The speed of light in water and glass is `2.2 xx 10^(8) m//s ` and ` 2 xx 10^(8) m//s ` respectively. What is the refractive index of (i) water with respect to glass ( ii) glass with respect to water ?

Explanation

Data `: v_(w ) = 2.2 xx 10^98) m//s, v_(g) = 2 xx 10^(8) m//s, ._(w)n_(g) =?, ._(g)n_(w)=?`
(i) `._(w)n_(g) = (v_(g))/(v_(w))= ( 2 xx 10^(8) m//s ) /(2.2 xx 10^(8) m//s)`
`= ( 2 )/( 2.2) = (1)/(1.1) = 0.909 ` (approximately)
The refractive index of water with respect to glass `= 0.909` ( approximately).
(ii) `._(g)n_(w) = ( v_(w))/(v_(g))= ( 2.2 xx 10^(8)m//s)/(2 xx 10^(8) m//s)`
`= ( 2.2 )/( 2) = 1.1 ` OR ` ._(g) n_(w) = (1)/( ._(w)n_(g))= ( 1)/( 1//1.1) = 1.1`
The refractive index of glass with respect to water = 1.1