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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
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Correct Answer: Option B
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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now