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Q.

Figure shows sound waves of wavelength λ are emitted by a point source S and travel to a detector D directly along path 1 and via reflection from a panel along path 2. Initially, the panel is almost along path 1 and the waves arriving at D along the two paths are almost exactly in phase. Then the panel moved away from path 1 as shown until the waves arriving at D are exactly out of phase, the path difference x of the waves along the two paths.

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a

0

b

λ4

c

λ2

d

3λ2

answer is C, D.

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Detailed Solution

For ϕ=π,3π. Therefore  x=ϕλ2π=π×λ2π=λ2and also x=3π×λ2π=3λ2

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