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Two closed organ pipes have lengths L an...

Two closed organ pipes have lengths L and `L+X`. When two pipes are sounded together , the beat frequency is

A

`(YV)/(4l(l+y))`

B

`(YV)/(2l(l+y))`

C

`(YV)/(2l^2(l+y))`

D

`(2l^2)/(YV)`

Text Solution

Verified by Experts

The correct Answer is:
A
`n=n_1-n_2`
`=(v)/(4l_1) - (v)/(4l_2)`
`=v/4[1/l - (1)/(l+y)] = v/4[(l+y-l)/(l(l+y))]= (vy)/(4l(l+y))`
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