A long glass tube is held vertically in water. A tuning fork is struck and held over the tube. Strong resonances are observed at two successive lengths `0.50 m` and `0.84 m` above the surface of water. If the velocity of sound is `340 m//s`, then the frequency of the tuning fork is

Options

A. 128 Hz
B. 256Hz
C. 384Hz
D. 500Hz

Answer

D

Explanation

`lamda=2(x_(2)-x_(1))=2(0.84-0.50)=0.68, n=(v)/(lamda)=(340)/(0.68)=500Hz`.