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.