The equation of a wave is y = 0.005 sin[x(0.5X - 200t)] where x and...
PHYSICS
JAMB 1992
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 Answer: B. 400ms-1
Explanation
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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