JEE-ADVANCED SERIES

Physics

Waves And Oscillations

29 previous year questions.

Volume: 29 Ques

Yield: High

High-Yield Trend

4

2025

5

2023

1

2022

2

2015

2

2011

2

2009

1

2006

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2005

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2004

1

2003

1

2002

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2001

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2000

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1999

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1998

Chapter Questions
29 MCQs

01

PYQ 1987

medium

physics ID: jee-adva

A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is

1

f/2

2

f

3

2f

4

4f

02

PYQ 1988

easy

physics ID: jee-adva

Two bodies M and N of equal masses are suspended from two separate massless springs of spring constants kx and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the one amplitude of vibration of M to that of N is

1

2

3

4

03

PYQ 1990

easy

physics ID: jee-adva

A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half-submerged in a liquid of density p at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating vertically with a small amplitude. If the force constant of the spring is k, the frequency of oscillation of the cylinder is

1

2

3

4

04

PYQ 1993

medium

physics ID: jee-adva

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to a massless spring of spring constant k. A mass m hangs freely from the free end of the spring. The area of cross-section and the Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

1

2

3

4

05

PYQ 1998

medium

physics ID: jee-adva

A particle of mass m is executing oscillation about the origin on the x-axis. Its potential energy is where k is a positive constant. If the amplitude of oscillation is a, then its time period T is

1

proportional to

2

independent of a

3

proportional to

4

proportional to

06

PYQ 1999

easy

physics ID: jee-adva

A spring of force constant is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

1

2

3

3k

4

6k

07

PYQ 2000

medium

physics ID: jee-adva

The period of oscillation of simple pendulum of length suspended from the roof of the vehicle which moves without friction, down an inclined plane of inclination, is given by

1

2

3

4

08

PYQ 2001

medium

physics ID: jee-adva

A particle executes simple harmonic motion between x = - A and x = + A. The time taken for it to go fromO to A /2 is and to go from then

1

2

3

4

09

PYQ 2002

medium

physics ID: jee-adva

A small block is connected to one end of a massless spring of unstretched length 4.9 m. The other end of the spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2 m and released from rest at t = 0. It then executes simple harmonic motion with angular frequency to = rad/s. Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45 as shown in the figure. Point P is at a horizontal distance of 10 m from O. If the pebble hits the block at / = 1 s, the value of v is

1

2

3

4

10

PYQ 2003

medium

physics ID: jee-adva

For a particle executing SHM the displacement x is given by x = A cos . Identify the graph which represents the variation of potential energy (PE) as a function of time t and displacement x.

1

I, III

2

II, IV

3

II, III

4

I, IV

11

PYQ 2004

medium

physics ID: jee-adva

A block P of mass m is placed on a horizontal frictionless plane. A second block of same mass m is placed on it and is connected to a spring of spring constant k, the two blocks are pulled by a distance A. Block Q oscillates without slipping. What is the maximum value of frictional force between the two blocks?

1

2

kA

3

4

Zero

12

PYQ 2005

medium

physics ID: jee-adva

A simple pendulum has time period . The point of suspension is now moved upward according to the relation where y is the vertical displacement. The time period now becomes . The ratio of is

1

44717

2

44687

3

1

4

44656

13

PYQ 2006

medium

physics ID: jee-adva

Function represents SHM

1

For any value of A , B and C (except C = 0)

2

If

3

If

4

If

14

PYQ 2009

medium

physics ID: jee-adva

The mass shown in the figure oscillates in simple harmonic motion with amplitude . The amplitude of the point is

1

2

3

4

15

PYQ 2009

medium

physics ID: jee-adva

A uniform rod of length and mass is pivoted at the centre. Its two ends are attached to two springs of equal spring constants . The springs are fixed to rigid supports as shown in the figure, and rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle in one direction and released. The frequency of oscillation is

1

2

3

4

16

PYQ 2011

medium

physics ID: jee-adva

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, and Adding a third sinusoidal displacement brings the mass to a complete rest. The values of B and are

1

2

3

4

17

PYQ 2011

medium

physics ID: jee-adva

A wooden block performs SHM on a frictionless surface with frequency . The block carries a charge on its surface. If now a uniform electric field is switched-on as shown, then the of the block will be

1

of the same frequency and with shifted mean position

2

of the same frequency and with the same mean position

3

of changed frequency and with shifted mean position

4

of changed frequency and with the same mean position

18

PYQ 2015

easy

physics ID: jee-adva

For a simple pendulum, a graph is plotted between its Kinetic Energy (KE) and Potential Energy (PE) against its displacement d. Which one of the following represents these correctly? (graphs are schematic and not drawn to scale)

