Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 For an isosceles prism of angle A and refrac…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 Single Correct MCQ
Published on: August 14, 2026

For an isosceles prism of angle A and refractive index , it is found that the angle of minimum deviation = A. Which of the following options is/are correct?

A
At minimum deviation, the incident angle ii and the refracting angle n at the first refracting surface are related by r 1 = (i 1/2 ).
B
For this prism the refractive index |i and the angle of prism A are related as .
C
For this prism, the emergent ray at the second surface will be tangential to the surface when the angle of incidence at the first surface is
D
For the angle of incidence i 1 = A, the ray inside the prism is parallel to the base of the prism.

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

(a, c, d)

The minimum deviation produced by a prism

m = 2i - A = A

i 1 = i 2 = A and r 1 = r 2 = A/2

r 1 = i 1 /2

Now using Snell's law

sin A = sin A/2

= 2 cos (A/2)

For this prism when the emergent ray at the second surface is tangential to the surface

i 2 = /2

so,

so,

For minimum deviation through isosceles prism, the ray inside the prism is parallel to the base of the prism.

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