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A ray of light passes through an equilateral prism such that angle of incidence is equal to angle of emergence and the latter is equal to ${(\frac{3}{4})}^{t h}$ of the angle of prism. The angle of deviation is (in $^{\circ}$ )

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Important Questions on Ray Optics and Optical Instruments

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Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

The angle of a prism is

60^{o}

. When light is incident at an angle of

60^{o}

on the prism, the angle of emergence is

40^{o}

. The angle of incidence

i

for which the light ray will deviate the least is such that

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

The refracting angle of a prism is

A

, and refractive index of the material of the prism is

\cot (\frac{A}{2})

. The angle of minimum deviation is

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A glass prism has a right-triangular cross section,

A B C

, with

∠ A = 90 °

. A ray of light parallel to the hypotenuse,

B C

and, incident on the side,

A B

emerges grazing the side,

A C

. Another ray, again parallel to the hypotenuse,

B C

, incident on the side,

A C

suffers total internal reflection at the side,

A B

. Which one of the following must be true about the refractive index,

μ

of the material of the prism?

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

Monochromatic light passes through a prism. Compared to that in air, inside the prism the light's

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A parallel beam of light is incident from air at an angle

α

on the side PQ of a right angled triangular prism of refractive index

n = \sqrt{2}

. Light undergoes total internal reflection in the prism at the face PR when

α

has a minimum value of

45^{o} .

The angle

θ

of the prism is:

Question Image

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A rectangular block is composed of three different glass prisms (with refractive indices $μ_{1}, μ_{2} a n d μ_{3}$ ) as shown in the figure below. A ray of light incident normal to the left face emerges normal to the right face. Then the refractive indices are related by

Question Image

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A ray of light is incident at an angle of

60^{\circ}

on one face of a prism of angle

30^{\circ}

. The emergent ray of light makes an angle of

30^{\circ}

with incident ray. The angle made by the emergent ray with second face of prism will be:

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A ray of light is incident at

60 °

on one face of a prism of angle

30 °

and the emergent ray makes

30 °

with the incident ray. The refractive index of the prism is

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

The graph between angle of deviation

(δ)

and angle of incidence

(i)

for a triangular prism is represented by :

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

It was found that the refractive index of material of a certain prism varied as

1.5 + \frac{0.004}{λ^{2}},

where

λ

is the wavelength of light used to measure the refractive index. The same material was then used to construct a thin prism of apex angle

10 °

. Angles of minimum deviation

(δ_{m})

of the prism were recorded for the sources with wavelengths

λ_{1}

and

λ_{2}

respectively. Then

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A thin prism having refracting angle

10^{o}

is made of glass of refractive index 1.42. This prism is combined with another thin prism made of glass of refractive index 1.7. This combination produces dispersion without deviation. The refracting angle of second prism should be

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

Monochromatic light is incident on a glass prism of angle A. If the refractive index of the material of the prism is

μ

, a ray, incident at an angle

θ

, on the face AB would get transmitted through the face AC of the prism provided:

Question Image

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

In an experiment for determination of refractive index of glass of a prism by

i

v/s

δ

plot, it was found that a ray incident at angle

35^{o}

, suffers a deviation of

40^{o}

and that it emerges at angle

79^{o}

. In that case which of the following is closest to the maximum possible value of the refractive index?

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A prism is made up of material of refractive index

\sqrt{2} .

The angle of the prism is

A

. If the angle of minimum deviation is equal to the angle of the prism, the value of

A

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

For an isosceles prism of angle

A

and refractive index

μ

it is found that, the angle of minimum deviation is

δ_{m} = A

. Which of the following options is/are correct?

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A certain prism produces a minimum deviation of

42 ° .

It produces a deviation of

45 °

when the angle of incidence is either

43 °

62 ° .

The angle of incidence when the prism undergoes minimum deviation is

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A certain prism is found to produce a minimum deviation of

38 °

. It produces a deviation of

44 °

when the angle of incidence is either

42 °

62 °

. What is the angle of incidence when it is undergoing minimum deviation?

MEDIUM

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

What is the required condition, if the light incident on one face of a prism, does not emerge from the other face?

EASY

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

The angle of incidence for a ray of light at a refracting surface of a prism is

45^{o}

. The angle of prism is

60^{o}

. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:

HARD

Physics>Optics>Ray Optics and Optical Instruments>Refraction Through a Prism

A small angled prism of

4 °

deviates a ray through

2.48 °

. Find the refractive Index of the prism.

A ray of light passes through an equilateral prism such that angle of incidence is equal to angle of emergence and the latter is equal to 34th of the angle of prism. The angle of deviation is (in∘)

Important Questions on Ray Optics and Optical Instruments

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A ray of light passes through an equilateral prism such that angle of incidence is equal to angle of emergence and the latter is equal to ${(\frac{3}{4})}^{t h}$ of the angle of prism. The angle of deviation is (in $^{\circ}$ )