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A prism (mu(P)=sqrt(3)) has an angle of ...

A prism `(mu_(P)=sqrt(3))` has an angle of prism `A=30^(@)`.A thin film `(mu_(f)=2.2)` is coated on face `AC` as shown in the figure.Light of wavelength `550nm` is incident on the face `AB`at`60^(@)`angle of incidence,find
(I)the angle of its emergence from the face`AC`and

(ii)the minimum thickness (in mn) of the film for which the emerging light is of maximum possible intensity.

Text Solution

Verified by Experts

The correct Answer is:
`0.125nm`

applying snell'a law `1xxsin60^(@)=sqrt(3)xxsinr_(1)`
`(sqrt(3))/(2)=sqrt(3) sinr_(1) rArr sinr_(1)=(1)/(2)`
`r_(1)=30^(@)rArr r_(2)=0`
(ii) for constructive interference
`2mut=nlambda rArr t=(nlambda)/(2mu)`
`t_(min)=(lambda)/(2mu) rArrt_(min)=125nm`
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