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.For an equilateral prism the angle of minimum deviation is 300. Then the refractive index of the material of the prism is a) 1/2 b) 2 c) 2 d) 22

.For an equilateral prism the angle of minimum deviation is 300. Then the refractive index of the material of the prism is a) 1/2 b) 2 c) 2 d) 22

Grade:upto college level

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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Vikas TU
14149 Points
2 years ago
Dear stduent 
Refractive index of a prism is governed by eqn
[Sin{A+DM}/2]/SinA/2=Refractive index
=>Sin[{60+Dm}/2]/Sin(60/2)=√3
=>Sin{30+(Dm/2)}/Sin30=√3
=Sin{30+(Dm/2)}×2=√3
=>30+(Dm/2)=sin-1(√3/2)=60°=>Dm/2=60–30
Dm =30×2=60

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