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

Question

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

Infinity Learn · Accepted Answer

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  π$$2$$ 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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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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