Question

The speed of the wave represented by y = A sin(ωt – kx) is …….. 

(a) k/ω 

(b) ω/k 

(c) ωk 

(d) 1/ωk

Answer 1

Correct answer is (b) ω/k

Answer 2

The speed of a wave represented by the function y = A sin⁡(ωt−kx)y can be determined using the relationship between the angular frequency ω and the wave number k.

In general, the wave speed v is given by the ratio of the angular frequency to the wave number:

v = ω/k

So, for the wave function y = A sin⁡(ωt−kx), the speed of the wave is:

v = ω/k