Wave Mechanics Stationary Waves Question 38
Question: Two travelling waves $ y _{1}=A\sin
[k(x-ct)] $ and $ y _{2}=A\sin [k(x+ct)] $ are superimposed on string. The distance between adjacent nodes is [IIT 1992]
Options:
A) $ ct/\pi $
B) $ ct/2\pi $
C) $ \pi /2k $
D) $ \pi /k $
Show Answer
Answer:
Correct Answer: D
Solution:
The distance between adjacent nodes $ x=\frac{\lambda }{2} $ Also $ k=\frac{2\pi }{\lambda }.
$ Hence $ x=\frac{\pi }{k}.
$
BETA
