Simple Harmonic Motion — JEE Main PYQs & Practice Questions

Simple Harmonic Motion is a Physics chapter in the JEE Main syllabus. This page brings together 141 previous-year and practice questions on Simple Harmonic Motion, organised into 6 topics: Equation of SHM, Energy in SHM, Spring-Mass Systems, Pendulums, Superposition of SHMs and Damped and Forced Oscillations. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Simple Harmonic Motion JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Equation of SHM

• A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm…
• The velocity of a particle executing SHM varies with displacement (x) as 4 v²=50-x². The…
• A particle executes simple harmonic motion represented by displacement function as x(t)…
• A particle executes S.H.M., the graph of velocity as a function of displacement is :
• The position, velocity and acceleration of a particle executing simple harmonic motion…
• Given below are two statements. One is labelled as Assertion (A) and the other is…
• When a particle executes SHM, the nature of graphical representation of velocity as a…
• The function of time representing a simple harmonic motion with a period of π/ω is :
• A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the…
• Two simple harmonic motions are represented by the equations x₁ = 5 sin ( 2π t + π/4 )…
• In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to…
• Two identical positive charges Q each are fixed at a distance of '2a' apart from each…
• A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is…
• A particle is making simple harmonic motion along the X-axis. If at a distances x₁ and…
• The equation of motion of a particle is given by x=a sin (50t+π/3) cm. The particle will…
• A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s…
• The equation of a particle executing simple harmonic motion is given by x = sin π ( t +…
• A particle performs simple harmonic motion with a period of 2 second. The time taken by…
• A particle is executing simple harmonic motion. Its amplitude is A and time period is 5…
• When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a…

Energy in SHM

• The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic…
• The variation of displacement with time of a particle executing free simple harmonic…
• In SHM, the potential energy is maximum at:
• In simple harmonic motion, the total mechanical energy of given system is E. If mass of…
• A particle executes SHM of amplitude A. The distance from the mean position when its's…
• The general displacement of a simple harmonic oscillator is x = A sin ω t. Let T be its…
• The displacement of a particle, executing simple harmonic motion with time period T, is…
• Which graph represents the difference between total energy and potential energy of a…
• The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency…
• A particle of mass 1 kg is hanging from a spring of force constant 100 Nm⁻¹. The mass is…
• The total energy of a body executing SHM with spring constant k and amplitude A is:
• At displacement x = A/2 from mean position in SHM, the ratio KE : PE is:
• For a body executing S.H.M. : (1) Potential energy is always equal to its K.E. (2)…
• When the displacement of a simple harmonic oscillator is one third of its amplitude, the…
• A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the…
• A particle is executing simple harmonic motion (SHM). The ratio of potential energy and…
• The variation of kinetic energy (KE) of a particle executing simple harmonic motion with…
• In a simple harmonic oscillation, what fraction of total mechanical energy is in the…
• For what value of displacement the kinetic energy and potential energy of a simple…
• An object of mass 0.2 kg executes simple harmonic motion along x axis with frequency of…

Spring-Mass Systems

• The frequency of oscillation of a mass m suspended by a spring is v₁. If the length of…
• As per the given figure, two blocks each of mass 250 g are connected to a spring of…
• As shown in the figure, a spring is kept in a stretched position with some extension by…
• Two blocks of masses m and M,(M>m), are placed on a frictionless table as shown in…
• A mass 0.9 kg, attached to a horizontal spring, executes SHM with an amplitude A₁. When…
• A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple…
• A block of mass 2 kg is attached to one end of a massless spring whose other end is…
• A block of mass m attached to a massless spring is performing oscillatory motion of…
• A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m…
• For a simple harmonic motion in a mass spring system shown, the surface is frictionless…
• Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at…
• A mass m is attached to two strings as shown in figure. The spring constants of two…
• A mass m is suspended from a spring of negligible mass and the system oscillates with a…
• The time period of simple harmonic motion of mass M in the given figure is π √((α M)/(5…
• In the given figure, a mass M is attached to a horizontal spring which is fixed on one…
• A cylindrical block of mass M and area of cross section A is floating in a liquid of…
• In figure (A), mass '2 m^' is fixed on mass 'm ' which is attached to two springs of…
• Consider two identical springs each of spring constant k and negligible mass compared to…
• A particle of mass 250 g executes a simple harmonic motion under a periodic force F=(-25…
• An object of mass m is suspended at the end of a massless wire of length L and area of…

Pendulums

• A simple pendulum of length L is released from rest at height h above the mean position…
• A uniform disc of radius R and mass M is free to oscillate about the axis A as shown in…
• A simple pendulum of string length 30 cm performs 20 oscillations in 10 s . The length…
• A pendulum is suspended by a string of length 250 cm. The mass of the bob of the…
• For small oscillations, the period of a simple pendulum depends on the mass of the bob.
• Given below are two statements : Statement I : A second's pendulum has a time period of…
• Choose the correct length (L) versus square of the time period (T²) graph for a simple…
• A ball suspended by a thread swings in a vertical plane so that its magnitude of…
• A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of…
• If R is the radius of the earth and the acceleration due to gravity on the surface of…
• A mass of 5 kg is connected to a spring. The potential energy curve of the simple…
• T₀ is the time period of a simple pendulum at a place. if the length of the pendulum is…
• Given below are two statements: one is labelled as Assertion (A) and the other is…
• A bob of mass 'm' suspended by a thread of length l undergoes simple harmonic…
• If the time period of a two meter long simple pendulum is 2s, the acceleration due to…
• Time period of a simple pendulum is T inside a lift when the lift is stationary. If the…
• A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane…
• A simple pendulum of length L has period T. If the length is quadrupled, the new period…
• Two simple pendulums having lengths l₁ and l₂ with negligible string mass undergo…
• A simple pendulum has a time period of 2 s. What is its length in cm? (Take g = π² m/s²)

Superposition of SHMs

• A particle is subjected to two simple harmonic motions as : x₁=√7 sin 5 tcm and x₂=2 √7…
• For a periodic motion represented by the equation y=sin ω t+cos ω t the amplitude of the…
• Motion of a particle in x-y plane is described by a set of following equations x = 4 sin…
• Two simple harmonic motion, are represented by the equations y₁ = 10 sin ( 3π t + π/3 )…
• Two waves executing simple harmonic motions travelling in the same direction with same…
• Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz…

Damped and Forced Oscillations

• Resonance in a forced oscillator occurs when:
• In the steady state of a forced oscillator, the frequency of oscillation equals the…
• The equation of motion of a damped harmonic oscillator subject to a damping force -bv is:
• At resonance (with light damping), the amplitude of a forced oscillator is:
• A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude…
• Amplitude of a mass-spring system, which is executing simple harmonic motion decreases…
• In a damped oscillator, the amplitude:
• Increasing the damping in a driven oscillator decreases the sharpness (Q-factor) of the…

More Physics chapters

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• Newton's Laws of Motion
• Friction
• Circular Motion
• Work, Energy & Power
• Centre of Mass & Linear Momentum
• Collision
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• Kinetic Theory of Gases
• Thermodynamics
• Heat Transfer
• Mechanical Waves
• Sound Waves
• Experimental Skills
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• Electromagnetic Induction
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• Atomic Physics
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Frequently asked questions

How many Simple Harmonic Motion questions are there for JEE Main?

PrepWiser has 141 Simple Harmonic Motion questions for JEE Main, grouped into 6 topics such as Equation of SHM, Energy in SHM and Spring-Mass Systems.

Are these Simple Harmonic Motion questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Simple Harmonic Motion questions?

Open any Simple Harmonic Motion question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.