Q. The equation of progressive wave is$y = 0.2\sin{2\pi\left\lbrack \frac{t}{0.01} - \frac{x}{0.3} \right\rbrack}$, where x and y are in metre and t is in second. The velocity of propagation of the wave is
A) $30\ ms^{- 1}$
B) $40\ ms^{- 1}$
C) $300\ ms^{- 1}$
D) $400\ ms^{- 1}$
Explanation
(a) Velocity of propagation
$x = \frac{Coefficient\ of\ t}{coefficient\ of\ x} = \frac{2\pi\ /0.01\ }{2\pi/0.3} = 30ms^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.