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A closed pipe resonates at its fundmenta...

A closed pipe resonates at its fundmental frequency of `300 Hz`. Which one of the following statements is wrong ?

A

if the temperature rises, the fundamental frequency increases.

B

if the pressure rises, the fundamental frequency increases.

C

The first overtone is of frequency `900 Hz`.

D

An open pipe with the same fundamental frequency has twice the length.

Text Solution

Verified by Experts

The correct Answer is:
B

`f_("fun") = {{:((V)/(2l) "for open pipe"),((v)/(4l) "for closed pipe"):}`
`f prop sqrt(T)`, but `f` does not depend on pressure.
for closed pipe `f_(1st "overtone") = 3f_("fundamental")`
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