Question

The refractive index of glass with respect to water is `(9)/(8)`. If the velocity of wavelength of light in glass are `2 xx 10^(8) m//s` and 4000 Å respectively, find the velocity and wavelength of light in water.

Answer 1

`{:("In terms of velocity",,,"In terms of wavelength"),(._(w)mu_(g) = (9)/(8),,,,._(w)mu_(g) = (lambda_(w))/(lambda_(g)) = (mu_(g))/(mu_(w))),(._(w)mu_(g) = (mu_(g))/(mu_(w)) = (v_(w))/(v_(g)),,,(9)/(8) = (lambda_(w))/(4000), lambda = 4500 Å):}`
`(9)/(8) = (V_(w))/(2 xx 10^(8)) = v_(w) = (9 xx 2 xx 10^(8))/(8) = 2.25 xx 10^(8) m//s`