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Time Period Independent of Amplitude

The equation ...

Question

The equation of a progressive wave are $Y = sin [200 π (t - \frac{x}{330})]$ , where $x$ is in meter and f is second. The frequency and velocity of wave are

A

100 H z, 5 m / s

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B

300 H z, 100 m / s

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C

100 H z, 330 m / s

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D

30 m / s, 5 H z

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Solution

The correct option is C $100 H z, 330 m / s$
$\begin{matrix} y = A sin (k x - w t + \emptyset) K = \frac{2 π}{λ} f = \frac{w}{2 π} = \frac{200 π}{2 π} = 100 H z V = f λ = f \frac{2 π}{k} = 100 \times \frac{2 π}{200 π} \times 330 = 330 m / s \end{matrix}$

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