUnz dh fLFkfr iz{ksi.k fcUnq ls 108 m ij gksxh

(C) bl izfØ;k esa xfrt ÅtkZ fu;r jgsxh. (D) foLQksVu ds dkj.k xfrt ÅtkZ 5512 J }kjk

c<+ tk;sxh

Q.6 ,d xksykdkj xqfgdk ,d le:i Bksl xksys ftldh f=kT;k R gS esa bl izdkj cuh gS fd bldh lrg xksys dh ckg~; lrg dks Li'kZ djrh gS o ewy xksys ds dsUnz ls gksdj xqtjrh gS uhps n'kkZ;s vuqlkjA vc ,d m nzO;eku d.k dh dsUnz ls 2R nwjh ij fLFkr fd;k x;k gSA ;fn ewy xksys dk nzO;eku M gS rc–

mO

(A) m ij dqy xq:Roh; cy 236R

GMm gS

(B) m ij dqy xq:Roh; cy 367

2RGMm gS

(C) xqfgdk ds vanj xq:Roh; {ks=k dh rhozrk 'kwU; gS (D) ;fn ge m dh mifLFkfr dks ux.; ekus rks

xqfgdk ds vanj xq:Roh; {ks=k fu;r gS



Q.7 ,dle:i pdrh dk nzO;eku 2kg o f=kT;k 1m gS ;g ,d v{k ij yxh gSA ;g v{k fQDl ?k.kZ.kghu

fc;fjax ij yxh gSA ,d gYdh Mksjh] pdrh ds

ifjf/k ij fyiVh gS o 1kg dk nzO;eku Mksjh ds

eqDr fljs ij layXu gSA ;fn bls fojke ls NksM+k

tkrk gS] rks - (A) Mksjh esa ruko 5N gS (B) izFke pkj lsd.M esa pdrh dk dks.kh; foLFkkiu 40

rad gS (C) cyk?kw.kZ }kjk izFke pkj lsd.M esa pdrh ij

fd;k x;k dk;Z 200J gS (D) izFke pkj lsd.M esa pdrh dh xfrt ÅtkZ esa

o`f} 200J gS Q.8 1000 grams ukbVªkstu dk rki] fu;r nkc ij –20ºC

ls 100ºC rx c<+k;k x;k gSA fn;k gS] fu;r vk;ru ij fof'k"V Å"ek Cv = 5 cal/mole ºC ,oa R = 2Cal/mole ºC

(A) bl izfØ;k ds fy, vko';d Å"ek 30 K Cal gS

(B) xSl dh vkarfjd ÅtkZ esa o`f) 21 Kcal gS (C) ;fn ;g izØe fu;r vk;ru ij gksrk gS] rks

vko';d Å"ek 21 Kcal gS (D) fd;k x;k ckg~; dk;Z 10 KCal gS

Q.9 ,d vuqizLFk T;koØh; rjax dk vk;ke a, rjaxnS/;Z λ o vko`fÙk f gS rFkk ;g ,d [khaph gqbZ Mksjh ij

;k=kk dj jgh gS Mksjh ij fdlh fcUnq dh vf/kdre

pky v/10, gS tgk¡ v rjax lapj.k dh pky gS] ;fn

ij a = 10–3 m o v = 10 m/s gS, rks λ rFkk f fn;s tkrs gS] ds }kjk–

(A) λ = 2π × 10–2 m (B) λ = 10–3 m

(C) f =π2

103Hz (D) f = 104 Hz

Q.10 ,d izof/kZr YDSE iz;ksx esa ;fn ,do.khZ izdk'k

fcUnq L=kksr O dks bl izdkj fLFkr fd;k x;k gS fd

OS1– OS2 = 4λ gS tgk¡ λ izdk'k dh rjaxnS/;Z gS o

S1 o S2 fLyV i`Fkdrk 2λ gS rks θ ds og eku

ftlds fy, mfPp"V izkIr gksxk] og gS -

θ O

S1

S2

(A) sin–1 (1/8) (B) sin–1 (–1/4) (C) sin–1 (5/6) (D) sin–1 (–7/8)



