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Shm Questions

Practice 37 Shm questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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37

Total Questions

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10

Easy

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21

Medium

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6

Hard

Practice by Exam:Physics(36)PHYSICS(1)

About shm — practice questions, PYQs & concepts

shm is a frequently-tested topic on Physics, PHYSICS. ExamTest.live currently lists 37 shm questions spanning previous-year papers from 2026 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

shm weight in competitive exams

Across our shm question bank, the largest sources are Physics (36) and PHYSICS (1). Click any exam chip above to drill down to that exam-specific question set.

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Start easy: 10 easy shm questions are available — build fluency before moving up.
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All Shm Questions(1–37 of 37)

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Q1easymcqPhysicsAIEEE 20042026

50% accuracy

The total energy of a particle executing simple harmonic motion is:

Q2mediummcqPhysicsAIEEE 20042026

50% accuracy

A particle at the end of a spring executes simple harmonic motion with a period t_{1}, while the corresponding period for another spring is t_{2} . If the period of oscillation with the two springs in series is T, then:

Q3easymcqPhysicsNEET 20192026

0% accuracy

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

Q4hardmcqPhysicsAIEEE 20062026

0% accuracy

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency ω . The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time:

Q5easymcqPhysicsAIEEE 20062026

0% accuracy

The maximum velocity of a particle executing simple harmonic motion with an amplitude 7 mm is 4.4 m/s . The period of oscillation is:

Q6hardmcqPhysicsAIEEE 20062026

0% accuracy

Starting from the origin, a body oscillates simple harmonically with a period of 2 s . After what time will its kinetic energy be 75% of the total energy?

Q7mediummcqPhysicsNEET 20192026

0% accuracy

The displacement of a particle executing simple harmonic motion is given by y = A_{0} + A sin ω t + B cos ω t . Then the amplitude of its oscillation is given by:

Q8hardmcqPhysicsNEET 20222026

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 vibrations of the shorter pendulum after which the two are again in phase at the mean position is:

Q9mediummcqPhysicsNEET 20212026

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:

Q10hardmcqPhysicsNEET 20232026

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:

Q11easymcqPhysicsNEET (UG) 20242026

If x = 5 sin (π t + \frac{π}{3}) m represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion respectively, are:

Q12easymcqPhysicsAIEEE 20032026

A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as function of displacement x . Which of the following statement is true?

Q13mediummcqPhysicsAIEEE 20032026

The displacement of a particle varies according to the relation x = 4 (cos π t + sin π t) . The amplitude of the particle is:

Q14mediummcqPhysicsAIEEE 20032026

Two particles A and B of equal masses are suspended from two massless springs of spring constants k_{1} and k_{2} respectively. If the maximum velocities during oscillations are equal, the ratio of amplitudes of A and B is:

Q15mediummcqPhysicsAIEEE 20032026

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T . If the mass is increased by m, the time period becomes 5 T /3 . Then the ratio m / M is:

Q16mediummcqPhysicsAIEEE 20092026

If x, v and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then, which of the following does not change with time?

Q17mediummcqPhysicsFIITJEE AIEEE 2011 (Set Q)2026

Two particles are executing simple harmonic motion of the same amplitude A and frequency ω along the x -axis. Their mean position is separated by distance X_{0} (X_{0} > A). If the maximum separation between them is (X_{0} + A), the phase difference between their motion is:

Q18mediummcqPhysicsFIITJEE AIEEE 2011 (Set Q)2026

A mass M, attached to a horizontal spring, executes S.H.M. with amplitude A_{1} . When the mass M passes through its mean position then a smaller mass m is placed over it and both of them move together with amplitude A_{2} . The ratio of \frac{A _{1}}{A _{2}} is:

Q19mediummcqPhysicsJEE Main2026

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 σ at equilibrium position. The extension x_{0} of the spring when it is in equilibrium is:

Q20mediummcqPhysicsJEE Main2026

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M . The piston and cylinder have equal cross sectional area A . When the piston is in equilibrium, the volume of the gas is V_{0} and its pressure is P_{0} . The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency:

Q21easymcqPhysicsNEET 2020 E12026

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

Q22easymcqPHYSICSNEET 20192026

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

Q23mediummcqPhysicsNEET 20172026

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 its acceleration. Then its time period in seconds is:

Q24mediummcqPhysicsNEET 20212026

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

Q25mediummcqPhysicsPhysics

0% accuracy

Out of the following functions representing motion of a particle, which represents SHM?(A) y = sin ω t - cos ω t (B) y = sin^{3} ω t (C) y = 5 cos (\frac{3 π}{4} - 3 ω t) (D) y = 1 + ω t + ω^{2} t^{2}

Q26mediummcqPhysicsPhysics

0% accuracy

A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time?

Q27mediummcqPhysicsPhysics

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

Q28mediummcqPhysicsPhysics

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 the equilibrium position is:

Q29hardmcqPhysicsPhysics

The particle executing simple harmonic motion has a kinetic energy K_{0} cos^{2} ω t . The maximum values of the potential energy and the total energy are respectively:

Q30mediummcqPhysicsPhysics

A mass of 2.0 kg is put on a flat pan attached to a vertical spring. The spring constant is 200 N/m . What should be the minimum amplitude of the motion, so that the mass gets detached from the pan? (g = 10 m/s^{2})

Q31easymcqPhysicsPhysics

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is:

Q32mediummcqPhysicsPhysics

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

Q33hardmcqPhysicsPhysics

A point performs simple harmonic oscillation of period and the equation of motion is given by . After the elapse of what fraction of the time period will the velocity of the point be equal to half of its maximum velocity?

Q34mediummcqPhysicsPhysics

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:

Q35easymcqPhysicsPhysics

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

Q36easymcqPhysicsPhysics

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:

Q37mediummcqPhysicsPhysics

Which of the following functions represents a simple harmonic oscillation?

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