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The pipe closed at one end, has an air c...

The pipe closed at one end, has an air column. The air column is in resonance with a vibrating tuning fork of frequency `f(75Hzltflt300Hz)`. Length of air column is `93.75 cm` find `f` (speed of sound in air is `330(m)/(s)`)

A

`78 Hz`

B

`197 Hz`

C

`264 Hz`

D

`284 Hz`

Text Solution

Verified by Experts

The correct Answer is:
C
Force closed pipe `f=(nV)/(4l), n=1,3,5`
`f_1=(V)/(4l)=(330)/((4)((93.75)/(100)))=88Hz`
`f_2=(3V)/(4l)=((3)(330))/((4)((93.75)/(100)))=264Hz`
Required `f=264Hz`
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