The equation of a wave is y = 0.005 sin[x(0.5X – 200t)] where x and…

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?

Correct Answer: Option B

Explanation

y = 0.005 sin[x(0.5X – 200t)]
compare to Y = A sin(kx – wt)
(lambda) = (frac{2pi}{k}) and F = (frac{w}{2pi})
V= (lambda)F
= (frac{2pi}{0.5}) x (frac{200}{2pi})
= 400ms^-1