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Q.

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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a

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

b

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

c

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

d

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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