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Oscillations — NEET UG Physics PYQs

350 previous year questions from Oscillations with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

350 questionsPhysicsSolutions on every page
1

A simple pendulum oscillating in air has a period of 3 second. If it is immersed in a non-viscous liquid, having density = ( 1 x ) , where is the density of the material of the bob

MHT CET Medical 2026 Solution View → 2

Identify the equation that DOES NOT represent oscillatory motion. ( A is amplitude of motion)

MHT CET Medical 2026 Solution View → 3

The potential energy of a simple harmonic oscillator when the particle is at 3 4 A , is ( A is the amplitude of oscillation and E is the total energy of the oscillator)

MHT CET Medical 2026 Solution View → 4

Two SHM's x₁ = a ( t + 3 2 ) and x₂ = a ( t + ) are superimposed on each other. The resultant amplitude of motion is ( /2 = 1 and /2 = 0)

MHT CET Medical 2026 Solution View → 5

The average acceleration of a particle performing S.H.M. over two complete oscillations is (A = amplitude, = angular frequency)

MHT CET Medical 2026 Solution View → 6

The periodic time of a simple pendulum, (the simple pendulum with its bob is in air) is T. But if the bob of the simple pendulum is completely immersed in a non viscous liquid, who

MHT CET Medical 2026 Solution View → 7

The graph shows variation of displacement of a particle performing SHM with time t. which of the following statements is correct from the graph?

MHT CET Medical 2026 Solution View → 8

Two particles A and B execute S.H.M.s of periods T and 5T 2 . If they start from the mean position, then the phase difference between them when the particle A completes two oscilla

MHT CET Medical 2026 Solution View → 9

A body is suspended from the two light springs separately. The periods of vertical oscillations are T and 3T respectively. The same body is suspended from two springs connected fir

MHT CET Medical 2026 Solution View → 10

If the length of seconds pendulum on the surface of the earth is 1 m. The length of the seconds pendulum on the surface of the planet is g_ planet = 7 2 g_ earth periodic time of t

MHT CET Medical 2026 Solution View → 11

Particle performs simple harmonic motion with amplitude A. Its speed is tripled at the instant that is at a distance 2A 3 from the equilibrium position. The new amplitude of the mo

MHT CET Medical 2026 Solution View → 12

A bob of a simple pendulum has a speed of 3 m/s at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of (60)^ with the vertical,

MHT CET Medical 2026 Solution View → 13

A body of mass 1 kg is performing linear SHM. Its displacement x (cm) at t (s) is given by x=6 (100t+ 4 ) . Maximum kinetic energy of the body is

MHT CET Medical 2026 Solution View → 14

The U tube of uniform bore of cross-sectional area A has been set up vertically with open ends facing up. Now M gram of a liquid of density d is poured into it. The column of liqui

MHT CET Medical 2026 Solution View → 15

A pendulum clock is running slow. In order to correct it, we should a. reduce the amplitude of the oscillation. b. increase the mass of the bob. c. reduce the length of the pendulu

MHT CET Medical 2026 Solution View → 16

A particle executes S.H.M. between x = -A and x = +A . The time taken for it to go from mean position O to A 2 is T₁ and to go from A 2 to A is T₂ , then ( 30^ = 1/2 , 90^ = 1 )

MHT CET Medical 2026 Solution View → 17

The body of mass M is performing S.H.M. as shown in the figure. The periodic time ' T ' of oscillation of a given system is

MHT CET Medical 2026 Solution View → 18

When a particle in linear S.H.M. completes two oscillations, its phase changes by

MHT CET Medical 2026 Solution View → 19

There is a large difference between the frequencies of the external periodic force and the natural frequency of a body. The body will

MHT CET Medical 2026 Solution View → 20

The phase of a particle performing a linear S.H.M increases by ^c 6 after every 5 second. The frequency of its oscillation is

MHT CET Medical 2026 Solution View → 21

A particle executes a linear S.H.M of amplitude 3 cm. When it is at 1 cm from the mean position, the magnitude of its velocity is half that of its acceleration at the point. The ma

MHT CET Medical 2026 Solution View → 22

If the maximum velocity in S.H.M. is 'V' then the average velocity during motion from one extreme to other extreme position will be

MHT CET Medical 2026 Solution View → 23

A simple pendulum having length l and mass 'm' is suspended between two plates having uniform electric field 'E' as shown in figure. The bob is given a charge q . The time period '

MHT CET Medical 2026 Solution View → 24

In an oscillating LC circuit, the maximum charge on the capacitor is Q. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor is q

