Wave Mechanics Stationary Waves Question 36
Question: Consider the three waves $ z _{1},z _{2} $ and $ z _{3} $ as $ z _{1}=A\sin (kx-\omega t) $ , $ z _{2}=A\sin (kx+\omega t) $ and $ z _{3}=A\sin (ky-\omega t) $ . Which of the following represents a standing wave
[DCE 2004]
Options:
A) $ z _{1}+z _{2} $
B) $ z _{2}+z _{3} $
C) $ z _{3}+z _{1} $
D) $ z _{1}+z _{2}+z _{3} $
Show Answer
Answer:
Correct Answer: A
Solution:
Waves $ Z _{1}=A\sin (kx-\omega t) $ is travelling towards positive x-direction.
Wave $ Z _{2}=A\sin (kx+\omega t) $ , is travelling towards negative x-direction.
Wave $ Z _{3}=A\sin (ky-\omega t) $ is travelling towards positive y direction.
Since waves Z1 and Z2 are travelling along the same line so they will produce stationary wave.
BETA