[k.M – II [iz-1 ls iz-10]

bl [k.M esa 10 (iz-1 ls 10) iz'u gaSA izR;sd lgh mÙkj ds fy;s +3 vad fn;s tk,saxs rFkk xyr mÙkj ds fy, _.kkRed vad ugha gSA bl [k.M esa izR;sd iz'u dk mÙkj 0 ls 9 rd bdkbZ ds ,d iw.kk±d gSaA OMR esa iz'u la[;k ds laxr uhps fn;s x;s cqYyksa esa ls lgh mÙkj okys cqYyksa dks dkyk fd;k tkuk gSA mnkgj.k ds fy, ;fn iz'u la[;k ¼ekusa½ X, Y, Z rFkk W ds mÙkj 6, 0, 9 rFkk 2 gkas, rks lgh fof/k ls dkys fd;s x;s cqYys ,sls fn[krs gSa tks fuEufyf[kr gS%

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

X Y Z W

Q.1 uhps n'kkZ;s ifjiFk esa] R = 1 kΩ, C = 10 mF cSVjh dh VfeZuy oksYVrk a × 10 gSA LFkk;h voLFkk esa vkosf'kr djus ij la/kkfjr 4.5 J aÅtkZ laxzfgr djrk gS] rks a dk eku gS -

R R

2R

R C

Q.2 ,d cM+k VSad ty ls Hkjk gS ty dk ?kuRo = 103kg/m3 gSA ,d y?kq fNnz ty lrg ls 10 m uhps fd;k x;k gSA fNnz ls ckgj vkrs ty dh tehu ij ijkl R gSA ty lrg ij fdruk vfrfjDr nkc (atm esa) vkjksfir djuk gksxk rkfd ijkl 2R gks tk;sA(1 atm = 105 Pa o g = 10 m/s2)

10m

R Q.3 nks ik=k A rFkk B Bksl csyukdkj ufydk ftldh

yEckbZ 7

242 cm o f=kT;k 3.8 cm gS }kjk vkil

esa tqM+s gSaA NM+ dh rkih; pkydrk 693 watt/mole-K gSA ik=k A nks eksy vkWDlhtu xSl o ik=k B pkj eksy ghfy;e xSl j[krk gSA t = 0 ik=kksa ds e/; rkikarj 50ºC gS fdrus le; i'pkr (lsd.M esa) buds e/; rkikarj 25ºC gksxkA Å"ek lapj.k dsoy NM+ }kjk gksxkA fofdj.k gkfu ux.;

ekusA R = 8.3 J/mole-K o π =722 ysaA

A

O2

B

He



Q.4 ,d izs{kd 15 m/s dh pky ds lkFk L=kksr dh vksj

xfr'khy gSA L=kksr 5 m/s dh pky ds lkFk leku

fn'kk esa xfr'khy gSA ok;q 10 m/s dh pky ds lkFk

izs{kd ds L=kksr dh vksj xfr'khy gS ;fn mRlftZr

/ofu dh vko`fÙk 325 Hz gS] rks izs{kd }kjk lquh xbZ

/ofu dh vko`fÙk –330 Hz, dk eku (Hz esa) Kkr

dhft,A ok;q esa /ofu dk osx = 330 m/s

Q.5 ,d izdk'k fdj.k ,d nzo (μ = 3 ) ls nks

ledks.k fizTeksa ds ,d fudk; ij vkifrr gSA

fizTeksa ds viorZukad 3 rFkk 2 gS n'kkZ;s

vuqlkjA tc fdj.k CD Hkqtk ls ckgj ok;q esa vkrh

gS ;g 'kwU; fopyu ds v/khu gSA vkiru dks.k i, …. × 9º gS

μ = 2 3

μ = 3

i

Q.6 23Ne _.k chVk mRltZu }kjk 23Na esa {kf;r gksrk gSA 23Ne dk nzO;eku 22.994465 gS] 23Na dk

