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A glass prism with a refracting angle of...

A glass prism with a refracting angle of `60^(@)` has a refractive index 1.52 for red and 1.6 for violet light. A parallel beam of white is incident on one face at an angle of incident which gives minimum deviation for red light. Find :
[Use : `sin(50^(@))=0.760 , sin(31.6^(@))=0.520 , sin (28.4^(@))=0.475 , sin (56^(@))= 0.832 , = 22//7`]
The angle of incidence at the prism is :

A

`6^(@)`

B

`4.8^(@)`

C

`9.6^(@)`

D

`12^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
For violet light
`(1) sin 50^(@) = (1.6) sin r`
`:. R = 28.4^(@) r' = 31.6^(@) (r + r' =A)`
`(1) sin e = (1.6) sin 31.6^(@)`
`:. e=56^(@) rArr delta_(v) =1+e -A = 50^(@) +56^(@) -60^(@)`
`= 46^(@)`
`:.` angular width `= delta_(v) - delta_(R) = 6^(@)`
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