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If the polarizing angle of a piece of gl...

If the polarizing angle of a piece of glass for green light is `54.74^(@)`, then the angle of minimum deviation for an equilateral prism made of same glass is : `["Given" : tan 54.74^(@)=1.414]`

A

`54.74^(@)`

B

`60^(@)`

C

`45^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
By Brewster's law , `n=tan i_p = tan 54.74^(@)=1.414=sqrt(2)` and the R.I. of the material of a prism is given by
`n=( sin ""((A+ deltam)/(2)))/(sin ""((A)/(2))) " " :. sqrt(2)=( sin ((60^(@) + delta m)/(2)))/(sin (30^(@))) `
`:. sin""((60^(@)+ delta m)/(2))=sqrt(2) xx sin 30^(@) =(1)/(sqrt(2))=sin 45^(@)`
`:. (60^(@) + delta m)/( 2)=45^(@)`
`:. 60^(@) + delta m=90^(@) " " deltam=30^(@)`
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