Q.
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
A) $10^{4}m/s$
B) $1\ m/s$
C) $10^{- 4}m/s$
D) Not derivable from above data
Explanation
(a) By comparing given equation with $y = a\sin{(\omega t)\cos{kx}}$
$\Rightarrow v = \frac{\omega}{k} = \frac{100}{0.01} = 10^{4}\ m/s$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.