Solveeit Logo
Login

Question

Question: Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refr...

Flint glass prism is joined by a crown glass prism to produce dispersion without deviation. The refractive indices of these for mean rays are 1.602 and 1.500 respectively. Angle of prism of flint prism is 100, then the angle of prism for crown prism will be

A

12∘2.4′12 ^ { \circ } 2.4 ^ { \prime }

B

C

1.24∘1.24 ^ { \circ }

D

120

Answer

12∘2.4′12 ^ { \circ } 2.4 ^ { \prime }

Explanation

Solution

For dispersion without deviation ACAF=(μF−1)(μC−1)\frac { A _ { C } } { A _ { F } } = \frac { \left( \mu _ { F } - 1 \right) } { \left( \mu _ { C } - 1 \right) }

A10=(1.602−1)(1.500−1)\frac { A } { 10 } = \frac { ( 1.602 - 1 ) } { ( 1.500 - 1 ) } ⇒\Rightarrow A=12.04∘=12∘2.4′A = 12.04 ^ { \circ } = 12 ^ { \circ } 2.4 ^ { \prime }