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Question

Question: An air column in a pipe, which is closed at one end, will be in resonance with a vibrating body of f...

An air column in a pipe, which is closed at one end, will be in resonance with a vibrating body of frequency 166 Hz, if the length of the air column is

A

2.00 m

B

1.50 m

C

1.00 m

D

0.50 m

Answer

0.50 m

Explanation

Solution

For closed pipe

n1=v4ll=v4n=3324×166=0.5mn_{1} = \frac{v}{4l} \Rightarrow l = \frac{v}{4n} = \frac{332}{4 \times 166} = 0.5m