JEE Main 2023PhysicsOscillationsMediumNumerical

JEE Main 2023 — Oscillations Question with Solution

JEE Main 2023 (10 Apr Shift 2)

Question

A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3.14 s. The maximum force exerted by spring on block is ___ N.

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Show full solutionCorrect answer: 20
Correct answer
20

Step-by-step explanation

By Newton's second law,

F=mamax.

The maximum acceleration for a SHM is given by 

amax=ω2A   ...(i)

The time period is given by 

T=2πω=3.14 s

⇒ω=2πT=2π3.14=2 rad s-1

Thus, the maximum acceleration from equation (i)

amax=4×1=4 m s-2

The maximum force is 

F=5 kg×4 m s-2=20 N

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About this question

This is a previous-year question from JEE Main 2023, covering the Oscillations 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.