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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

By moving piston, extra path difference `= 2 xx 8.75`
`= 17.5 cm`
`(lambda)/(2) = 17.5 rArr lambda = 35 cm = 0.35 m`
`f = (v)/(lambda) = (350)/(0.35) = 1000 Hz`
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