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 $