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A tuning fork of frequency n resonates w...

A tuning fork of frequency n resonates with a closed organ pipe when the length of the shortest air columns are a and b respectively, then the speed of sound in air will be

A

n(a-b)

B

`(n(b-a))/(2)`

C

`2n(b+a)`

D

2n(b-a)

Text Solution

Verified by Experts

The correct Answer is:
D
The first resonating length is
`lamda/4 = a+e`
The second resonating length is
`(3lamda)/(4) = b+e`
`b-a = lamda/2 therefore lamda = 2(b-a)`
As `v=nlamda =2n(b-a)`
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