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Physics-

General

Easy

Question

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

129.6 Hz
500 Hz
1000 Hz
2000 Hz

The correct answer is: 1000 Hz

When piston moves a distance $x subscript 1 end subscript$ , path difference change by 2 xs.
$therefore$ the path difference between maxima and consecutive minima= $lambda divided by 2$
∴ $2 x equals lambda divided by 2$
Or
λ=4x=4×9 cm=36cm=0.36m
$n equals fraction numerator v over denominator lambda end fraction equals fraction numerator 360 over denominator 0.36 end fraction equals 1000 blank H z$

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