Out of the given four waves (1), (2), (3) and (4)y=asin(kx+ωt) ......(1)y=asin(ωt−kx) ......(2)y=acos(kx+ωt) ......(3)y=acos(ωt−kx) ......(4)emitted by four different sources S1, S2, S3 and S4 respectively, interference phenomena would be observed in space under appropriate conditions when

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Source S1 emits wave (1) and S2 emits wave (2)

Source S3 emits wave (3) and S4 emits wave (4)

Source S2 emits wave (2) and S4 emits wave (4)

S4 emits waves (4) and S3 emits waves (3)

answer is C.

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Detailed Solution

For interference, two waves must have a constant phase relation ship. Equation ‘1’ and ‘3’ and ‘2’ and ‘4’ have a constant phase relationship of π2 out of two choices. Only one S2 emitting ‘2’ and S4 emitting ‘4’ is given so only (c) option is correct.

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