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The lengths of two organ pipes open at b...

The lengths of two organ pipes open at both ends are
`L and L + d`. If they are sounde together, then the
beat frequency will be

A

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

B

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

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)/(2l_1) - (v)/(2l_2)`
`=v/2[1/l - (1)/(l+y)] = v/2[(l+y-l)/(l(l+y))]= (vy)/(2l(l+y))`
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