JEE Main 2023PhysicsLaws of MotionEasyMCQ

JEE Main 2023Laws of Motion Question with Solution

JEE Main 2023 (06 Apr Shift 1)

Question

A mass m is attached to two springs as shown in figure. The spring constants of two springs are K1 and K2. For the frictionless surface, the time period of oscillation of mass m is

Choose an option

Show full solutionCorrect option: A
Correct answer
A2πm K1+K2

Step-by-step explanation

For the given combination, if the block is displaced towards right, elongation in one spring will be equal to the compression in other and the direction of force due to both spring will be the same and restoring in nature. Hence, both springs are effectively in parallel combination.

Therefore,

Keff=K1+K2 and

T=2πmKeff=2πmK1+K2

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About this question

This is a previous-year question from JEE Main 2023, covering the Laws of Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.