MHT CET Medical 2026 Solution View → 25

The displacement time (x-t) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration fo the particle at t = 1 s is

MHT CET Medical 2026 Solution View → 26

The frequency of small oscillations of thin uniform vertical rod of mass 'm' and length 'l' hinged at point O with the help of two springs with spring constants k₁ and k₂ , is

MHT CET Medical 2026 Solution View → 27

A particle starts oscillating simple harmonically from its mean position with time period ' T '. At time t = T 12 , the ratio of the potential energy to kinetic energy of the parti

MHT CET Medical 2026 Solution View → 28

For a particle executing simple harmonic motion , which of the following statements is NOT correct?

MHT CET Medical 2026 Solution View → 29

The bob of simple pendulum performs S.H.M. with a frequency 'n' in air and with frequency 'n₁' in water. If the density of the material of bob is 'x' g / cc and the ratio n / n₁ is

MHT CET Medical 2026 Solution View → 30

If the kinetic energy of simple pendulum is 1 4 of its total energy, then the displacement ( x ) and amplitude ( A ) are related as

MHT CET Medical 2026 Solution View → 31

The displacement of two identical particles performing S.H.M are represented by equation x₁ = 6 ( 5t + /4) and x₂ = 4 t . The energies of both the particles will be same, if the va

MHT CET Medical 2026 Solution View → 32

Savitha, a XI standard student, while conducting an experiment to determine the effective length of a simple pendulum L, notes down the data of time taken to complete 30 oscillatio

NEET 2026 Solution View → 33

A cylindrical cork of uniform density floats in a liquid of density ₁ . If the cork is depressed slightly and released, it oscillates harmonically with time period T. If the same c

NEET 2026 Solution View → 34

For a simple pendulum, having time period T , the variation of kinetic energy (K.E.) with time (t) is represented by :

NEET 2026 Solution View → 35

The sum of kinetic energy and potential energy of a simple pendulum bob is 0.02 joule. The speed of the simple pendulum bob at equilibrium position is approximately : (Consider mas

NEET 2026 Solution View → 36

Two identical point masses P and Q , suspended from two separate massless springs of spring constants k ₁ and k ₂ , respectively, oscillate vertically. If their maximum speeds are

NEET 2025 Solution View → 37

In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average freque

NEET 2025 Solution View → 38

The two-dimensional motion of a particle, described by r =( i +2 j ) A t is a/an: A. parabolic path B. elliptical path C. periodic motion D. simple harmonic motion Choose the corre

NEET 2024 Solution View → 39

Let ₁, ₂ and ₃ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If x₁, x₂ and x₃ are their respective angular di

NEET 2024 Solution View → 40

If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is x 2

NEET 2024 Solution View → 41

If x=5 ( t+ 3 ) m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively, are

NEET 2024 Solution View → 42

A particle executing simple harmonic motion with amplitude A has the same potential and kinetic energies at the displacement

NEET 2024 Solution View → 43

A simple pendulum oscillating in air has a period of 3 ~s . If it is completely immersed in non-viscous liquid, having density ( 1 4 )^ th of the material of the bob, the new perio

NEET 2023 Solution View → 44

The x - t graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at t = 2   s is:

NEET 2023 Solution View → 45

Match List - I with List - II: Choose the correct answer from the options given below:

NEET 2022 Solution View → 46

Identify the function which represents a nonperiodic motion.

NEET 2022 Solution View → 47

Two pendulums of length 121   cm and 100   cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibra

NEET 2022 Solution View → 48

A body is executing simple harmonic motion with frequency n , the frequency of its potential energy is

NEET 2021 Solution View → 49

A spring is stretched by 5   cm by a force 10   N . The time period of the oscillations when a mass of 2   kg is suspended by it is :

NEET 2021 Solution View → 50

Identify the function which represents a periodic motion

NEET 2020 Solution View → 51

The phase difference between displacement and acceleration of a particle in a simple harmonic motion is:

NEET 2020 Solution View → 52

Maximum acceleration in SHM

JIPMER 2019 Solution View → 53

The distance covered by a particle undergoing SHM in one time period is ( amplitude = A )

NEET 2019 Solution View → 54

A truck is stationary and has a bob suspended by a light string, in a frame attached to the truck. The truck, suddenly moves to the right with an acceleration of a. The pendulum wi

NEET 2019 Solution View → 55

A mass falls from a height ' h ' and its time of fall ' t ' is recorded in terms of time period T of a simple pendulum. On the surface of earth it is found that t=2 ~T . The entire

NEET 2019 Solution View → 56

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure. y -projection of the radius vector of rotating particle P is

NEET 2019 Solution View → 57

Average velocity of a particle executing SHM in one complete vibration is

NEET 2019 Solution View → 58

The displacement of a particle executing simple harmonic motion is given by, y = A 0 + A s i n ω t + B c o s ω t . Then, the amplitude of its oscillation is given by

NEET 2019 Solution View → 59

Y=5 2 (100 t-2 x) , what is time period?

