Q. A wave is represented by the equation $y = 0.5\ sin(10t + x)m$.It is a travelling wave propagating along +X direction with velocity
A) $40ms^{- 1}$
B) $20ms^{- 1}$
C) $5ms^{- 1}$
D) None of these
Explanation
(d) Compare the given equation with the standard form
$y = r\sin\left\lbrack \frac{2\pi t}{T} + \frac{2\pi x}{\lambda} \right\rbrack$
$\frac{2\pi}{T} = 10,\frac{2\pi}{\lambda} = 1\ $
$v = \frac{\lambda}{T} = \frac{10}{1} = 10\ ms^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.