If `epsi_(0)` and `mu_(0)` are respectively, the electric permittivity and the magnetic permeability of free space, `epsi` and `mu` the corresponding quantities in a medium, the refractive index of the medium is

Options

A. `sqrt((mu epsilon)/(mu_(0) epsilon_(0)))`
B. `(mu epsilon)/(mu_(0) epsilon_(0))`
C. `sqrt((mu_(0) epsilon_(0))/(mu epsilon))`
D. `sqrt((mu mu_(0))/(epsilon epsilon_(0)))`

Answer

A

Explanation

Since, `n = (c )/(v) = (1)/(sqrt(mu_(0) epsilon_(0))) . (sqrt(mu epsilon))/(1) = n = sqrt((mu epsilon)/(mu_(0) epsilon_(0)))`