A glass tube of `1.0 m` length is filled with water . The water can be drained out slowly at the bottom of the tube . If a vibrating tuning fork of frequency `500 c//s` is brought at the upper end of the tube and the velocity of sound is `330 m//s`, then the total number of resonances obtained will be

Options

A. 4
B. 3
C. 2
D. 1

Answer

B

Explanation

`n_1 = (v)/(4l)`
. `therefore l_1 =(v)/(4n) = (330)/(500xx4) = 0.165`
`l_1 = lamda/4 = 0.165`
`l_2 = (3lamda)/(4) = 0.495`
`l-3 = (5lamda)/(4) = 0.835`