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JEE Main 202225 JuneMorning Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Morning Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2022 · 25 June · Morning Shift · Physics · Waves and Sound

The first overtone frequency of an open organ pipe is equal to the...

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20cm20cm. The length of the open organ pipe is _____ cmcm

Correct answer

0

Step-by-step solution

The fundamental frequency of the closed organ pipe is given by, f0=v4lc{f}_{0} = \dfrac{v}{4{l}_{c}}.

The frequency of the first overtone of a open organ pipe is given by, f1=2×v2lo{f}_{1} = 2 \times \dfrac{v}{2{l}_{o}}.

Since,

f0=f1⇒v4lc=vlo⇒lo=4×20=80cm{f}_{0} = {f}_{1} ⇒ \dfrac{v}{4{l}_{c}} = \dfrac{v}{{l}_{o}} ⇒ {l}_{o} = 4 \times 20 = 80cm.

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