JIPMER 2018 Solution View → 60

A mass of Hg is executing SHM which is given by x=6.0 (100 t+ 4 ) cm . What is the maximum kinetic energy?

JIPMER 2018 Solution View → 61

A particle doing SHM having amplitude 5 cm , mass 0.5 kg and angular frequency 5 rad / s is at 1 cm from mean position. Find potential energy and kinetic energy.

JIPMER 2018 Solution View → 62

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 2

NEET 2018 Solution View → 63

A solid cylinder is attached to a horizontal massless spring as shown in figure. If the cylinder rolls without slipping, the time period of oscillation of the cylinder is

JIPMER 2017 Solution View → 64

The displacement of a particle along the x -axis is given by x=a ^2 t . The motion of the particle corresponds to

JIPMER 2017 Solution View → 65

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of

NEET 2017 Solution View → 66

A pan with a set of weights is attached to a light spring. The period of vertical oscillation is 0.5 s . When some additional weights are put in pan, then the period of oscillation

JIPMER 2016 Solution View → 67

A body of mass, m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscill

NEET 2016 Solution View → 68

A particle is subjected to two simple harmonic motions along X -axis while other is along a line making angle 45^ with the X -axis. The two motions are given by x=x₀ t and s=s₀ t .

JIPMER 2015 Solution View → 69

Figure shows spring + block + pulley system which are light. The time period of mass would be

JIPMER 2015 Solution View → 70

A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β . Then, its time period of vibration will be:

NEET 2015 Solution View → 71

A particle is executing SHM along a straight line. Its velocities at distances x 1 and x 2 from the mean position are V 1 and V 2 respectively. Its time period is:

NEET 2015 Solution View → 72

When two displacements represented by y 1 = a   s i n ⁡ ( ω t ) and y 2 = b cos ⁡ ω t are superimposed the motion is:

NEET 2015 Solution View → 73

A mass of 1 kg is suspended from a spring of force constant 400 N , executing SHM total energy of the body is 2 J , then maximum acceleration of the spring will be

JIPMER 2014 Solution View → 74

The oscillation of a body on a smooth horizontal surface is represented by the equation, X = A cos ⁡ ω t , where X = displacement at time t , ω =   frequency o

NEET 2014 Solution View → 75

Two equal negative charges -q are fixed at the point (0, a) and (0,-a) on the y -axis. A positive charge Q is released from rest at the point (2 a, 0) on the x -axis. The charge wi

JIPMER 2013 Solution View → 76

Two simple pendulums of length 0.5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum

JIPMER 2013 Solution View → 77

A particle of mass m oscillates along x -axis according to equation x=a sin t . The nature of the graph between momentum and displacement of the particle is:

NEET 2013 Solution View → 78

The equation of a simple harmonic wave is given by y=3 2 (50 t-x) where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

NEET 2012 Solution View → 79

Out of the following functions representing motion of a particle which represents SHM I. y= t- t II. y= ^3 t III. y=5 ( 3 4 -3 t ) IV. y=1+ t+ ^2 t^2

NEET 2011 Solution View → 80

Two particle are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when

NEET 2011 Solution View → 81

The displacement of a particle along the x axis is given by x = a ^2 t . The motion of the particle corresponds to

NEET 2010 Solution View → 82

The period of oscillation of a mass M suspended from a spring of negligible mass is T . If along with it another mass M is also suspended, the period of oscillation will now be

NEET 2010 Solution View → 83

A particle executes simple harmonic oscillation with an amplitude a . The period of oscillation is T . The minimum time taken by the particle to travel half of the amplitude from t

JIPMER 2009 Solution View → 84

A simple pendulum performs simple harmonic motion about x =0 with an amplitude a and time period T . The speed of the pendulum at x = a 2 will be

NEET 2009 Solution View → 85

Which one of the following equations of motion represents simple harmonic motion?

