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Question

Out of the given four waves (1), (2), (3) and (4)

y=a sin(kx+ωt) ...................(1)

y=a sin(ωtkx) ...................(2)

y=a cos(kx+ωt) ...................(3)

y=a sin(ωtkx) ...................(4)

emitted by four different sources S1,S2,S3 and S4 respectively, interference phenomena would be observed in space under appropriate conditions when


A

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

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B

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

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C

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

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D

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

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Solution

The correct option is C

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


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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