Question

The equation of a wae is represented by $y=10^{-4} \sin \Bigg(100t -\frac{x}{10}\Bigg)m,$ 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)

1000 m/s

Answer 2

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