Wave Mechanics Question 710
Question: $ y=a\cos (kx+\omega t) $ superimposes on another wave giving a stationary wave having node at x = 0. What is the equation of the other wave
[BHU 1998; DPMT 2000]
Options:
A) $ -a\cos (kx+\omega t) $
B) $ a\cos (kx-\omega t) $
C) $ -a\cos (kx-\omega t) $
D) $ -a\sin (kx+\omega t) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ a\cos (kx+\omega ,t) $ hence $ {y _{reflected}}=a\cos (-kx+\omega ,t+\pi )=-a\cos (kx-\omega ,t) $