The equation of a progressive wave is y = 0.02 , ,2 [ t 0.01 - x … - Vidyadip

MCQ

The equation of a progressive wave is $y = 0.02\,\sin \,2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.30}}} \right]$ Here $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $ms^{-1}$

A
$300$
✓
$30$
C
$400$
D
$40$

✓

Answer

Correct option: B.

$30$

b
$\omega=\frac{2 \pi}{0.01}$ and $\mathrm{k}=\frac{2 \pi}{0.30}$

$v=\frac{\omega}{k}=\frac{2 \pi}{0.01} \times \frac{0.30}{2 \pi}=30 \mathrm{ms}^{-1}$

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