class: sz1-a jee-adv (2015-p1) model date: 14-06-2020 time ...€¦ ·...

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: 040-45009999(360/341) : [email protected] : http://www.narayanagroup.com

Class: SZ1-A JEE-ADV (2015-P1) MODEL Date: 14-06-2020

Time: 3hrs WAT-01 Max. Marks: 264

IMPORTANT INSTRUCTIONS

PHYSICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks

Sec – I (Q.N : 1 – 8) Questions with single digit integer

from 0 to 9 4 0 8 32

Sec – II(Q.N : 9 – 18) Questions with 1 or more Correct

Choice 4 -2 10 40

Sec – III(Q.N : 19 – 20) Questions with Matrix Matching

Type 2 x 4 -1 x 4 2 16

Total 20 88

CHEMISTRY Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks

Sec – I(Q.N : 21 – 28) Questions with single digit integer

from 0 to 9 4 0 8 32


Choice 4 -2 10 40


Type 2 x 4 -1 x 4 2 16

Total 20 88

MATHEMATICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks

Sec – I(Q.N : 41 – 48) Questions with single digit integer

from 0 to 9 4 0 8 32


Choice 4 -2 10 40


Type 2 x 4 -1 x 4 2 16

Total 20 88

mailto:[email protected]

http://www.narayanagroup.com/

SZ1-A_JEE-ADV(2015-P1)_WAT-01_QP_Exam.Dt.14-06-2020

Narayana CO Schools

2

–:SZ1-A Jee-Adv Exam Syllabus (14-06-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Sound Waves, Propagation Of Sound Waves, Speed Of Sound

Waves In Solids, Liquids And Gases , Newton's Formula, Laplace

Correction, Factors Effcting Speed Of Sound ( Pressure, Density,

Temparature Etc.,) Pressure Waves, Intensity, Energy, Power Of Sound

Waves, Loudness ( Sound Level In Decibels), Pitch, Timber

( Quality), Standing Waves In Air Columns applications

PREVIOUS WEEK 50%:

Interference in Transverse Waves, Reflection of Waves of Fixed end

and Free End Reflection and Refraction of Wave, Standing Waves,

Characteristics of Stationary Waves , Standing Waves in a String

Fixed at Both Ends String Fixed at one end and Free from other end,

Resonance, Sonometer and Meldes Apparatus , Applications.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

Electro chemical cells, Half cell reactions at electro chemical cells,

Daniel cell & Galvonic cells. Differences between Electro chemical cells

& electrolytic cells, Representation of galvanic cells, EMF of the cells,

Normal hydrogen electrode (SHE), Nernst equation.

PREVIOUS WEEK 50%:

Equivalent conductance, Factors effecting conductance, Effect of

dilution, Debye - Huckel - Onsager equation, Kohlrausch's law,

Calculations on Conductance based on Kohlrausch's law.

TOPICS

MATHS

PRESENT WEEK 50%:

General equation of ellipse, standard equation of ellipse, Different

forms of ellipse, focus, directrix , axis etc. of a ellipse, Notations,

position of a point w.r.to ellipse, Parametric cordinates of a point,

eccentic angle, Related problems.

PREVIOUS WEEK 50%:

Equation of normal ( both forms) properties of normal for parabola,

Number of normals passing through given point, Co-normal points,

circle through co-normal points, Reflection property, Miscelleneous

problems.


Narayana CO Schools

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SECTION – I (01 TO 08) (INTEGER ANSWER TYPE)

This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).

Marking scheme +4 for correct answer, 0 if not attempted and 0 in all other cases.

01. A string tied between 0x = and x l= vibrates in fundamental mode.

The amplitude at antinode is A, tension T and mass per unit length

is given. The total energy of the string is

2 2

.24

x TA

l

Then the

value of x is

02. Two narrow cylindrical pipes A and B have the same length. Pipe A

is open at both ends and is filled with a monoatomic gas of molar

mass .AM Pipe B is open at one end and closed at the other end,

and is filled with a diatomic gas of molar mass .BM Both gases are

at the same temperature. If the frequency of the second harmonic

of the fundamental mode in pipe A is equal to the frequency of the

third harmonic of the fundamental mode in pipe B, the value of

/A BM M is 100

.189

x Then the value of x is ____________

03. A long wire PQR is made by joining two wires PQ and QR of equal

radii PQ has length 4.8 m and mass 0.06 kg. QR has length 2.56

m and mass 0.2 kg. The wire PQR is under a tension of 80 N. A

sinusoidal wave – pulse of amplitude 3.5 cm is sent along the wire

PQ from the end P. No power is dissipated during the propagation

of the wave – pulse. The time taken by the wave – pulse to reach

the other end R of the wire is 2

7sec.

