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

`lambda = (330)/(500) = 0.66 m`
The resonance occurs at
`(lambda)/(4) , ( 3lambda)/(4) , ( 5 lambda)/(4) , ( 7 lambda)/(4) ,….`
i.e ., at `0.165 m , 0.495 m , 0.825 m , 1.115 m`. As the length of the tube is only `1.0 m, hence `3` resonances will be observed.