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
Verified Correct Answer: B.
Physical Principles & Numerical Solution
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
Source: Myschool Past Questions Archive (Record #28073)