10

x Then the value of x is ___


Narayana CO Schools

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04. The sound level at a point is increased by 30 dB. By the factor of

the pressure amplitude increased by 1000

x. Then the value of x

is ______

05. The frequency of a sonometer wire is f . When the weights

producing the tensions are completely immersed in water, then the

frequency becomes 2

f and when the weights are immersed

completely in a certain liquid frequency becomes 3

f. The specific

gravity of the liquid is ( )23

27

x+, then the value of x is _____

06. A heavy string is tied at one end to a movable support and to a light

thread at the other end as shown in figure. The thread goes over a

fixed pulley and supports a weight to produce a tension. The lowest

frequency with which the heavy string resonates is 120 Hz. If the

movable support is pushed to the right by 10 cm so that the joint

is placed on the pulley, the minimum frequency at which the heavy

string can resonate is 1680

Hzx

, then the value of x is ______

07. A train sounds its horn as it approaches an intersection. The horn

can just be heard at a level of 50dB by an observer 10km away.

The average power generated by the horn is 10x watt , then the

value of x is ______ (Nearest value)


Narayana CO Schools

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08. A string of length 0.4m and mass kg−210 is tightly clamped at its

ends. The tension in the string is 1.6N. Identical wave pulses are

produced at one end at equal intervals of time t . This t is the

minimum value for constructive interference between successive

pulses. Find ( )t10 value in seconds

SECTION – II (09 TO 18)

(MULTIPLE CORRECT CHOICE TYPE) This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C)

and (D) for its answer, out of which ONE OR MORE than ONE option can be correct.

Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.

09. Standing waves can be produced

A) on a string clamped at both ends

B) on a string clamped at one end and free at the other

C) when incident wave gets reflected from a wall

D) when two identical waves with a phase difference of are moving

in the same direction.

10. A progressive wave travels in a medium 1

M and enters a medium

2M

in which its speed decreases to 75%. The amplitude of incident

wave, reflected wave and transmitted wave are i r

A ,A and t

A

respectively. Then,

A) 1

7

r

i

A

A= B)

1

5

r

i

A

A= C)

6

7

t

i

A

A= D)

4

5

t

i

A

A=

11. The tension in a stretched string fixed at both ends is changed by

2%, the fundamental frequency is found to get changed by 15 Hz.

Select the correct statement(s).

A) Wavelength of the string of fundamental frequency does not

change

B) Velocity of propagation of wave changes by 2%

C) Velocity of propagation of wave changes by 1%

D) Original frequency is 1500Hz


Narayana CO Schools

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12. Which of the following statements are incorrect?

A) Changes in air temperature have no effect on the speed of sound.

B) Changes in air pressure have no effect on the speed of sound.

C) Changes in air pressure have effect on the speed of sound.

D) The speed of sound in water is lower than in air

13. An organ pipe, open at both ends, contains

A) longitudinal stationary waves

B) longitudinal travelling waves

C) transverse stationary waves

D) transverse travelling waves.

14. A typical sound wave has a frequency 1000Hz and has a pressure

amplitude 10 Pa. Density of air is 31 29. kg m− and speed of sound in

air 340 m / s . The maximum value of displacement at any time and

place is A. At 0t ,= pressure is maximum at some point 1x and the

displacement is 1y . Then,

A) 2 63A . m= B) 3 63A . m=

C) 11 63y . m= D) 1

zeroy =

15. Three resonant frequencies of a string are 90, 150 and 210Hz, then

A) The highest possible fundamental frequency of vibration of this

string is 45 Hz

B) The highest possible fundamental frequency of vibration of this

string is 30 Hz

C) If the length of the string is 80cm, then the speed of a transverse

wave on this string is 48 m/s

D) If the length of the string is 80cm, then the speed of a

transverse wave on this string is 32 m/s


Narayana CO Schools

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16. An aluminium rod having a length of 90.0cm is clamped at its

