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Sixty complete waves pass a particular point in 4s. If the distance between three successive...

Physics
WAEC 2025

Sixty complete waves pass a particular point in 4s. If the distance between three successive troughs of the waves is 15 m, calculate the speed of the waves.

  • A. 75.0 ms\(^{-1}\)
  • B. 225.0 ms\(^{-1}\)
  • C. 300.0 ms\(^{-1}\)
  • D. 112.5 ms\(^{-1}\)
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Correct Answer: Option D
Explanation

f = \(\frac{\text{no of oscillation made}}{t(s)}\) = \(\frac{60}{4}\) = 15 Hz

This distance equals 2 wavelengths (because there are 3 troughs, each with 2 intervals between them).

2\(\lambda\) = 15

\(\lambda\) = \(\frac{15}{2}\) = 7.5m

V = f\(\lambda\)

v = 15 × 7.5 = 112.5 ms\(^{-1}\)


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