Which of the following does not have the dimensions of velocity ? ( Given `epsilon_(0)` is the permittivity of free space , `mu_(0)` is the permittivity of free space , `v is frequency , lambda` is wavelength , `P` is the pressure , and `rho` is density , `k` is wave number , `omega` is the the angular frequency)

Options

A. `omega k`
B. `v lambda`
C. `(1)/( sqrt(epsilon _(0) mu_(0)))`
D. ` sqrt((P)/( rho))`

Answer

A

Explanation

Here `omega xx k = T^(-1) L^(-1)` , which are not the dimensions of velocity. All others have got the dimensions of velocity.