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A glass tube of 1.0 m length is filled w...

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 . A vibrating tuning fork of frequency `500 Hz` is brought at the upper end of the tube and the velocity of sound is `330 m//s`. Find the number of resonances that can be obtained.

Text Solution

Verified by Experts

The correct Answer is:
`2`
`f = 500 Hz , v = 300 ms^(-1)`
`lambda = (v)/(f) = (300)/(500) = (3)/(5) m`
Resonatinglength `l = (( 2 n -1)v)/( 4f)`
`l = (( 2n -1) xx 300)/( 4 xx 5 ) le 1m`
`n le 23//6 = 3.83`
Since only odd harmonics are possible there will be only two resonant lengths.
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