A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is [image:15_image41.jpeg]

Question

Dr. Abubacker · Accepted Answer

(c) When piston moves a distance$x_{1}$, path difference change by 2 xs.
$	herefore$the path difference between maxima and consecutive minima=$\lambda/2$
∴$2x = \lambda/2$
Or
λ=4x=4×9 cm=36cm=0.36m
$n = \frac{v}{\lambda} = \frac{360}{0.36} = 1000\ Hz$

Explanation

Reviewed by Dr. Abubacker

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