Wave Mechanics Question 721
Question: Two travelling waves $ y _{1}=A\sin
[k(x-c,t)] $ and $ y _{2}=A\sin [k(x+c,t)] $ are superimposed on string. The distance between adjacent nodes is [IIT 1992]
Options:
A) $ c,t/\pi $
B) $ c,t/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}. $