The refractive index of water, glass and diamond are `1.33`, `1.50`, `2.40` respectively. The refractive index of diamond relative to water and of glass relative of diamond, respectively are nearly

Options

A. `1.80, 0.625`
B. `0.554, 0.625`
C. `1.80, 1.6`
D. `0.554, 1.6`

Answer

A

Explanation

Given : `.^(a)mu_(w)=1.33, .^(a)mu_(g)=1.5, .^(a)mu_(d)=2.4`
`:. .^(a)mu_(w)xx.^(w)mu_(d)=.^(a)mu_(d)` or `.^(w)mu_(d)=(.^(a)mu_(d))/(.^(a)mu_(w))=(2.4)/(1.33)=1.80`
`:. .^(a)mu_(d)xx.^(d)mu_(g)=.^(a)mu_(g)` or `.^(d)mu_(g)=(.^(a)mu_(g))/(.^(a)mu_(d))=(1.5)/(2.4)=0.625`