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A vibrating tuning fork of frequency n i...

A vibrating tuning fork of frequency n is placed near the open end of a long cylindrical tube. The tube has a side opening and is also fitted with a movable reflecting piston. As the piston is moved through 8.75 cm, the intensity of sound just changes from a maximum to minimum. If the speed of sound is
350 metre per second, the value of n is `N^3` then N is.

Text Solution

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The correct Answer is:
10
Additional path difference introduced when the piston is moved through `8.75 cm = 2 xx 8.75 = 17.50 cm`
Since, the intensity changes from a maximum to a minimum additional path `=lambda//2`,
`therefore (lambda//2)=17.50 or lambda=35.0 cm`
Velocity, `v=350 m//s=35000 cm//s therefore `Frequency, `n=(v)/(lambda)=(35000)/(35)=1000Hz`
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