nzO;eku 22.989768 amu gSA mRlftZr bysDVªksuksa

dh vf/kdre xfrt ÅtkZ ........MeV gS] mRikn

ukfHkd ds izfr{ksi dh xfrt ÅtkZ dks ux.; ekusaA

Q.7 ,d 100 eV bysDVªkWu] ,d fLFkj ghfy;e vk;u

(He+) ls bldh ewy voLFkk esa Vdjkrk gS o bls

,d mPprj Lrj esa mÙksftr djrk gSA VDdj ds

i'pkr He+ vk;u] ,d ds i'pkr ,d nks QksVksu

ftudh rjaxnS/;Z 1085 Å rFkk 304 Å mRlftZr

djrk gSA VDdj ds i'pkr bysDVªkWu dh ÅtkZ dh

x.kuk dhft, (10–1 eV esa)A fn;k gS h = 6.63 × 10–34 Js. Q.8 fn;s x;s fp=k esa ,d vkos'k + Q fQDl gS vU;

vkos'k +2q dks fQDl vkos'k ls R nwjh ls iz{ksfir

fd;k x;k gSSA nks vkos'kksa ds e/; U;wure i`Fkdrk

¼cm esa½ D;k gS ml {k.k ij tc bldk osx iz{ksi.k

osx dk 3

1xquk gks tkrk gS (ekuk xq:Ro mifLFkr

gS) (R = 10 cm fn;k x;k gS )A

30º

v

+Q R M,+2q



Q.9 izR;sd izfrjks/k 2Ω gSA R izfrjks/k esa /kkjk (R = 2Ω), (x + 9.75 ampere) gS x dk eku Kkr dhft,A

50V 2Ω2Ω

2Ω2Ω

2Ω2ΩR 2Ω

i i

100V

2Ω

Q.10 ,d rSjkd ugj ds Åij cus ,d iqy ls dwnrk gS

o /kkjk dh fn'kk esa 1 km rSjrkk gSA bl izFke km ds i'pkr ;g ,d rSjrs gq, dkWdZ dks ikj djrk

gSA og vk/ks ?k.Vs rd rSjuk tkjh j[krk gS o blds

i'pkr okil eqM+rk gS o rSjdj okil iqy rd

ykSVrk gSA dkdZ o rSjkd] iqy rd leku le; ij

igqaprs gSaA rSjkd fu;r pky ls rSjrk gS, rks ugj esa

ty fdruh pky km/hr ds lkFk izokfgr gks jgk

gS\


CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 0744‐5151200 | www.careerpoint.ac.in

CHEMISTRY

[k.M – I [iz-1 ls iz-10] iz'u 1 ls 10 rd cgqfodYih iz'u gSaA izR;sd iz'u ds pkj

fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls ,d ;k vf/kd

fodYi lgh gks ldrs gaSA OMR 'khV esa iz'u dh iz'u

la[;k ds le{k viuk mÙkj vafdr dhft;sA izR;sd lgh

mÙkj ds fy, +3 vad fn;s tk;asxs rFkk xyr mÙkj ds fy,

dksbZ _.kkRed vadu ugha gSA

8

Q.1 fuEu esa ls fdl vfHkfØ;k esa] H2 xSl eqDr gksrh gS -

(A) 2 )Metal(

Na2 ⎯⎯ →⎯

(B) 2

)Metal(

K2⎯⎯→⎯

(C) ⎯⎯ →⎯NaOH

(D) 2 ⎯⎯⎯ →⎯3NaHCO2

Q.2

CH3–CH2–CH–CH2–CH3

| CH3

⎯⎯ →⎯ hv/Cl2

dkSulk lgh gS –

(A) f=kfoe leko;oh dks feykdj dqy pkj mRikn

curs gS

(B) f=kfoe leko;oh dks feykdj dqy 8 mRikn curs

gS

(C) 4 niZ.k leko;oh ;qXe curs gS

(D) eq[; mRikn 2º gsykbM gS

Q.3 fuEu esa ls dkSulk SN1 rFkk SN2 vfHkfØ;k ds

leku mRikn nsrk gS\ (f=kfoe mRikn dks feykdj) -

(A) I

OH–

(B)

