For a prism of prism angle θ = 60 ° , the refractive indices of the left half and the right half are, respectively, n 1 and n 2 , n 2 ≥ n 1 as shown in the figure. The angle of incidence i is chosen such that the incident light rays will have minimum deviation if n 1 = n 2 = n = 1 . 5 . For the case of unequal refractive indices, n 1 = n and n 2 = n + ∆ n (where ∆ n < < n ), the angle of emergence e = i + ∆ e . Which of the following statement(s) is(are) correct?

∆ e lies between 2 . 0 and 3 . 0 milliradian, if ∆ n = 2 . 8 × 10 - 3 .

The value of ∆ e (in radians) is greater than that of ∆ n .

∆ e lies between 1 . 0 and 1 . 6 milliradians, if ∆ n = 2 . 8 × 10 - 3

A wide slab consisting of two media of refractive indices n 1 and n 2 is placed in air as shown in the figure. A ray of light is incident from medium n 1 to n 2 at an angle θ , where sin θ is slightly larger than 1 n 1 . Take refractive index of air as 1 . Which of the following statement(s) is (are) correct?

The light ray is reflected back into the medium of refractive index n 1 if n 2 = 1 .

The light ray enters air if n 2 = n 1 .

A beaker of radius r is filled with water refractive index 4 3 up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed ω . This makes the water surface curved so that the difference in the height of water level at the centre and at the circumference of the beaker is h h ≪ H , h ≪ r , as shown in the figure on the right. Take this surface to be approximately spherical with a radius of curvature R . Which of the following is/are correct? ( g is the acceleration due to gravity)

Apparent depth of the bottom of the beaker is close to 3 H 4 1 + ω 2 H 4 g - 1

Apparent depth of the bottom of the beaker is close to 3 H 2 1 + ω 2 H 2 g - 1

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A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale)

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Important Questions on Ray Optics

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2019>Q 18

A thin convex lens is made of two materials with refractive indices

n_{1}

and

n_{2},

as shown in figure. The radius of curvature of the left and right spherical surfaces are equal.

f

is the focal length of the lens when

n_{1} = n_{2} = n .

The focal length is

f + Δ f

when

n_{1} = n

and

n_{2} = n + Δ n .

Assuming

Δ n ≪ (n - 1)

and

1 < n < 2,

the correct statement(s) is/are:
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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2019>Q 19

A planar structure of length

L

and width

W

is made of two different optical media of refractive indices

n_{1} = 1.5

and

n_{2} = 1.44

as shown in figure. If

L ≫ W,

a ray entering from end

A B

will emerge from end

C D

only if the total internal reflection condition is met inside the structure. For

L = 9.6 m,

if the incident angle

θ

is varied, the maximum time taken by a ray to exit the plane

C D

t \times 10^{- 9} s,

where

t

is ____.

[Speed of light

c = 3 \times 10^{8} m s^{- 1}]

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2018>Q 20

Sunlight of intensity

1 .3 kW m^{- 2}

is incident normally on a thin convex lens of focal length

20 cm

. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The average intensity of light, in

kW m^{- 2}

, at a distance

22 cm

from the lens on the other side is __________.

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2017>Q 21

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?

EASY

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2016>Q 23

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:

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HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2016>Q 24

A transparent slab of thickness

d

has a refractive index

n (z)

that increases with

z

. Here

z

is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices

n_{1} and n_{2} (> n_{1}),

as shown in the figure. A ray of light is incident with angle

θ_{i}

from medium 1 and emerges in medium 2 with refraction angle

θ_{f}

with a lateral displacement

l

. Which of the following statement(s) is (are) true?
Question Image

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2016>Q 25

A plano-convex lens is made of a material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex surface of the lens, another faint image is observed at a distance of 10 cm away from the lens. Which of the following statement(s) is (are) true?

MEDIUM

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2015>Q 27

Two identical glass rods

S_{1}

and

S_{2}

(refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light

P

is placed inside rod

S_{1}

on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside

S_{2}

. The distance

d

A parallel beam of light strikes a piece of transparent glass having cross section as shown in the figure below. Correct shape of the emergent wavefront will be (figures are schematic and not drawn to scale)

Important Questions on Ray Optics

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