A light of wavelength `5800Å` incident on a glass slab and undergoes refraction. Calculate the speed, wavelength and frequency of the refracted light (Refractive index of glass is `3//2`)

Explanation

Data supplied
`lamda=5800Å=5800xx10^(-10)m, " " n_(ga)=3//2, n_(ga)=(c_(a))/(c_(g))`
`:.c_(g)=(c_(a))/(n_(ga))=(3xx10^(8))/(3//2)=2xx10^(8)m//s`
`lamda_(g)=(c_(g))/v=(c_(g))/(c_(a)//lamda_(a))=(lamda_(a).c_(g))/(c_(a)) [ :. c=vlamda]=(5800xx10^(-10)xx2xx10^(8))/(3xx10^(8))=3867xx10^(-10)=3867Å`
`v=(c_(g))/(lamda_(g))=(c_(a))/(lamda_(a))=5.17xx10^(14)Hz`