Cl

Aq. KOH

CH3

(C) CH2–Cl Aq. KOH

(D) Cl

Aq. KOH



Q.4 fuEu esa ls dkSulk/dkSuls ehtks ;kSfxd gS

(A)

HO CH2OH

CH2OH

OH OH

O

(B)

H

NH2

COOH NH2

H

COOH

(C)

F

Cl F

Br

9

Br

Cl

(D)

COOH

OH H

HO H

COOH

Q.5 lgh dFkuksa dks pqfu;s : (A) pkydrk lsyks dk lsy fLFkjkad eku lsy esa

Hkjs foy;u ls Lora=k jgrk gSA (B) DC (fn"V /kkjk) dks foy;u dk izfrjks/k ekius

esa iz;qDr ugha tkrk gSA (C) dqyjk'k fu;e izcy rFkk nqcZy oS?kqr vi?kV;ksa

nksuksa ds fy, ekU; gSA (D) ruqrk ij] k ?kVrk gS ijUrq λM rFkk λE c<+rs gSA

Q.6 pH = 1 ds ,d yhVj foy;u dks 10 xquk rd ruq

fd;k tkrk gSA pH = 2 ds foy;u dk fdruk vk;ru ruq foy;u esa feyk;sa fd pH ifjorZu u gksA :

(A) 1 yhVj (B) 10 yhVj (C) 100 yhVj (D) 25 yhVj Q.7 nks nzo A rFkk B, vkn'kZ foy;u cukrs gS] 80°C ij

foy;u esa ok"i nkc 700 VkWj gSA esa foy;u ds 2/3rd rd vklfor djds] la?kfu=k esa ,df=kr dj ysrs gSA la?kfr=k dk la?kVu x'A= 0.75 rFkk vo'ks"k x"A= 0.30 gSA ;fn 80°C vo'ks"k dk ok"i nkc 600 VkWj gks rks fuEu esa ls dkSulk lR; gS \

(A) okLrfod nzo dk la?kBu xA = 0.6 gS (B) okLrfod nzo dk la?kBu xA = 0.4 gS

(C) = oAP

32500 VkWj

(D) = 500 VkWj oBP



Q.8 ØeksÙkj izFke dksfV vfHkfØ;k dh fuEu fLFkfr ij

fopkj dhft, C

DA

k1

k2 dsoy A ds lkFk t = 0 ij vfHkfØ;k ds izkjEHk gksus

ds ckn [C] lHkh le;ksa ij [D] ds cjkcj gSA le;

ftleas rhuksa lkUnzrk,¡ cjkcj gksxh] fdl izdkj fn;k

tkrk gS

(A) 3nk21t

1l= (B) 3n

k21t

2l=

(C) 2nk31t

1l= (D) 2n

k31t

2l=

Q.9 ,d rRo ds DyksjkbZM dks MClx lq=k }kjk fd;k

tkrk gS rFkk bls 0.01 M tyh; foy;u esa 100%

rd vk;fur fd;k tkrk gS] rc & (A) ;fn [Cl–] = 0.03 M rks x dk eku 3 gSA (B) ;fn [Cl–]- = 0.05 M rks x dk eku 5 gSA (C) [Cl–] ls vyx [Mx+] = 0.01 M, gSA (D) [Mx+] [Al–] ij fuHkZj djrk gSA

Q.10 Bksl veksfu;e dkcsZesV NH4CO2NH2(s) fuEu

n'kk;sZ vuqlkj veksfu;k rFkk dkcZuMkbZvkWDlkbM esa

fo;ksftr gksrk gS] tc okf"ir fd;k trk gSA NH4CO2NH2(s) 2NH3(g) + CO2(g)

25°C ij] Bksl ds lkFk lkE; esa xSlksa dk dqy nkc 0.116 atm gSA ;fn lkE; izkIr gksus ds i'pkr 0.1 atm CO2 izkIr gks rks :

(A) CO2 dk vfUre nkc 0.1 atm ls de gksxk (B) CO2 dk vfUre nkc 0.1 atm ls vf/kd gksxk (C) CO2 ds feykus ds dkj.k NH3 dk nkc ?kVsxk

