Question

If the absolute refractive indices of glass and water are `3//2` and `4//3` respectively, what is the refractive index of glass respect to water ?

Answer 1

Given : `" "_(g)n_(v)=(3)/(2)=(V_(v))/(V_(g))`
`" "_(w)n_(v)=(4)/(3)=(V_(v))/(V_(w))`
To find : `" "_(g)n_(w)=` ?
Formulae : `" "_(g)n_(w)=(V_(w))/(V_(g))`
Solution : `" "_(g)n_(w)=(V_(w))/(V_(g))`
`=(V_(w))/(V_(g)) xx (V_(v))/(V_(v))`
`=(V_(v))/(V_(g))xx(V_(w))/(V_(v))`
`=(3)/(2)xx(3)/(4)`
`" "_(g)n_(w)=(9)/(8)`
Refractive index of glass with respect to water is `(9)/(8)` .