Wave Mechanics Question 708
Question: A standing wave is represented by $ Y=A\sin (100t)\cos (0.01x) $ where Y and A are in millimetre, t is in seconds and x is in metre. The velocity of wave is
[CBSE PMT 1994; AFMC 2002]
Options:
A) $ 10^{4},m/s $
B) $ 1,m/s $
C) $ {{10}^{-4}},m/s $
D) Not derivable from above data
Show Answer
Answer:
Correct Answer: A
Solution:
By comparing given equation with $ y=a\sin (\omega t)\cos kx $
Therefore $ v=\frac{\omega }{k}=\frac{100}{0.01}=10^{4} $
$ m/s $