A progressive wave is described by y = 0.02 sin(10πx−40πt), with x and y in metres and t in seconds. If the wave speed is N m/s, find N.
Physics · Wave Motion · general equation of wave
JEE Mains NEET JEE Advanced

Question

A progressive wave is described by y = 0.02 sin(10πx−40πt), with x and y in metres and t in seconds. If the wave speed is N m/s, find N.

G1 Physics · Accepted Answer

From the equation, k = 10π rad/m, ω = 40π rad/s. Wave speed: v = ω/k = 40π/(10π) = 4 m/s. Hence, N = 4.