(D) CO2 ds feykus ds dkj.k NH3 dk nkc c<sxkA


bl [k.M esa 10 (iz-1 ls 10) iz'u gaSA izR;sd lgh mÙkj ds fy;s +3 vad fn;s tk,saxs rFkk xyr mÙkj ds fy, _.kkRed vad ugha gSA bl [k.M esa izR;sd iz'u dk mÙkj 0 ls 9 rd bdkbZ ds ,d iw.kk±d gSaA OMR esa iz'u la[;k ds laxr uhps fn;s x;s cqYyksa esa ls lgh mÙkj okys cqYyksa dks dkyk fd;k tkuk gSA mnkgj.k ds fy, ;fn iz'u la[;k ¼ekusa½ X, Y, Z rFkk W ds mÙkj 6, 0, 9 rFkk 2 gkas, rks lgh fof/k ls dkys fd;s x;s cqYys ,sls fn[krs gSa tks fuEufyf[kr gS%

012

3

4

56

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

X Y Z W

10



Q.1 C3H6O ds dqy lEHko lajpuk leko;oh fdrus gS&

Q.2

CH3H2O/Δ

Cl

CH3 mRikn ds :i esa (f=kfoe leko;oh dks feykdj)

fdrus 3º ,YdksgkWy izkIr gksrs gS ?

Q.3 CH3

O||C –CH3

OH/Zn/O)ii(

/OH

23

⎯⎯⎯ →⎯ Δ−

+ CcompoundDicarbonyl

B ⎯⎯⎯ →⎯ NaOH/I2

⎜⎝⎛ ⎟

⎠⎞

+carbonof

.nolessDE

mijksDr vuqØe ds fy, fdrus dFku lR; gS (i) vfHkdkjd] ckbZlYQkbV feJ.k ns ldrk gS (ii) D, csUtsfyMgkbM ds dsuhtkjksa vfHkfØ;k dk

,d mRikn gS (iii) B VkWyu vfHkdeZd ifj{k.k nsrk gS (iv) C vk;ksMksQkWeZ ifj{k.k nsrk gS

Q.4 fdruh vfHkfØ;k eq[; mRikn ds fy, lqesfyr gSA

(I)

C≡N

C–NH2 O

LiAlH4

CH2–NH2

CH2–NH2

11

(II)

Br2/Fe

O O

Br

(III)

NaOCH3

CH3

CH3–C–X|

|CH3

CH3 CH3–C–O–CH3

|

| CH3

(IV)

NO2

CH3Cl/AlCl3

NO2

CH3

(V)

Cl–C=O

NaBH4

CH2OH

C≡N C≡N

(VI)

KMnO4

OH

R–CH–CH2–CH2OH |

O R–C–CH2–C–OH

||

||O

Q.5 B.Ms lksfM;e DyksjkbM foy;u dk oS?kqr vi?kVu NaOH rFkk Cl2 nsrk gSA fufeZr Cl2, NaOH foy;u

esa fo"kekuqikfrr gksdj lksfM;e gkjiksDyksjkbV (NaClO) rFkk lksfM;e DyksjkbZM nsrh gSA NaClO

ds 7.45 % (w/w) foy;u ds 1.00 × 103L cukus ds

fy, lsy fdruk dk;Zjr jgsxk ;fn lsy /kkjk 9.65 ,Eih;j ns\ ekuk fd foy;u dk ?kuRo 1.00 gm/ml gSA

[vius mRrj dks 10–7 ls xq.kk djds fnft;sA]



Q.9 ikWyhDyksfjuhd`r ckbZQsfuy PCBs, dks [krjukd

i;kZoj.kh; iznq"k.k ekuk tkrk gSA

lkekU; eqykuqikrh lw=k ds LkkFk ;kSfxd oxZ gS tgk¡

m iw.kkZad gSA m dk eku D;k gS fd ;kSfxd esa dkcZu

izfr'kr 40 gS ?

