JEE Main 2020PhysicsWaves and SoundHardNumerical

JEE Main 2020Waves and Sound Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m/s, the frequency difference between the fundamental and second harmonic of this pipe is __________ Hz.

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Show full solutionCorrect answer: 106
Correct answer
106

Step-by-step explanation

V=Bρ
VpipeVair=B2ρBρ=12
Vpipe=Vair2
fn=(n+1)Vpipe2l
f1-f0=Vpipe2l=30022=105.75 Hzif2=1.41
=106.05 Hzif2=1.414

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About this question

This is a previous-year question from JEE Main 2020, 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.