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Question

A longitudinal sound wave given by p=5sinπ3(x400t) (p is in N/m2, x is in metres and t is in seconds) is sent down a closed organ pipe. If the pipe vibrates in its second overtone, the length of the pipe is


A
7.5 m
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B
15 m
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C
5 m
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D
2 m
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Solution

The correct option is A 7.5 m
Given that 
p=5sinπ3(x400t)
From equation, 
k=π3
So, wavelength (λ)=2πk=2ππ3=6 m
For second overtone,
l=λ4+λ2+λ2=5λ4=54×6
l=7.5 m


Physics

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