Q. A transverse wave propagating along x-axis is represented by : y(x, t) = 8.0 sin (0.5πx − 4πt − π/4) where x is in metres and t is in seconds. The speed of the wave is :
A) 8π m/s
B) 0.5π m/s
C) π/4 m/s
D) 8 m/s
Explanation
[Solution from source] Comparing with y = A sin(kx − ωt + φ), k = 0.5π rad/m and ω = 4π rad/s. The wave speed is v = ω/k = 4π/0.5π = 8 m/s. The value 8π m/s comes from mixing the amplitude with ω and is wrong. Answer (4).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.