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Waves on String: Wave Equation MCQ

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Wave EquationMediumQuestion 31310

Question

Wave equation y = 0.01 sin(πx − 100πt) m. Amplitude, wavelength, and wave speed are:
  1. A
    0.01 m, 1 m, 100 m/s
  2. B
    0.01 m, 2 m, 100 m/s
    Correct
  3. C
    0.01 m, 2 m, 50 m/s
  4. D
    0.1 m, 1 m, 100 m/s

Correct answer

0.01 m, 2 m, 100 m/s

Explanation

A = 0.01 m. k = π → λ = 2π/k = 2 m. ω = 100π → f = 50 Hz. v = ω/k = 100π/π = 100 m/s.

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