m10m12 ClHC −

Q.6 fn;k gS : Zn (OH)2 (s) Zn(OH)2 (aq) ; K1 = 10–6

Zn (OH)2 (aq) [Zn(OH)]+ + OH– ; K2 = 10–7

[Zn(OH)] +(aq) Zn+2 + OH– ; K3 = 10–4

Zn(OH)2 (aq) + OH– [Zn(OH)3]– ; K4 = 103

[Zn(OH)3]–(aq) + OH– Zn(OH)4]2– ; K5 = 10 pH = 6 ij] 25°C ij Bksl Zn(OH)2 dh foy;u

dk _.kkRed y?kqxq.kad Kkr dhft,A ekuk 25°C

ij Zn(OH)2 lar`Ir foy;u cukrk gSA

Q.10 VªkbZlkbDyksesVkQkWLQksfjd vEy (HPO3)3 esa fdrus

P–O–P cU/k gS ?

Q.7 0.0125 eksy lqØksl] 100 gm ty esa ?kksyh tkrh gS

rFkk ;g fuEu lehdj.k vuqlkj izrhiu djrh gSA

C12H22O11 + H2O ⎯⎯→ C6H12O6 + C6H12O6

;fn foy;u ds DoFkukad esa mUu;u 0.104°C gks rks

izrhi 'kdZjk dk th

101

⎟⎠⎞

⎜⎝⎛ eksy izfr'kr Kkr djksA

(Kb for H2O = 0.52).

Q.8 log k rFkk T1 ds e/; xzkQ [K nj fLFkjkad (sec–1)

rFkk T, rki (K) gS] OX = 5 rFkk θ = tan-1

⎟⎠⎞

⎜⎝⎛ −

303.21 ds lkFk ljy js[kk gSA Ea dk eku

dSyksjh esa gS ……

12



MATHEMATICS[k.M – I [iz-1 ls iz-10]

iz'u 1 ls 10 rd cgqfodYih iz'u gSaA izR;sd iz'u ds pkj

fodYi (A), (B), (C) rFkk (D) gSa, ftuesa ls ,d ;k vf/kd

fodYi lgh gks ldrs gaSA OMR 'khV esa iz'u dh iz'u

la[;k ds le{k viuk mÙkj vafdr dhft;sA izR;sd lgh

mÙkj ds fy, +3 vad fn;s tk;asxs rFkk xyr mÙkj ds fy,

dksbZ _.kkRed vadu ugha gSA

13

Q.1 ekuk ⎥⎦⎤

⎜⎝⎛→⎟

⎠⎞

⎢⎣⎡ 3,

21

25,0:f ds fy,

1}x{1]x[)x(f

++

=

gS tgk¡ [.] egÙke iw.kk±d Qyu dks iznf'kZr djrk gS

rFkk {.}, x ds fHkUukRed Hkkx dks iznf'kZr djrk gS]

rc fuEu esa ls dkSulk lR; gS

(A) f(x) ,dSdh vlarr~ Qyu gS

(B) f(x) vkPNknd gS ,oa vodyuh; ugha gS

(C) )1(f)x(flim),x(flimmin1x1x

=⎟⎠⎞

⎜⎝⎛

+− →→

(D) max (vlkarR; fcUnqvksa ds x eku) = f (1)

Q.2 ekuk e vfrijoy; 2

2

2

2

by

ax

− = 1 dh mRdsUnzrk gS

rFkk f(e) la;qXeh vfrijoy; 2

2

2

2

by

ax

+− = 1 dh

mRdsUnzrk gS] rc cjkcj gS ∫3

1 timesn

de)e(f.....fff43421

(A) 2 ;fn n le gS (B) 4 ;fn n le gS (C) 22 ;fn n fo"ke gS (D) 24 ;fn n fo"ke gS

Q.3 ;fn nh?kZo `Ùk x2 + 4y2 = 16 ds fcUnq P(θ) ij Li'kZ js[kk o`Ùk x2 + y2 – 8x – 4y = 0 dk vfHkyEc gS] rc θ cjkcj gksxk -

(A) 2π (B)

4π (C) 0 (D) –

4π

Q.4 vody lehdj.k

sin ⎟⎠⎞

⎜⎝⎛

dxdyx cos y =

dxdy + sin y cos ⎟

⎠⎞

⎜⎝⎛

dxdyx dk gy

gS (A) y = 0 (B) cx2 – y = sin–1x (C) cx – y = sin–1c

(D) y = 1x2 − – sin–1

x1x2 −



Q.5 ekuk f(x) ,d okLrfod ekuh Qyu gS tks

f(x) = x2 + x2 + ds }kjk

ifjHkkf"kr gS] rc fuEu esa ls dkSulk@ls lR; gS ?