middle point and is set into longitudinal vibrations by stroking it

with a rosined cloth. Assume that the rod vibrates in its

fundamental mode of vibration. The density of aluminium is

32600 kg m− and its Young’s modulus is

10 27 80 10. Nm .− Then

A) The speed of sound in aluminium is 2740m / s

B) The wavelength of sound waves produced in the rod is 180cm

C) The speed of sound in aluminium is 5480m / s

D) The wavelength of sound waves produced in the air is 11 1. cm

17. In a stationary wave, choose correct options.

A) All the particles of the medium vibrate in phase

B) All the antinodes vibrate in phase

C) The alternate antinodes vibrate in phase

D) All the particles between consecutive nodes vibrate in phase

18. Choose the correct options

A) A standing wave is produced on a string clamped at one end

and free at the other. The length of the string must be integral

multiple of 4

B) A standing wave is produced on a string clamped at one end

and free at the other. The length of the string must be integral

multiple of 2

C) The energy of any small part of a string remains constant in a

standing wave

D) The energy of any small part of a string remains constant in a

travelling wave


Narayana CO Schools

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SECTION – III (19 TO 20) (MATRIX MATCHING LIST TYPE)

➢ This section contains 2 questions. Each question has four statements (A, B, C and D)

given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in

Column II.

➢ For example, if for a given question, statement B matches with the statements given in

Q and R, then for the particular question darken the bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and

0 if not attempted and -1 in all other cases.

19. Regarding speed of sound in a gas, match the following columns

and mark the correct option from the codes given below.

Column-I Column-II

A) Temperature of the gas is made

4 times and pressure 2 times P)

Speed becomes 2 2

times

B) Only pressure is made 4times

without change in temperature Q) Speed becomes 2times

C) Only temperature is changed to 4 times

R) Speed remains unchanged

D)

Molecular mass of the gas is

made 4times (Temperature is

constant)

S) Speed becomes half

20. Column I contains incident wave functions and the end from which

it is reflected and Column II contains the reflected wave function.

Incident wave is reflected from free end or rigid end ( )0i.e. . = Match

the Column I with Column II and mark the correct option from the

codes given below.

Column-I Column-II

A) ( )iy Asin kx t ,= − free end P) ( )r

y A cos kx t= − +

B) ( )i

y A sin kx t= − , rigid end

Q) ( )r

y A sin kx t= +

C) ( )iy A cos kx t ,= − free end R) ( )r

y A sin kx t= − +

D) ( )iy A cos kx t ,= − rigid end S) ( )r

y A cos kx t= +


Narayana CO Schools

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This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9 (both inclusive).


21. The equivalent conductance of a 1 N solution of an electrolyte is

nearly 310x times its specific conductance. Then the value of x is

22. The potential of hydrogen electrode is -118 mv. The + H

concentration of the solution is 210x − . Then the value of x is

23. The following are some statements about normal hydrogen

electrode

i) When a Zn electrode is in combination of NHE, Zn electrode

acts as cathode

ii) When a Cu electrode is in combination with NHE, Cu electrode

is the anode

iii) When a Ag electrode is in combination with NHE, Ag electrode

is the anode

iv) When a chlorine electrode is in combination with NHE, chlorine

electrode is the anode

The number of incorrect statements is/are

24. An electrochemical cell has two half cell reactions as

2 02 0 63A e A; E . V+ −+ → = ; 2 02 2 37X X e ; E . V+ −→ + = The cell

voltage will be

25. The equivalent conductivity of a solution containing 2.54g of CuSO4

(M.wt =159.5) per litre is 1 2 191 0. cm eq− − . Its conductivity would be

3 1 110x cm− − − . Then the value of x is

26. The specific and equivalent conductivity of a solution is

1 10 01287. ohm cm− − and 1 2 12 574. ohm cm eq− − respectively. The

concentration (N) of the solution is?


Narayana CO Schools

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27. The conductivities at infinite dilution of 4NH Cl, NaOH and NaCl are

130, 218, 120 1 2 1– –ohm cm eq . If equivalent conductance of N/100

solution of 4NH OH is 10, then degree of dissociation of 4NH OH at

this dilution is 4 3 10 y. − . Then the value of y is

28. The equivalent conductivity of 1M H2SO4 solution

2 11 3 10x –. Scm mol if specific conductance is 26 × 10–2 S cm–1.

Then the value of x is

SECTION – II (29 TO 38) (MULTIPLE CORRECT CHOICE TYPE)

This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C) and (D) for its answer, out of which ONE OR MORE than ONE option can be correct.

Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.

29. The EMF of a galvanic cell is determined by using a

A) Voltmeter B) potentiometer C) Coulometer D) Ammeter

30. Which of the following statements is false for the electrochemical

cell?

