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The equation of a wave is y = 0.005 sin[x(0.5X - 200t)] wher...

The equation of a wave is y = 0.005 sin[x(0.5X - 200t)] where x and y are in meters and t is in seconds. What is the velocity of the wave?

A.

4000ms^-1

B.

400ms^-1

C.

250ms^-1

D.

40ms^-1

View answer & explanation

Correct answer is B

y = 0.005 sin[x(0.5X - 200t)]

compare to Y = A sin(kx - wt)

$\lambda$ = $\frac{2\pi}{k}$ and F = $\frac{w}{2\pi}$

V= $\lambda$ F

= $\frac{2\pi}{0.5}$ x $\frac{200}{2\pi}$

= 400ms^-1

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