A progressive wave is represented by y = 10 sin(200πt – 0.4πx) where x and y are in metres and t in

JAMB Physics 2023 331 views
Source: JAMB · 2023

A progressive wave is represented by y = 10 sin(200πt – 0.4πx) where x and y are in metres and t in seconds. Calculate the wavelength.

  1. 5 m ✓
  2. 4 m
  3. 6 m
  4. 3 m
Explanation

Compare with the standard wave equation y = A sin(ωt − kx). The number in front of x is the wave number k = 0.4π.

Wavelength λ = 2π ÷ k = 2π ÷ 0.4π = 5 m.

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