Question

A travelling wave is described by the equation
$y(x, t)=[0.05 \sin (8 x-4 t)] m$
The velocity of the wave is : [all the quantities are in SI unit]

• A. $4 \,ms ^{-1}$
• B. $8 \,ms ^{-1}$
• C. $0.5 \, ms ^{-1}$
• D. $2 \,ms ^{-1}$

Answer 1

Answer: (C)

From the given equation $k =8 \,m ^{-1}$
and $\omega=4 \,rad / s$ Velocity of wave $=\frac{\omega}{ k }$
$v =\frac{4}{8}=0.5\, m / s$