JEE Main 2023PhysicsWaves and SoundEasyNumerical

JEE Main 2023 — Waves and Sound Question with Solution

JEE Main 2023 (25 Jan Shift 1)

Question

The distance between two consecutive points with phase difference of 60° in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is travelling is ______ km s-1.

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Show full solutionCorrect answer: 18
Correct answer
18

Step-by-step explanation

Distance between two consecutive points 60° out of phase is given by Δx=λ2πΔϕ

Putting the values, we have

6=λ2ππ3

⇒λ=36 m

Now, velocity of wave is v=fλ=(500 Hz)(36 m)

=18000 m s-1=18 km 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.