JEE Main 2023PhysicsWaves and SoundEasyNumerical

JEE Main 2023Waves and Sound Question with Solution

JEE Main 2023 (12 Apr Shift 1)

Question

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1:3:5 respectively. If the frequency of fifth harmonic is 405 Hz and the speed of sound in air is 324 m s1 the length of the organ pipe is _____ m.

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Correct answer
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Step-by-step explanation

It is given,

f5=405 Hz.

As the first three resonance frequencies are in the ratio of 1:3:5, therefore it must be a closed organ pipe.

The frequency formula in a closed organ pipe is given by f=nv4l. So,

5v4I=405 Hz

I=405×45×324=1 m

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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.