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The critical angle between a certain tra...

The critical angle between a certain transparent medium and air is `phi`. A ray of light travelling through air enters the medium at an angle of incidence equal to its Brewster angle `theta.` Therefore, the angle of refraction is

A

`tan^(-1)(sin theta)`

B

`tan^(-1)(sin phi)`

C

`sin^(-1)(tan theta)`

D

`sin^(-1)(tan phi)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to question, we can draw the following diagram.
From figure, `theta=r'" …(i)"`
`r'+r+90^(@)=180^(@)`
`rArr" "r+r'=90^(@)`
`r=90^(@)-r'=90-theta" …(ii)"`
Brewster law `rArr" "mu =tan theta`
`mu=tan(90-r)=cotr=(sin phi)^(-1)" "rArr" "r=tan^(-1)(sin phi)`

`(1)/(mu)=sinpi" (By definition of critical angle)"`
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