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An achromatic prism is made by crown gla...

An achromatic prism is made by crown glass prism `(A_(c) = 19^(@))` and flint glass prism `(A_(F) = 6^(@))` . If `.^(C)mu_(y) = 1.5` and `.^(F)mu_(v) = 1.66`, then resultant deviation for red coloured ray will be

A

`1.04^(@)`

B

`5^(@)`

C

`0.96^(@)`

D

`13.5^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
For achromatic combination `omega_(C ) = - omega_(F)`
`[(n_(v) - n_(r ) ) A]_(C ) = - [(n_(v) - n_(r )) A]_(F)`
`[n_(r ) A]_(C ) + [n_(r ) A]_(F) = [n_(v) A]_(C ) + [n_(v) A]_(F)`
`= 1.5 xx 19 + 6xx 1.66 = 38.5 `
Now, `[n_(r ) A]_(c ) + [n_(r ) A]_(F) `
Deviation `delta = [(n_(r) - 1) A]_(C ) + [(n_(r ) - 1) A]_(C ) `
= 38.5 - (19 + 6) `= 13.5^(@)` .
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