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Vibrating tuning fork of frequency `n` is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through `8.75 cm`, the intensity of sound changes from a maximum to minimum. If the speed of sound is `350 m//s`. Then `n` is

A

500 Hz

B

1000 Hz

C

2000 Hz

D

4000 Hz

Text Solution

Verified by Experts

The correct Answer is:
B
When the piston is moved.
Path difference = `2xx8.75=17.5cm`
As intensity changes from maximum to minimum
`therefore` Additional path `(lambda)/(2)=17.5implieslambda=35cm`
Hence, `v=flambdaimpliesf=(v)/(lambda)=(350)/(0.35)=1000Hz`.
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