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 …..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))`

A sonometer wire vibrates with frequency `n_1` in air under suitable l

1.	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 …..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» Correct Answer - B `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))`