A sonometer wire vibrates with frequency `n_1` in air under suitable load of specific gravity `sigma` . When the load is immersed in water , the frequency of vibration of wire `n_2` will be …..

Options

A. `n_(1) sqrt((sigma +1)/(sigma))`
B. `n_(1)sqrt((sigma - 1)/(sigma))`
C. `n_(1) sqrt((sigma)/(sigma + 1))`
D. `n_(1) sqrt((sigma)/(sigma - 1))`

Answer

B

Explanation

`n_(1) sqrt((sigma - 1)/(sigma))`
Specific gravity or relative density is
`(n_(1))/(n_(2)) = sqrt((sigma)/(sigma-1))`
`:. n_(2) = n_(1) sqrt((sigma-1)/(sigma))`