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Two thin prisms are combined to form an ...

Two thin prisms are combined to form an achromatic combination. For prism I, `A=4^(@),mu_(R)=1.35, mu_(Y)=1.40,mu_(v)=1.42` For prism II, `mu_(R)^(')=1.7, mu_(Y)^(')=1.8 and mu_(V)^(')=1.9` . Find the prism angle of prism II and the net mean deviation.

Text Solution

Verified by Experts

Condition for achromatic combination.
`theta=theta^(')`
`(mu_(v)-mu_(r))A=(mu_(v)^(')-mu_(r)^('))A^(')`
`A=((1.42-1.35)4^(@))/(1.9-1.7)=1.4^(@)`
`delta_(Net)= delta-delta^(')=(mu_(Y)-1)A-(mu_(Y)-1)A^(')`
=`(1.40-1)4^(@)-(1.8-1)1.4^(@)=0.48^(@)`
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