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Question: The respective angles of the flint and crown glass prisms are A' and A. They are to be used for disp...

The respective angles of the flint and crown glass prisms are A' and A. They are to be used for dispersion without deviation, then the ratio of their angles A'/A will be –

A

−(μy−1)(μy′−1)- \frac { \left( \mu _ { \mathrm { y } } - 1 \right) } { \left( \mu _ { \mathrm { y } } { } ^ { \prime } - 1 \right) }

B

C

(my' – 1)

D

(my – 1)

Answer

−(μy−1)(μy′−1)- \frac { \left( \mu _ { \mathrm { y } } - 1 \right) } { \left( \mu _ { \mathrm { y } } { } ^ { \prime } - 1 \right) }

Explanation

Solution

dnet = d + d' = 0

d' = – d

(m'y – 1) A' = – (my – 1) A Ž A′A=−(μy−1)(μy′−1)\frac { \mathrm { A } ^ { \prime } } { \mathrm { A } } = - \frac { \left( \mu _ { \mathrm { y } } - 1 \right) } { \left( \mu _ { \mathrm { y } } ^ { \prime } - 1 \right) }