Ray Optics and Optical Instruments Test

Result

Ray Optics and Optical Instruments Test - 5

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Weekly Quiz Competition

Question 1
4 / -1

Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60^o). In the position of minimum deviation, the angle of refraction will be:

A
30^∘ for both the colours

B
greater for violet colour

C
greater for red colour

D
equal but not 30^∘ for both the colours

Solution

During minimum deviation,
r₁ = r₂ = A/2 = 60°/2 = 30^∘(∵ A = 60°)
Also, the angle of refraction does not depend on the color of beams of light.
Question 2
4 / -1

A ray of light passes through an equilateral prism (refractive index 1.5) such that angle of incidence is equal to angle of emergence and the latter is equal to 3/4th of the angle of prism. The angle of deviation is

A
60°

B
30°

C
45°

D
120°

Solution

Here, A = 60^∘, μ = 1.5,

A + δ = i + e
∴ 60^∘ + δ = 45^∘ + 45^∘⇒ δ = 90^∘ − 60^∘ = 30^∘.
Question 3
4 / -1

A ray is incident at an angle of incidence i on one surface of prism of small angle A and emerges normally from the opposite surface. If the refractive index of the material of the prism is μ, the angle of incidence is nearly equal to

A
A/μ

B
A/2μ

C
μA

D
μA/2

Solution

As refracted ray emerges normally from opposite surface, r₂ = 0
As A = r₁ + r₂ ∴ r₁ = A
Question 4
4 / -1

The angle of minimum deviation for prism of angle π/3 is π/6, if the velocity of light in vacuum is 3 × 10⁸ ms⁻¹, then the velocity of light in material of the prism is

A
2.12 × 10⁸ m s⁻¹

B
1.12 × 10⁸ m s⁻¹

C
4.12 × 10⁸ m s⁻¹

D
5.12 × 10⁸ m s⁻¹

Solution

or v = 2.12 × 10⁸ m s⁻¹
Question 5
4 / -1

For a glass prism (μ = √3) the angle of minimum deviation is equal to the angle of the prism. The angle of the prism is

A
45°

B
30°

C
90°

D
60°

Solution

According to question, δ_m = A

⇒ A/2 = 30^∘⇒ A = 60^∘