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Question: Sound of wavelength l passes through a Quincke's tube, which is adjusted to give a maximum intensity...

Sound of wavelength l passes through a Quincke's tube, which is adjusted to give a maximum intensity I0. Through what distance should the sliding tube be moved to give an intensity I­0/2 ?

A

l/2

B

l/3

C

l/4

D

l/8

Answer

l/8

Explanation

Solution

4 I = I0

for Intensity I02\frac{I_{0}}{2} i.e 2I

Df = π2\frac{\pi}{2} = 2πλ\frac{2\pi}{\lambda} Dx

Dx = λ4\frac{\lambda}{4} = 2x \ x = λ8\frac{\lambda}{8}