1

2

3

4

19

PYQ 2015

medium

physics ID: jee-adva

Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies and and have total energies and, respectively. The variations of their momenta p with positions x are shown in the figures. If and then the correct equation(s) is(are)

1

2

3

4

20

PYQ 2022

medium

physics ID: jee-adva

On a frictionless horizontal plane, a bob of mass is attached to a spring with natural length . The spring constant is when the length of the spring and is when . Initially the bob is released from . Assume that Hooke's law remains valid throughout the motion. If the time period of the full oscillation is, then the integer closest to is ______

21

PYQ 2023

easy

physics ID: jee-adva

Two small particles of mass 20 gm and 30 gm are connected with a rigid massless rod of length of 10 cm. The system's center of mass is suspended by a steel wire of torsional spring constant N.m/rad. If the system is slightly rotated in its plane and the angular frequency of its oscillations in rad/sec is, then write the value of n.

22

PYQ 2023

easy

physics ID: jee-adva

A series LCR circuit is connected to a 45 sin (ωt) volt source. The resonant angular frequency of the circuit is 10 5 rad/sec and the current amplitude at resonance is I 0 . When the angular frequency of the source is ω = 8 x 10 4 rad/sec, the current amplitude in the circuit is 0.05 I 0 . If m = 50 mH, match each entry in the list - I with an approximate value from list - II and choose the option. List - I List - II (P) I 0 in mA (1) 44.4 (Q) The quality factor of the circuit (2) 18 (R) The bandwidth of the circuit in rad/sec (3) 400 (S) The peak power dissipated at resonance in watt (4) 2250 (5) 500

1

P Q R S 4321

2

P Q R S 2134

3

P Q R S 3125

4

P Q R S 3142

23

PYQ 2023

hard

physics ID: jee-adva

Two point-like objects of masses 20 gm and 30 gm are fixed at the two ends of a rigid massless rod of length 10 cm. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is 1.2 \times 10 -8 N m rad -1. The angular frequency of the oscillations in 𝑛 \times 10 -3 rad s -1 . The value of 𝑛 is _____.

24

PYQ 2023

medium

physics ID: jee-adva

Two small particles of mass 20 gm and 30 gm are connected with a rigid massless rod of length of 10 cm. The system's center of mass is suspended by a steel wire of torsional spring constant N.m/rad. If the system is slightly rotated in its plane and the angular frequency of its oscillations in rad/sec is, then write the value of n.

25

PYQ 2023

medium

physics ID: jee-adva

Two point-like objects of masses 20 gm and 30 gm are fixed at the two ends of a rigid massless rod of length 10 cm. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is 1.2 \times 10 -8 N m rad -1. The angular frequency of the oscillations in 𝑛 \times 10 -3 rad s -1 . The value of 𝑛 is _____.

26

PYQ 2025

easy

physics ID: jee-adva

As shown in the figures, a uniform rod of length is hinged at the point and held in place vertically between two walls using two massless springs of the same spring constant. The springs are connected at the midpoint and at the top-end of the rod, as shown in Fig. 1, and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is . On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2, and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is . Ignoring gravity and assuming motion only in the plane of the diagram, the value of is:

1

2

3

4

27

PYQ 2025

medium

physics ID: jee-adva

An audio transmitter (T) and a receiver (R) are hung vertically from two identical massless strings of length 8 m with their pivots well separated along the axis. They are pulled from the equilibrium position in opposite directions along the axis by a small angular amplitude and released simultaneously. If the natural frequency of the transmitter is 660 Hz and the speed of sound in air is 330 m/s, the maximum variation in the frequency (in Hz) as measured by the receiver (Take the acceleration due to gravity) is ___

28

PYQ 2025

hard

physics ID: jee-adva

The center of a disk of radius and mass is attached to a spring of spring constant, inside a ring of radius as shown in the figure. The other end of the spring is attached on the periphery of the ring. Both the ring and the disk are in the same vertical plane. The disk can only roll along the inside periphery of the ring, without slipping. The spring can only be stretched or compressed along the periphery of the ring, following Hooke’s law. In equilibrium, the disk is at the bottom of the ring. Assuming small displacement of the disc, the time period of oscillation of center of mass of the disk is written as . The correct expression for is (is the acceleration due to gravity):

1

2

3

4

\bigskip

29

PYQ 2025

medium

physics ID: jee-adva

An audio transmitter (T) and a receiver (R) are hung vertically from two identical massless strings of length 8 m with their pivots well separated along the axis. They are pulled from the equilibrium position in opposite directions along the axis by a small angular amplitude and released simultaneously. If the natural frequency of the transmitter is 660 Hz and the speed of sound in air is 330 m/s, the maximum variation in the frequency (in Hz) as measured by the receiver (Take the acceleration due to gravity) is ___