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.

Explanation

In terms of velocity,
`""_(w)mu_(g)=9/8`,
`""_(w)mu_(g)=mu_(g)/mu_(w)=v_(w)/v_(g)`
`9/8=v_(w)/(2xx10^(8))`
`rArrv_(w)=(9xx2xx10^(8))/8`
= `2.25xx10^(8)m//s`
In terms of wavelength,
`""_(w)mu_(g)=lamda_(w)/lamda_(g)=mu_(g)/mu_(w)`
`9/8=lamda_(w)/4000`
`rArrlamda=4500Å`