Question

The equation of a wave is given by Y = A sinω(x/v-k) where ω is the angular velocity and v is the linear velocity. The dimension of k is 

(A) LT 

(B) T 

(C) T^-1 

(D) T²

Answer 1

Answer is (B) T

In the given wave equation x denotes displacement. Thus (x/v) has dimensions of T. 

Hence from the principle of homogenity k has dimensions of T.