NEET 2009 Solution View → 86

Which one of the following equations of motion represents simple harmonic motion? Where k , k ₀, k ₁ and a are all positive

NEET 2009 Solution View → 87

A simple pendulum performs simple harmonic motion about x =0 with an amplitude a and time period T. The speed of the pendulum at x = a / 2 will be :

NEET 2009 Solution View → 88

A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a ( t+ 6 ) . After the elapse of what fraction of the time period the velocity of

NEET 2008 Solution View → 89

Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s ⁻¹ have the same displacement amplitude. The ratio of their maximum accelerations is

NEET 2008 Solution View → 90

Two simple harmonic motions of angular frequency 100 rad/s and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is

NEET 2008 Solution View → 91

A point performs simple harmonic oscillation of period T and the equation of motion is given by x=a (w t+ / 6) . After the elapse of what fraction of the time period the velocity o

NEET 2008 Solution View → 92

The circular motion of a particle with constant speed is

JIPMER 2007 Solution View → 93

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 ~cm / s . The frequency of its oscillation is

JIPMER 2007 Solution View → 94

The particle executing simple harmonic motion has a kinetic energy K₀ ^2 t . The maximum values of the potential energy and the total energy are respectively.

NEET 2007 Solution View → 95

A mass of 2.0 ~kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slig

NEET 2007 Solution View → 96

A particle executes simple harmonic oscillation with an amplitude a . The period of oscillation is T . The minimum time taken by the particle to travel half of the amplitude from t

NEET 2007 Solution View → 97

A pendulum is undergoing SHM with frequency f . What is the frequency of its kinetic energy ?

JIPMER 2006 Solution View → 98

If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period becomes :

JIPMER 2006 Solution View → 99

A particle is executing the motion x=a ( t- ) . The velocity of the particle is

JIPMER 2005 Solution View → 100

A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of 2 . The path of the particle will be

JIPMER 2005 Solution View → 101

A simple pendulum of length l has a maximum angular displacement . The maximum kinetic energy of the bob is

JIPMER 2005 Solution View → 102

A particle executing simple harmonic motion of amplitude 5 ~cm has maximum speed of 31.4 ~cm / s . The frequency of its oscillation is:

NEET 2005 Solution View → 103

The spring extends by x on loading, then energy stored by the spring is (if T is the tension in spring and k is spring constant)

JIPMER 2004 Solution View → 104

Which one of the following statements is true for the speed v and the acceleration a of particle executing simple harmonic motion?

NEET 2004 Solution View → 105

The time period of mass suspended from a spring is T . If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period wil

NEET 2003 Solution View → 106

A particle of mass m oscillates with simple harmonic motion between points x₁ and x₂ , the equilibrium position being O . Its potential energy is plotted. It will be as given below

NEET 2003 Solution View → 107

The potential energy of a simple harmonic oscillator when the particle is half way to its end point is: where E energy is the total energy

NEET 2003 Solution View → 108

In the case of a simple pendulum executing SHM at t=0 , the bob is not at the mean position. The graph drawn between the tension (T) in the string and time (t) is

NEET Solution View → 109

In the case of a simple pendulum executing SHM , at t = 0 , the bob is not at the mean position. The graph drawn between the tension T in the string and time t is

NEET Solution View → 110

For a particle executing simple harmonic motion, the displacement-time (x-t) graph is as shown in the figure. The acceleration of the particle at t= 4 3 ~s is

NEET Solution View → 111

The variation of potential energy of a harmonic oscillator is as shown in the figure. Then, find the spring constant.

NEET Solution View → 112

The kinetic energy, K of a body performing simple harmonic motion varies with time t , is indicated in graph

NEET Solution View → 113

The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by

NEET Solution View → 114

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t= 4 3 ~s is

NEET Solution View → 115

Paragraph: When a particle of mass m moves on the x -axis in a potential of the form V(x)=k x^2 , it performs simple harmonic motion. The corresponding time period is proportional

NEET Solution View → 116

Paragraph: When a particle of mass m moves on the x -axis in a potential of the form V(x)=k x^2 , it performs simple harmonic motion. The corresponding time period is proportional

NEET Solution View → 117

Paragraph: When a particle of mass m moves on the x -axis in a potential of the form V(x)=k x^2 , it performs simple harmonic motion. The corresponding time period is proportional

NEET Solution View → 118

Paragraph: Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and

NEET Solution View → 119

The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement ( x ) starting from mean position to extreme position ( A ) is given by

NEET Solution View → 120

Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean position?

NEET Solution View →
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