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A fork of frequency 256Hz resonates with...

A fork of frequency 256Hz resonates with a closed organ pipe of length 25.4cm. If the length of the pipe is increased by 2mm then the number of beat/s will be

A

4

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`n_1=256=v/(4l_1)=v/(4 times 25.4)`
`therefore v=256 times 101.6 cm//s`
`n_2=v/(4 l_2)= (256 times 101.6)/(4 times 25.6)=254 Hz`
No. of beats /sec `=n_1-n_2=256-254=2`
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