The velocity of a certain monochromatic light, in a given transparent medium is `2.25xx 10^(8)m//s`. What is the (a) critical angle of incidence, (b) polarising angle for this medium?

Explanation

`"Here "v=2.25xx10^(8)m//s`
Speed of light in vaccum `c=3xx10^(8)m//s`
`" "mu=(c)/(v)=(3xx10^(8))/(2.55xx10^(8))underset(8x to 0)lim=1.33`
(a) If C is the critical angle, then `mu=(1)/(Sin C)`
`" "1.33=(1)/(Sin C)" ""Sin C"=(1)/(1.33)=0.75`
(b) If `beta` is the polarising angle then, `tan i_(beta)=mu`
`tan i_(beta)=1.33=tan53.06^(@) Rightarrow i_(beta)=53.06^(@)`