A) Electrons flow from copper electrode to zinc electrode.

B) Current flows from zinc electrode to copper electrode.

C) Cations moves toward copper electrode.

D) Cations moves toward zinc electrode

31. In a galvanic cell

A) Chemical reaction produces electrical energy

B) Electrical energy produces chemical reaction

C) Oxidation occurs at anode

D) Reduction occurs at cathode

32. Which of the following energy changes does not occurs in

electrolysis

A) Electrical energy → Chemical energy

B) Chemical energy → Electrical energy

C) Chemical energy → internal energy

D) Internal energy → Electrical energy


Narayana CO Schools

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33. An electrochemical cell can behave like an electrolytic cell when

A) 0cellE = B) cell extE E

C) cell extE E D) cell extE E=

34. 0 1 1cellE . V= for Daniel cell. Which of the following expressions are

correct description of state of equilibrium in this cell?

A) 1 1 c. K= B) 2 303

1 12

c

. RTlogK .

F=

C) 2 2

0 059

c

.log K

.= D) 1 1clog K .=

35. Conductivity of an electrolytic solution depends on ____________.

A) Power of AC source

B) Distance between the electrodes

C) Nature of electrolyte

D) Concentration of electrolyte

36. Which of the following is incorrect for the solution of 3CH COOH up

on dilution regarding current carrying species?

A) The number in 1cm3 as well as in total volume increases

B) The number in 1cm3 decreases whereas that in the total volume

remains constant

C) The number in 1cm3 decreases but that in the total volume

increases

D) The number in 1cm3 as well as in total volume decreases

37. What happens at infinite dilution in a given solution?

A) The degree of dissociation is unity for weak electrolytes

B) The electrolyte is 100% ionised

C) All inter ionic attractions disappear

D) All inter ionic attractions will increase

38. The relationship c o b C = − will hold good for the electrolyte?

A) HCl B) KCl C) BaCl2 D)HCN


Narayana CO Schools

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SECTION – III (39 TO 40)

(MATRIX MATCHING LIST TYPE)


given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement in Column I can have correct matching with ONE or MORE statement(s) given in

Column II.


Q and R, then for the particular question darken the bubbles corresponding to Q and R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and


39. Match the Column I with Column II.

Column-I Column-II

A) Debye-Huckel-onsagar equation P) o o o

+ − = + of ions

B) Kohlrausch’s law

Q) 1000

Normality

K =

C) Equivalent conductance

R) 1000

Molarity

K =

D) Degree of ionization of electrolyte,

S)

cmom

T) c o b C = −


Column-I Column-II

A) Electrochemical cell P) G Ve = +

B) Electrolytic cell Q) G Ve = −

C) EMF of SHE R) Zero

D) Copper electrode in galvanic cell S) 0G =

T) Cathode


Narayana CO Schools

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This section contains 8 questions. The answer is a single digit integer ranging from 0 to 9

(both inclusive).


41. The distance between the foci of the ellipse

2 225 16 100 64 236 0x y x y+ + − − = is equal to

42. If ( ),P x y be a point on the ellipse 2 216 25 400x y+ = and

( ) ( )1 23,0 , 3,0F F= = − are foci of the ellipse, then 1 2

2

PF PF+

is equal

to

43. If the equation of the ellipse with foci ( )4,0 and length of latus

rectum 20

3 is

2 2

2 21,

x y

a b+ = then 2 21

2a b− is equal to

44. The integral value of for which the point 5

7 ,4

− −

lies inside

the ellipse 2 2

125 16

x y+ = is equal to

45. If the normal chord at ' 't on 2 4y ax= subtends a right angle at

vertex, then 2t is equal to

46. 2 8 2y x= − is a normal chord to the parabola 2 8 .y x= If length of

normal chord is ,k then 4 3

k is equal to

47. The normal at ( ),2a a on 2 4y ax= meets the curve again at ( )2 , 2 .at at

Then the value of 2' 't is equal to

48. The number of normals to the parabola 2 4y ax= from the point

( )6 ,0a is


Narayana CO Schools

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SECTION – II (49 TO 58) (MULTIPLE CORRECT CHOICE TYPE)

This section contains 10 multiple choice questions. Each question has 4 options (A), (B), (C)

and (D) for its answer, out of which ONE OR MORE than ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and -2 in all other cases.

