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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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?

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Important Questions on Ray Optics

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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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?
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JEE Advanced

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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?

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JEE Advanced

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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

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2014>Q 28

A transparent thin film of uniform thickness and refractive index $n_{1} = 1.4$ is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index $n_{2} = 1.5$ , as shown in the figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f₁ from the film, while rays of light traversing from glass to air get focused at distance f₂ from the film. Then

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JEE Advanced

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2013>Q 29

A ray of light, travelling in the direction

\frac{1}{2} (\hat{i} + \sqrt{3} \hat{j})

, is incident on a plane mirror. After reflection, it travels along the direction

\frac{1}{2} (\hat{i} - \sqrt{3} \hat{j})

. The angle of incidence is

HARD

JEE Advanced

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 18 - Ray Optics>JEE Advanced Paper 1 - 2013>Q 30

The image of an object, formed by a plano - convex lens at a distance of

8 m

behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is

\frac{2}{3}

times the wavelength in free space. The radius of the curved surface of the lens is

For an isosceles prism of angle A and refractive index μ it is found that, the angle of minimum deviation is δm=A. Which of the following options is/are correct?

Important Questions on Ray Optics

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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?