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Two closed organ pipes give 10 beats bet...

Two closed organ pipes give `10` beats between the fundamental when sounded together. If the length of the shorter pipe is `1m` then the length of the longer pipe will be (speed of sound in air is `340ms^(-1)`)

A

2.87m

B

1.13m

C

0.87m

D

2.13m

Text Solution

Verified by Experts

The correct Answer is:
B

`n_1-n_2=10`
`(v)/(4l_1) - (v)/(4l_2) = 10`
`v/4 [1/1-1/l_2] = 10`
`1-1/l_2=40/v`
`1-40/v=1/l_2`
`(340-40)/(340) = 1/l_2`
`340/300 = l_2`
`l_2 = 1.13cm`
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