Ray Optics and Optical Instruments Test

Result

Ray Optics and Optical Instruments Test - 4

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Weekly Quiz Competition

Question 1
4 / -1

For a total internal reflection, which of the following is correct?

A
Light travel from rarer to denser medium

B
Light travel from denser to rarer medium

C
Light travels in air only

D
Light travels in water only

Solution

In total internal reflection, light travel from denser to rarer medium.
Question 2
4 / -1

Light travels in two media A and B with speeds 1.8 x 10⁸ m s^-1 and 2.4 x 10⁸ m s^-1 respectively. Then the critical angle between them is

A

B

C

D

Solution

Here, v_A = 1.8 × 10⁸m s⁻¹,v_B = 2.4×10⁸ ms⁻¹
Light travel slower in denser medium. Hence medium A is a denser medium and medium B is a rarer meedium. Here, light travels from medium A to medium B. Let C be the critical angle between them
Question 3
4 / -1

Critical angle of glass is θ₁ and that of water is θ₂. The critical angle for water and glass surface would be (μ_g = 3/2, μ_w = 4/3).

A
less than θ₂

B
between θ₁ and θ₂

C
greater than θ₂

D
less than θ₁

Solution

As ^wμ_g = 9/8 < ^aμ_w < ^aμ_g
∴ θ > θ₂ > θ₁
Question 4
4 / -1

Critical angle for light going from medium (i) to (ii) is θ. The speed of light in medium (i) is v, then the speed of light in medium (ii) is

A
v(1 - cosθ)

B
v/sin θ

C
v/cos θ

D
v/(1 - sin θ)

Solution

where v and v′ are the speeds of light in medium (i) and medium (ii) respectively.
Question 5
4 / -1

A ray of light travelling in a transparent medium of refractive index μ, falls on a surface separating the medium from air at an angle of incidence of 45^∘. For which of the following value of μ. the ray can undergo total internal reflection?

A
μ = 1.33

B
μ = 1.40

C
μ = 1.50

D
μ = 1.25

Solution

For total internal reflection,
sin i > sin C
where
i = angle of incidence
C = critical angle

Hence, option (c) is correct.