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Energy in SHM for JEE: 28 solved questions

Real JEE paper questions on energy in shm, part of oscillations. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2002 to 2026. No sign-in needed to read them.

What this topic asks

• Kinetic, potential and total energy — 22 questions
• Energy graphs — 6 questions

All 28 questions with solutions

• A particle oscillates along the x-axis according to the law x(t)=x₀ sin²(t/2), where x₀=1 m. The kinetic ener… JEE Main 24th Jan 2nd Shift 2025
• In simple harmonic motion the total mechanical energy of a given system is E. If the mass of the oscillating… JEE Main 4th April 2nd Shift 2024
• The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement x,… JEE Main 11th April 1st Shift 2023
• A particle is executing simple harmonic motion (SHM). The ratio of potential energy to kinetic energy of the… JEE Main 12th April 1st Shift 2023
• Which graph represents the difference between total energy and potential energy of a particle executing SHM v… JEE Main 13th April 1st Shift 2023
• A particle executes SHM of amplitude A. The distance from the mean position when its kinetic energy becomes e… JEE Main 13th April 2nd Shift 2023
• The maximum potential energy of a block executing simple harmonic motion is 25 J. A is the amplitude of oscil… JEE Main 31st Jan 1st Shift 2023
• The variation of displacement with time of a particle executing free simple harmonic motion is shown in the f… JEE Main 27th Aug 1st Shift 2021
• For a body executing S.H.M.: (A) Potential energy is always equal to its K.E. (B) Average potential and kinet… JEE Main 31st Aug 2nd Shift 2021
• In a simple harmonic oscillation, what fraction of the total mechanical energy is in the form of kinetic ener… JEE Main 25th July 2nd Shift 2021
• A particle starts executing simple harmonic motion (SHM) of amplitude a and total energy E. At any instant it… JEE Main 27th July 1st Shift 2021
• An object of mass 0.5 kg is executing simple harmonic motion. Its amplitude is 5 cm and time period T is 0.2… JEE Main 27th July 2nd Shift 2021
• For what value of displacement do the kinetic energy and the potential energy of a simple harmonic oscillatio… JEE Main 17th March 1st Shift 2021
• A particle is executing simple harmonic motion (SHM) of amplitude A along the x-axis about x=0. When its pote… JEE Main 9th Jan 2nd Shift 2019
• A particle is executing simple harmonic motion with a time period T. At time t=0 it is at its position of equ… JEE Main 2017
• For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against i… JEE Main 2015
• A particle of mass m executes simple harmonic motion with amplitude a and frequency υ. The average kinetic en… JEE Main 2007
• Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will it… JEE Main 2006
• The total energy of a particle executing simple harmonic motion is (where x is the displacement from the mean… JEE Main 2004
• A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and the total… JEE Main 2003
• In a simple harmonic oscillator, at the mean position JEE Main 2002
• The displacement of a particle executing simple harmonic motion with time period T is expressed as x(t)=A sin… JEE Main 28th Jan 1st Shift 2026
• An object of mass 0.2 kg executes simple harmonic motion along the x-axis with a frequency of (25)/π Hz. At t… JEE Main 8th April 2nd Shift 2024
• When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energ… JEE Main 29th Jan 1st Shift 2024
• At a given instant the displacement of a simple harmonic oscillator is y=A cos 30°. If the amplitude is 40 cm… JEE Main 13th April 1st Shift 2023
• The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy is 25% more t… JEE Main 1st Feb 1st Shift 2023
• The displacement of a simple harmonic oscillator is x=A sin ω t and its time period is T. The slope of its po… JEE Main 30th Jan 1st Shift 2023
• A particle of mass 1 kg hangs from a spring of force constant 100 N m⁻¹. It is pulled slightly down and relea… JEE Main 31st Aug 1st Shift 2021