Question

the equation of wave is given by Y=Asinw(x/v-k) where w is the angular velocity and v is the linear velocity the dimensions of k is

Answer 1

»the dimension of right side is always equal to the left side in any equation

»we can only subtract or add two or more quantity if they have same dimension .

so in above question

x/v have same dimension of k.

bcz they have subtract each other

so dimension formula of k

=[L]/[LT^-1]

=[T]

so dimension formula of k is

[T]