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Ray Optics — JEE Main & Advanced Physics PYQs

637 previous year questions from Ray Optics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

A double convex lens made of glass of refractive index 1.5 and radii of curvature of the curved surfaces 20 cm each is immersed in a liquid of refractive index n_L . The correct pl

JEE Advanced 2026 Solution View → 2

A beam of polychromatic light passes through a thin prism of prism angle 6^ . The refractive index of the material of the prism varies with wavelength ( ) as n( ) = + ^2 , where =

JEE Advanced 2026 Solution View → 3

Consider two isosceles prisms 1 and 2 with prism angles A₁ and A₂ and refractive indices n₁ and n₂ , respectively, as shown in the figure. The faces a₁ b₁ and a₂ b₂ are parallel to

JEE Advanced 2026 Solution View → 4

A thin biconvex lens is prepared from the glass ( =1.5 ) both curved surfaces of which have equal radii of 20 cm each. Left side surface of the lens is silvered from outside to mak

JEE Main 2026 Solution View → 5

Light ray incident along a vector AO ( AO = 2 i -3 j ) emerges out along vector OB ( OB = C i -4 j ) as shown in the figure below. The value of C is ________.

JEE Main 2026 Solution View → 6

Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is __________.

JEE Main 2026 Solution View → 7

A concave mirror of focal length 10 cm forms an image which is double the size of object when the object is placed at two different positions. The distance between the two position

JEE Main 2026 Solution View → 8

A spherical interface lens of radius R separates two media of refractive indices 1 and 1.4 respectively as shown in the figure below. A point source is placed at a distance of 4R i

JEE Main 2026 Solution View → 9

A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?

JEE Main 2026 Solution View → 10

An object AB is placed 15 cm on the left of a convex lens P of focal length 10 cm . Another convex lens Q is now placed 15 cm right of lens P . If the focal length of lens Q is 15

JEE Main 2026 Solution View → 11

A ray of light passing through an equilateral prism is having velocity 2.12 10^8 m/s in the prism material, then the minimum angle of deviation is _________ degrees.

JEE Main 2026 Solution View → 12

A compound microscope is designed with two symmetric biconvex lenses. The objective lens is cut vertically, creating two identical plano-convex lenses. One of them is used in place

JEE Main 2026 Solution View → 13

A convex lens is made from glass material having refractive index of 1.4 with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is _____

JEE Main 2026 Solution View → 14

A rod of length 10 cm lies along the principle axis of a concave mirror of focal length 10 cm as shown in figure. The length of the image is _____ cm.

JEE Main 2026 Solution View → 15

One side of an equilateral prism is painted by a transparent material of refractive index n₂ . The refractive index of prism is 1.6 . The minimum value of n₂ required for total int

JEE Main 2026 Solution View → 16

If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the lens is kept at 30 cm above the paper. If the radius of curvature of the

JEE Main 2026 Solution View → 17

For a thin symmetric prism made of glass (refractive index 1.5 ), the ratio of incident angle and minimum deviation will be _______.

JEE Main 2026 Solution View → 18

Refer the figure given below. ₁ and ₂ are refractive indices of air and lens material. The height of image will be _______ cm.

JEE Main 2026 Solution View → 19

A biconvex lens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index and radius of curved surfaces are also mentioned in figure. When an obj

JEE Main 2026 Solution View → 20

For a transparent prism, if the angle of minimum deviation is equal to its refracting angle, the refractive index n of the prism satisfies.

JEE Main 2026 Solution View → 21

The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a plano-concave lens (refractive index =1.7 ) are same. If the curvature of planoconcave lens exactly

JEE Main 2026 Solution View → 22

A convex lens of refractive index 1.5 and focal length f=18 ~cm is immersed in water. The difference in focal lengths of the given lens when it is in water and in air is f . The va

JEE Main 2026 Solution View → 23

Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used is _ _ _ _ cm.

