Q. A transverse wave is represented by y = A sin(ωt − kx). For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
A) A
B) πA/2
C) πA
D) 2πA
Explanation
[Solution from source] Wave speed ω/k equals the maximum particle speed Aω when 1/k = A, i.e. λ/(2π) = A, so λ = 2πA. Choosing πA drops the factor 2 in k = 2π/λ. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.