JEE Main 2024PhysicsWaves and SoundEasyNumerical

JEE Main 2024Waves and Sound Question with Solution

JEE Main 2024 (06 Apr Shift 2)

Question

Two open organ pipes of lengths and resonate at and harmonics respectively. The difference of frequencies for the given modes is _______ . (Velocity of sound in air )

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Show full solutionCorrect answer: 740
Correct answer
740

Step-by-step explanation

The difference in frequency in open organ pipe $\begin{aligned} & \mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{~L}} \\ & \Delta \mathrm{f}=\frac{6 \mathrm{v}}{2 \times 0.6}-\frac{5 \mathrm{v}}{2 \times 0.9} \\ & \mathrm{v}=333 \mathrm{~m} / \mathrm{s} \\ & \Delta \mathrm{f}=740 \mathrm{~Hz} \end{aligned}$

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About this question

This is a previous-year question from JEE Main 2024, 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.