JEE Main 2023PhysicsWaves and SoundEasyNumerical

JEE Main 2023 — Waves and Sound Question with Solution

JEE Main 2023 (10 Apr Shift 1)

Question

A transverse harmonic wave on a string is given by yx, t=5 sin6t+0.003x where x and y are in cm and t in sec. The wave velocity is _________ m s-1.

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Show full solutionCorrect answer: 20
Correct answer
20

Step-by-step explanation

The general equation for a wave can be written as y=Asinωt+kx. Comparing it with the given equation, y=5 sin6t+0.003x,

ω=6 rad s-1, k=0.003 cm-1

Using the equation, v=ωk

v=60.003×102=20 m s-1

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About this question

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