∫−

1

1

dt)t(ft ∫−

1

1

3 dt)t(fx

(A) = ∫−

1

1

dt)t(ft1110

(B) f(1) + f(–1) = 1130

(C) ∫ > −

1

1

dt)t(ft ∫−

1

1

dt)t(f

(D) f(1) – f(–1) = 1120

Q.6 ekuk bdkbZ lfn'k o yEcor~ gS rFkk bdkbZ

ekikadh lfn'k lfn'kksa o ls α dks.k ij

>qdk gqvk gSA ;fn → = l + m

→+ n(

→×

→b ), rc

→a

c

→b

→a

→a

→c

→b

b a

(A) l = m

(B) n2 = 1 – 2l2

(C) n2 = – cos 2α

14

(D) m2 = 2

2cos1 α+

Q.7 ,d ledks.k f=kHkqt T1 dh Hkqtk,sa 20, x rFkk d.kZ y

gSA vU; ledks.k f=kHkqt T2 dh Hkqtk,sa 30, x – 5 rFkk

d.kZ y + 5 gSA ;fn P1 ,oa P2 Øe'k% vUr%oÙkksa dh

f=kT;k,sa gS rFkk Δ1 ,oa Δ2 Øe'k% f=kHkqt T1 ,oa T2 ds

{ks=kQy gS] rc fuEu esa ls dkSulk lgh gS ?

