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Sound of wavelength $λ$ passes through a Quincke’s tube, which is adjusted to give a maximum intensity $I_{0}$ . Through what distance should the sliding tube be moved to give an intensity $\frac{I_{0}}{2}$ .

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$\frac{λ}{8}$

$\frac{7 λ}{8}$

$\frac{λ}{4}$

$\frac{3 λ}{4}$

answer is A, D.

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Detailed Solution

$\frac{I_{0}}{2} = 4 \frac{I_{0}}{4} \cos^{2} (\frac{Δ ϕ}{2}) a n d Δ ϕ = \frac{2 π}{λ} (2 Δ x)$

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