Question

The refractive indices of glass and water with respect to air are `3/2` respectively. The refractive index of glass with respect to water will be ______.

Options

• `8/9`

• `9/8`

• `7/6`

• none of these

Answer 1

The refractive indices of glass and water with respect to air are `3/2` respectively. The refractive index of glass with respect to water will be `bbunderline(9/8)`.

Explanation:

Given: Refractive index of glass w.r.t. air, `(n_(ag) = 3/2)`

Refractive index of water w.r.t. air, `(n_(aw) = 4/3)`

The refractive index of glass with respect to water is:

`n_(wg) = n_(ag")/n_(aw)`

= `(3/2)/(4/3)`

= `3/2 xx 3/4`

= `9/8`