Wave Motion 2 Question 24
24. A wave represented by the equation $y=a \cos (k x-\omega t)$ is superimposed with another wave to form a stationary wave such that point $x=0$ is a node. The equation for the other wave is
(1988, 1M)
(a) $a \sin (k x+\omega t)$
(b) $-a \cos (k x-\omega t)$
(c) $-a \cos (k x+\omega t)$
(d) $-a \sin (k x-\omega t)$
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Answer:
Correct Answer: 24. (c)
Solution:
- For a stationary wave to form, two identical waves should travel in opposite direction. Further at $x=0$, resultant $y$ (from both the waves) should be zero at all instants.