49. Let the equation of the ellipse be ( ) ( )2 2

4 3 2 9 3 1 54.x y x y− + + + + =

Then which of the following is/are correct?

A) Length of major axis is 3

35

B) Length of minor axis is 3

25

C) Centre of ellipse is 1 1

,2 2

−

D) Equations of directrices are 3

3 2 910

x y− = −

50. Normals are drawn to a parabola at the points ( )0,0 and ( )3, 1−

intersect at ( )1,1 . Then

A) Equation of directrix is 3 8 0x y− − =

B) Slope of axis is 3−

C) Focus is 12 4

,5 5

−

D) Slope of tangent at vertex is 1

3−

51. Let ( )1 1,P x y and ( )2 2 1 2, , 0, 0Q x y y y be end points of latusrectum

of the ellipse 2 24 4.x y+ = The equations of parabolas with

latusrectum PQ are

A) 2 2 3 3 3x y+ = + B) 2 2 3 3 3x y− = +

C) 2 2 3 3 3x y+ = − D) 2 2 3 3 3x y− = −


Narayana CO Schools

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52. Let the equation of the ellipse be ( ) ( ) ( )2 2 2

18 1 1 4 2 .x y x y − + + = + +

Then which of the following are correct?

A) Focus is ( )1, 1− B) Directrix is 2 0x y+ + =

C) Eccentricity is 2

3 D) Centre is

9 1,

5 5

−

53. The minimum area of circle which touches the parabolas 2 1y x= +

and 2 1y x= − is k. Then which of the following is/are incorrect?

A) 4

k

= B) 9

32k

= C)

3

8k

= D)

5

32k

=

54. Extremities of the latus rectum of the ellipse ( )2 2

2 21

x ya b

a b+ = having

a given major axis 2a lies on

A) ( )2x a a y= − B) ( )2x a a y= +

C) ( )2y a a x= + D) ( )2y a a x= −

55. The distance of a point on the ellipse 2 2

16 2

x y+ = from the centre is

2. Then the eccentric angles are

A) 4

B)

3

4

C)

5

4

D)

7

4

56. Three normals are drawn from the point ( )14,7 to the curve

2 16 8 0.y x y− − = Then the coordinates of the feet of the normals are

A) ( )3, 4− B) ( )8,16 C) ( )0,0 D) ( )2, 2

57. The set of points on the axis of the parabola ( )2 1

2 42

y x

− = −

from

which three distinct normals can be drawn to the parabola are

A) ( )3,2 B) ( )1,2 C) ( )4, 2 D) ( )5, 2


Narayana CO Schools

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58. PQ is a double ordinate of the parabola 2 4 .y ax= If the normal at P

intersect the line passing through Q and parallel to x-axis at G, the

locus of G is a parabola with

A) vertex at ( )4 ,0a B) focus at ( )5 ,0a

C) directrix as the line 3 0x a− = D) length of latus rectum is 4a

SECTION – III (59 TO 60)

(MATRIX MATCHING LIST TYPE)


given in Column I and four statements (P, Q, R, S& T) in Column II. Any given statement

in Column I can have correct matching with ONE or MORE statement(s) given in

Column II.


Q and R, then for the particular question darken the bubbles corresponding to Q and

R in the OMR sheet. For each correct matching will be awarded +2 marks ONLY and



Column-I Column-II

A) The eccentricity of the ellipse

2 29 16 576x y+ = is P)

3

5

B)

The centre of the ellipse

( ) ( )2 2

21

9 16

x y x y+ − −+ = is

Q) ( )1, 1− −

C)

In an ellipse ( )2 2

2 21,

x ya b

a b+ = the

distance between its foci is 6 and

minor axis is 8. Then its

eccentricity is

R) 3

2

D) The eccentricity of the ellipse

2 24 2 16 13 0x y x y+ + + + = is S)

7

4

T) ( )1,1


Narayana CO Schools

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60. Three normals are drawn from ( )3,0 to the parabola 2 4y x= which

meet the parabola at points , , .P Q R Then match the following.

Column-I Column-II

A) Area of PQR is (in sq. units) P) 2

B) Radius of circumcircle of PQR is Q) 5

2

C) Centroid of PQR is R) 5

,02

D) Circumcentre of PQR is S) ( )0,0

T) 2

,03

"Focus on the possibilities for Success, not on the potential for failure"

class: sz1-a jee-adv (2015-p1) model date: 14-06-2020 time ...€¦ ·...

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