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Question

In a Quincke's tube experiment, there is no change in sound intensity being detected at an appropriate point, when the slidable tube is drawn out by x cm. If the speed of sound in air is 340 m/s and frequency of this sounding source is 1700 Hz, then the value of x is

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Solution

Given that, velocity of sound (v)=340 m/s
frequency of source (f)=1700 Hz

Sliding tube is pulled out by distance of x cm , this introduces a path difference of 2x cm

Since there is no change in intensity when the tube moves by distance x cm
Path difference is λ

2x=λ

But , λ=vf2x=vf
Substituting the data given in the question,

x=340×1002×1700=10 cm

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