Question

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)

Answer 1

Correct Answer - 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)`