JEE Main 2022 · PhysicsMultiple choiceSingle correctEasyCalculation

JEE Main 24 June 2022, Shift 2, Physics Q36

Question 36 of 90 in this shift, Physics question 6 of 30, Section A.

Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be :

(1)1:2
(2)3:2Official answer
(3)3:1
(4)2:3

Official answer

Option 2

NTA final key.

Chapter: Oscillations
Topic: SHM Equations
Idea tested: Velocity and Accel vs Position

Same idea in other shifts

Asked 6× in all

4 Apr 2026, Shift 1 · Q48The velocity of a particle executing simple harmonic motion along $x$ -axis is described as $v^2=50-x^2$ , where $x$ represents…EasyNumerical value
9 Apr 2024, Shift 1 · Q54The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $4$ m,…MediumNumerical value
31 Jan 2024, Shift 1 · Q54A particle performs simple harmonic motion with amplitude $A$ . Its speed is increased to three times at an instant when its displacement…MediumNumerical value
30 Jul 2022, Shift 2 · Q26A particle executing SHM has its velocity 20 cm s $^{-1}$ at mean position and acceleration of 25 cm s $^{-2}$ at one of its extreme…MediumNumerical value
26 Feb 2021, Shift 2 · Q29A particle executes S.H.M. with amplitude ‘a’ and time period ‘T’. The displacement of the particle when its speed is half of maximum…EasyNumerical value

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.