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Differential Equation of Wave

The equation ...

Question

The equation of a wave is represented by $y = 10^{- 4} sin (100 t - \frac{x}{10}) m,$ where $x$ and $y$ are in meter and $t$ in second; then the velocity of wave will be

A

0.01 m/s

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B

10 m/s

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C

100 m/s

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D

1000 m/s

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Solution

The correct option is D 1000 m/s
$\begin{matrix} y = 10^{- 4} sin (100 t - \frac{x}{10}) k = \frac{1}{10} w = 100 v = \frac{w}{k} = 1000 m / s \end{matrix}$

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