Question

A transverse wave propagating along x-axis is represented by $y(x, t)=8.0 \sin(0.5\pi x-4\pi t-\pi/4)$ where x is in metres and t is in seconds. The speed of the wave is :-

• A. $8\, m/s$
• B. $4\pi\, m/s$
• C. $0.5\pi \,m/s$
• D. $\pi/4\, m/s$

Answer 1

Answer: (A)

$8\, m/s$

Answer 2

$V =\frac{\omega}{ k }=\frac{4 \pi}{0.5 \pi}=8 ms ^{-1}$