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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 . 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

Text Solution

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`lamda=v/f=330/500=0.66m`
The resonance length are
`l_(1)=(lamda)/4=0.165m`
`l_(2)=(3lamda)/4=0.495m`
`l_(2)=(5lamda)/4=0.825m`
and `l_(4)=(7 lamda)/4=1.155m`
As `l_(4)` is greater than 1m, so allowed resonances are only three.
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