Question

Three rays (1, 2, 3) of different colours fall normally on one of the sides of an isosceles right angled prism as shown. The refractive index of prism for these rays is 1.39, 1.47 and 1.52 respectively. Find which of these rays get internally reflected and which get only refracted from AC. Trace the paths of rays. Justify your answer with the help of necessary calculations.

Answer 1

answer is 41.13°

Explanation:

Critical angle for ray 1:

sin (C1) = 1 /μ = 1/1.39

c1 = sin^-1 (1/1.39) = 46.00°

For ray 2:

Sun (c2) = 1/μ2 = 42.86°

Similarly for ray 3:

Sin (c3) = 1/μ3 = 1/ 1.52 = 41.13°

The ray will get reflected completely from side AC at angle 46°. And ray 2 \and 3 will be refracted as their angle is less than the ray 1.

Learn more about critical angle here:

What is critical angle

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Answer 2

Answer:

1 will get refracted and 2 and 3 will be reflected

Explanation:

It is because for 1 incident angle is less than critical angle and for 2 and 3 incident angle is greater than critical angle.