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The equation of a wave is y 0 005 sin x 0 5X - ... - JAMB Physics 1992 Question

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
correct option: 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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