wave_mechanics interference_and_superposition_of_waves Question 13
Question: 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
[CPMT 1988]
Options:
A) Source $ S _{1} $ emits wave (1) and $ S _{2} $ emits wave (2)
B) Source $ S _{3} $ emits wave (3) and $ S _{4} $ emits wave (4)
C) Source $ S _{2} $ emits wave (2) and $ S _{4} $ emits wave (4)
D) $ S _{4} $ emits waves (4) and $ S _{3} $ emits waves (3)
Show Answer
Answer:
Correct Answer: C
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 $ \frac{\pi }{2} $ out of two choices.
Only one S2 emitting ?2? and S4 emitting ?4? is given so only option is correct.
BETA
