JEE Main 2024PhysicsWaves and SoundMediumMCQ

JEE Main 2024 — Waves and Sound Question with Solution

JEE Main 2024 (31 Jan Shift 1)

Question

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60 cm, the length of the closed pipe will be :

Choose an option

Show full solutionCorrect option: D
Correct answer
D15 cm

Step-by-step explanation

λ4=L1                                2λ2=L2

As, v=fλ                         ⇒f2=2v2L2

⇒v=f14L1                 ⇒f2=vL2

⇒f1=v4L1

As per question, f1=f2

v4L1=vL2

⇒L2=4L1

⇒60=4×L1

⇒L1=15 cm

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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.