Out of the given four waves $(1), (2), (3)$ and $(4)$
$y = a\sin (kx + \omega t)$ ......$(1)$
$y = a\sin (\omega t - kx)$ ......$(2)$
$y = a\cos (kx + \omega t)$ ......$(3)$
$y = a\cos (\omega t - kx)$ ......$(4)$
emitted by four different sources ${S_1},\,{S_2},\,{S_3}$ and ${S_4}$ respectively, interference phenomena would be observed in space under appropriate conditions when
Medium
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(c) 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 $\frac{\pi }{2}$ out of two choices.
Only one $S_2$ emitting $‘2’$ and $S_4$ emitting $‘4’$ is given so only $(c)$ option is correct.
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