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Question: A thin prism P<sub>1</sub> with angle 6<sup>0</sup> and made from glass of refractive index 1.54 is ...

A thin prism P1 with angle 60 and made from glass of refractive index 1.54 is combined with another thin prism P2 of refractive index 1.72 to produce dispersion without deviation. The angle of prism P2 will be –

A

50 24'

B

40 30'

C

60

D

80

Answer

40 30'

Explanation

Solution

AA\frac { \mathrm { A } ^ { \prime } } { \mathrm { A } } = (μ1)(μ1)\frac { ( \mu - 1 ) } { \left( \mu ^ { \prime } - 1 \right) } Ž = – (1.541)(1.721)\frac { ( 1.54 - 1 ) } { ( 1.72 - 1 ) }

Ž A' = – 4.50 = 4030'

Option B is correct.