JEE Main 2021 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 31 August 2021, Shift 1, Physics Q22

Question 22 of 90 in this shift, Physics question 22 of 30, Section B.

A particle of mass 1 kg is hanging from a spring of force constant 100 Nm

^{-1}

. The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and potential energy of the system will become equal, is

\frac{T}{x}

. The value of

x

is __________.

Official answer

NTA final key.

Chapter: Oscillations
Topic: Energy in SHM
Idea tested: Maximum Kinetic and Potential Energy Equivalence

Same topic in other shifts

All Energy in SHM questions

6 Apr 2026, Shift 2 · Q36A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and…MediumSingle correct
4 Apr 2024, Shift 2 · Q50In simple harmonic motion, the total mechanical energy of given system is $E$ . If mass of oscillating particle $P$ is doubled then the new…EasySingle correctHas a figure
8 Apr 2024, Shift 2 · Q54An object of mass 0.2 kg executes simple harmonic motion along x axis with frequency of $\left(\frac{25}{\pi}\right)$ Hz. At the position…MediumNumerical value
27 Jan 2024, Shift 1 · Q54A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position, velocity of the particle is 10 cm/s. The…MediumNumerical value
29 Jan 2024, Shift 1 · Q54When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is…EasyNumerical value
11 Apr 2023, Shift 1 · Q42The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement ( $x$ ) starting from mean…EasyDiagram basedHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.