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The diagram given illustrates a wave form. Determine the speed of the wave

Physics
WAEC 2015

The diagram given illustrates a wave form. Determine the speed of the wave

  • A. 5.4 ms-1
  • B. 8.4 ms-1
  • C. 9.6 ms-1
  • D. 10.0 ms-1
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Correct Answer: Option D
Explanation

The diagram illustrates three complete cycles over a distance of 9 m. Therefore, the wavelength λ is 9 m / 3 = 3 m.

The time t = 0.6 s corresponds to two periods (based on the labeling in the diagram spanning two cycles). Therefore, the period T is \(\frac{0.6 s }{2}\) = 0.3 s.

The speed of the wave v is given by v = \(\frac{λ }{\text{T}}\) = \(\frac{3 m }{0.3 s}\)  = 10 m/s.


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