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:
- Aλ = 4 m, v = 100 m/sCorrect
- Bλ = 2 m, v = 100 m/s
- Cλ = 4 m, v = 50 m/s
- Dλ = 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.