Question

A travelling wave in a stretched string is described by the equation y=Asin(kx−ωt) the maximum particle velocity is

A. Aω
B. ω/k
C. dω/dk
D. x/t

Answer 1

The maximum particle velocity for the travelling wave described by equation y = A sin(kx - ωt) is Aω, which corresponds to option A.

Step-by-step explanation:

The question pertains to a travelling wave in a stretched string, described by the wave equation y = A sin(kx - ωt). The task is to determine the maximum particle velocity from the given options. The velocity of a particle in the wave can be derived by differentiating the position with respect to time, leading us to v = dy/dt = -Aω cos(kx - ωt). The maximum value occurs when cos(kx - ωt) is equal to 1, which gives us the maximum particle velocity as Aω, corresponding to option A.