Question

A light ray moves from glass (V_g = 2.0 × 10⁸ m/s) to diamond (V_d = 1.25 × 10⁸ m/s). What is the refractive index of diamond with respect to glass?

Answer 1

Given: 

Velocity of light in glass (V_g) = 2.0 × 10⁸ m/s

Velocity of light in diamond (V_d) = 1.25 × 10⁸ m/s

Formula:

_gμ_d = `"Velocity of light in first medium (glass)"/"Velocity of light in second medium (diamond)" = V_g/V_d` 

= `(2.0 xx 10^8)/(1.25 xx 10^8)`

= `2.0/1.25`

= `200/125`

= `8/5`

= 1.60

The refractive index of diamond with respect to glass is 1.60.