JEE Physics · Hard

Waves on String: Wave Equation MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Wave EquationHardQuestion 31372

Question

Transverse wave on string: y = A sin(ωt − kx). If k = 0.5π rad/m and ω = 50π rad/s, wavelength and speed are:
  1. A
    λ = 4 m, v = 100 m/s
    Correct
  2. B
    λ = 2 m, v = 100 m/s
  3. C
    λ = 4 m, v = 50 m/s
  4. D
    λ = 2 m, v = 50 m/s

Correct answer

λ = 4 m, v = 100 m/s

Explanation

λ = 2π/k = 2π/(0.5π) = 4 m. v = ω/k = 50π/0.5π = 100 m/s.