Question

The equation of a wae is represented by $y=10^{-4}\sin \left(100t-\frac{x}{10}\right)m$, then the velocity of wave will be

• A. 100 m/s
• B. 4 m/s
• C. 1000 m/s
• D. 10 m/s

Answer 1

Answer: (C)

Comparing the given equation with general equation,
$y=a\sin 2\pi \left(\frac{t}{T}-\frac{x}{\lambda }\right)$ we get
$T=\frac{2\pi }{100}$ and $\lambda =20\pi$
$\therefore v=v\lambda =\frac{100}{2\pi }\times 20\pi =1000m/s$