(A) 6Δ1 = 5Δ2 (B) 8Δ1 = 7Δ2

(C) P1 = P2 (D) 2P1 = P2

Q.8 ;fn nks ladsUnzh; nh?kZo `Ùk bl izdkj gS fd mudh

ukfHk;k¡ ,d nwljs ij fLFkr gS rFkk muds nh?kZv{k

cjkcj gSA ekuk e1 ,oa e2 mudh mRdsUnzrk,sa gS] rc

(A) nksuksa nh?kZo `Ùkksa dh ukfHk;ksa dks feykus ls fufeZr

prqHkZqt ,d lekUrj prqHkZqt gksxkA

(B) muds v{kksa ds e/; dks.k θ,

cos θ = 22

21

22

21 ee

1e1

e1

−+ ds }kjk fn;k tkrk

gSA

(C) ;fn e12 + e2

2 = 1, rc nksuksa nh?kZo `Ùkksa ds v{kksa

ds e/; dks.k 90º gksxkA

(D) buesa ls dksbZ ugha



Q.9 ;fn f(x) = ex tan(1/n) ln (1/n) rFkk ∞→n

lim

∫ 3 11 )xcosx(sin

)x(f dx = g(x) + c, rc

(A) g ⎟⎠⎞

⎜⎝⎛ π

4 =

23

(B) g(x) lHkh x ds fy, larr~ gS

(C) g ⎟⎠⎞

⎜⎝⎛ π

4 = –

815

(D) g(x) vifjfer :i ls dbZ fcUnqvksa ij

vodyuh; ugha gSA

Q.10 ekuk f1(x) = x, f2(x) = 1 – x; f3(x) = x1 ,

f4(x) = x1

1−

; f5(x) = 1x

x−

; f6(x) = x

1x − gSA

ekukfd f6(fm(x)) = f4(x) rFkk fn(f4(x)) = f3(x) rc

(A) m = 5 (B) n = 5

(C) m = 6 (D) n = 6

15


bl [k.M esa 10 (iz-1 ls 10) iz'u gaSA izR;sd lgh mÙkj ds

fy;s +3 vad fn;s tk,saxs rFkk xyr mÙkj ds fy,

_.kkRed vad ugha gSA bl [k.M esa izR;sd iz'u dk mÙkj

0 ls 9 rd bdkbZ ds ,d iw.kk±d gSaA OMR esa iz'u la[;k

ds laxr uhps fn;s x;s cqYyksa esa ls lgh mÙkj okys cqYyksa

dks dkyk fd;k tkuk gSA mnkgj.k ds fy, ;fn iz'u la[;k

¼ekusa½ X, Y, Z rFkk W ds mÙkj 6, 0, 9 rFkk 2 gkas, rks lgh

fof/k ls dkys fd;s x;s cqYys ,sls fn[krs gSa tks fuEufyf[kr

gS %

012

3

4

56

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

0 1 2

3

4

5 6

7

8

9

X Y Z W



Q.1 ;fn , ,oa

gSA rc lfn'kksa

jia +=′r

k2jib +−=′r

c,b,a

kji2c −+=′r

rrr

b

ds }kjk fufeZr lekUrj

"kV~Qyd ftldk vk/kkj r

,oa cr

ds }kjk fufeZr

gS] dk 'kh"kZyEc k

1 gS] rc k cjkcj gS ( c,b,arrr,oa

′′ c,′ b,arrr

lfn'kksa ds O;qRØe fudk; gS)

Q.2 ekuk A = rFkk B = nks eSfVªDl

bl izdkj gS fd AB = BA rFkk c ≠ 0 gS, rc

⎥⎦

⎤⎢⎣

⎡4321

⎥⎦

⎤⎢⎣

⎡dcba

cb3ad

−− dk eku gksxkA

Q.3 ekuk E(n), N ds le vadks ds ;ksxQy dks O;Dr

djrk gS] mnkgj.k ds fy, E(5681) = 6 + 8 = 14,

rc

100

)100(E....)3(E)2(E)1(E ++++ dk eku Kkr

djksA

Q.4 )1x2)(1x(

)rx(lim 10041006

10

1r

2010

x ++

+∑=

∞→

Q.5 )x21e(xxxcosxxsinlim

4x24

20444

0x 4−−

+−→

cjkcj N gS, rc

18N cjkcj gksxkA

Q.6 ik=k A esa 9 yky xsUnsa rFkk 11 lQsn xsUns gSA ik=k B esa 12 yky xsUns rFkk 3 lQsn xsUns gSA ,d

O;fDr ,d fu"i{kikrh ik¡lk Qsadrk gSA ;fn ifj.kke

,d ;k nks vkrk gS] rks og ik=k A ls ;kn`PNrk ,d

xsUn dk p;u djrk gSA vU;Fkk og ik=k B ls

;kn`PNrk ,d xsUn dk p;u djrk gSA yky xsUn

izkIr gksus dh izkf;drk K30

41 gS] rc K cjkcj gksxk

Q.7 ekuk f (x), ( )⎩⎨⎧

−−α=

−

,x6,x5tanxf

21

1x1x0

≥<< ds

}kjk ifjHkkf"kr gSA

rc f (x) dk ,d mfPp"B eku] x = 1 ij gks ldrk

gS ;fn α < – tan k rc k cjkcj gksxk

16



Q.8 ;fn ijoy; y2 = 4x rFkk o`Ùk (x – 6)2 + y2 = r2

dksbZ mHk;fu"B Li'kZ js[kk ugha j[krs gS] rc r dk

egÙke iw.kk±d eku gksxkA

Q.9 ekuk f(x) = 2ee xx −− rFkk ;fn f(g(x)) = x =

g[f(x)], rc 167

1 g ⎟⎟⎠

⎞⎜⎜⎝

⎛ −501

1002

e21e dk eku gksxk

Q.10 og lery ftlesa nks js[kk,sa 1

3x − =42y

−− =

51z −

rFkk 1

2x − =43y

−+ =

51z + vUrfuZfgr gS]

11x + my + nz = 28 gSA rc | m + n | dk eku Kkr djksA

17

S

EA

L

career point jee... · 2017. 3. 28. · fcunq l=kksr o dks bl izdkj flfkr fd;k x;k gs fd os1– os2...

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