JEE Main 2022PhysicsWaves and SoundMediumNumerical

JEE Main 2022 — Waves and Sound Question with Solution

JEE Main 2022 (24 Jun Shift 2)

Question

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y=10cosπxsin2πtTcm. The amplitude of the particle at x=43 cm will be _____ cm.

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation

Amplitude is the maximum displacement from the mean position, for that

sin2πtT=1

Therefore, A=10cos43π=10×12= 5 cm

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About this question

This is a previous-year question from JEE Main 2022, covering the Waves and Sound 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.