Question

An equilateral prism of ice (n=1.31) is immersed in water (n=1.33).Calculate the angle of Deviation produced for a ray of light incident at 30° on one face of the prism.​

Answer 1

Explanation:

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Answer 2

Given:

An equilateral prism of ice (n=1.31) is immersed in water (n=1.33).

To find:

Calculate the angle of Deviation produced for a ray of light incident at 30° on one face of the prism.​

Solution:

From given, we have,

For an equilateral prism,

A =  30° , aμg = 1.31, aμw = 1.33

∴ wμg = 1.31/1.33 = 0.9849

For refraction, we have,

i1 = 30°, r1 = ?

wμg = sin i1/sin r1 = 0.9849

sin r1 = sin i1/0.9849 = sin 30°/0.9849 = 0.5076

∴ r1 = 30.50°

r1 + r2 = A

r2 = A - r1 = 60° - 30.50° = 29.49°

Again,

wμg = sin i2/sin r2

wμg = sin i2/sin 29.49° = 0.9849

sin i2 = 0.4848

i2 = 29°

Angle of deviation,

δ = i1 + i2 - A = 30° + 29° - 60° = -1°

Therefore, the angle of deviation is 1°