JEE Main 2022PhysicsOscillationsHardMCQ

JEE Main 2022Oscillations Question with Solution

JEE Main 2022 (29 Jul Shift 1)

Question

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α, is given by :

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Show full solutionCorrect option: A
Correct answer
A2πLgcosα

Step-by-step explanation

Acceleration of vehicle down the incline will be a=gsinα
In the frame of the vehicle, we have to apply pseudo force. The Force diagram is shown in figure.
Component of mg along the inclined (i.e. mgsinα) will balance the pseudo force. Therefore, geff=gcosα
               

Hence,

T=2πLgeff=2πLgcosα.

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About this question

This is a previous-year question from JEE Main 2022, 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.