JEE Main 2026 Solution View → 24

Five persons P ₁, P ₂, P ₃, P ₄ and P ₅ recorded object distance ( u ) and image distance (v) using same convex lens having power +5 D as (25,96),(30,62),(35,37),(45,35) and (50,32

JEE Main 2026 Solution View → 25

The exit surface of a prism with refractive index n is coated with a material having refractive index n 2 . When this prism is set for minimum angle of deviation, it exactly meets

JEE Main 2026 Solution View → 26

In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and 5 cm. Total magnification obtained with this system for normal adjustment is (5)^

JEE Main 2026 Solution View → 27

A prism of angle 75^ and refractive index 3 is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surfa

JEE Main 2026 Solution View → 28

The size of the images of an object, formed by a thin lens are equal when the object is placed at two different positions 8 cm and 24 cm from the lens. The focal length of the lens

JEE Main 2026 Solution View → 29

A thin prism with angle 5^ of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion without deviation. The angle of second prism is _ _

JEE Main 2026 Solution View → 30

Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to B and the

JEE Main 2026 Solution View → 31

In parallax method for the determination of focal length of a concave mirror, the object should always be placed:

JEE Main 2026 Solution View → 32

The wavelength of light, while it is passing through water is 540 nm. The refractive index of water is 4 / 3 . The wavelength of the same light when it is passing through a transpa

JEE Main 2026 Solution View → 33

Consider an equilateral prism (refractive index 2 ). A ray of light is incident on its one surface at a certain angle i . If the emergent ray is found to graze along the other surf

JEE Main 2026 Solution View → 34

A parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius of curvature 50 cm. Refractive index of glass is 1.5. Th

JEE Main 2026 Solution View → 35

A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are combined together (without any gap) and this combination has magnification m₁ when an objec

JEE Main 2026 Solution View → 36

As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface. If refractive index of the material of prism is 2

JEE Main 2026 Solution View → 37

A collimated beam of light of diameter 2 mm is propagating along x -axis. The beam is required to be expanded in a collimated beam of diameter 14 mm using a system of two convex le

JEE Main 2026 Solution View → 38

In a microscope the objective is having focal length f_ o =2 ~cm and eye-piece is having focal length f_ e =4 ~cm . The tube length is 32 cm. The magnification produced by this mic

JEE Main 2026 Solution View → 39

A solid glass sphere of refractive index n= 3 and radius R contains a spherical air cavity of radius R 2 , as shown in the figure. A very thin glass layer is present at the point O

JEE Advanced 2025 Solution View → 40

Two identical concave mirrors each of focal length f are facing each other as shown in the schematic diagram. The focal length f is much larger than the size of the mirrors. A glas

JEE Advanced 2025 Solution View → 41

A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm , respectively. The concave surface is upwards and is filled with a liq

JEE Main 2025 Solution View → 42

A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens system. The distance of th

JEE Main 2025 Solution View → 43

A mirror is used to produce an image with magnification of 1 4 . If the distance between object and its image is 40 cm , then the focal length of the mirror is ________

JEE Main 2025 Solution View → 44

A transparent block A having refractive index =1.25 is surrounded by another medium of refractive index =1.0 as shown in figure. A light ray is incident on the flat face of the blo

JEE Main 2025 Solution View → 45

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : Refractive index of glass is higher than that of air. Reas

JEE Main 2025 Solution View → 46

A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed

JEE Main 2025 Solution View → 47

A lens having refractive index 1.6 has focal length of 12 cm , when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1

JEE Main 2025 Solution View → 48

Two thin convex lenses of focal length 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is :

JEE Main 2025 Solution View → 49

A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in such a way that the i

JEE Main 2025 Solution View → 50

When an object is placed 40 cm away from a spherical mirror an image of magnification 1 2 is produced. To obtain an image with magnification of 1 3 , the object is to be moved :

JEE Main 2025 Solution View → 51

Distance between object and its image ( magnified by - 1 3 ) is 30 cm. The focal length of the mirror used is ( x 4 ) cm , where magnitude of value of x is _________.

JEE Main 2025 Solution View → 52

Light from a point source in air falls on a spherical glass surface (refractive index, =1.5 and radius of curvature =50 ~cm ). The image is formed at a distance of 200 cm from the

JEE Main 2025 Solution View → 53

The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The refractive index of the lens material is

JEE Main 2025 Solution View → 54

Consider following statements for refraction of light through prism, when angle of deviation is minimum. (A) The refracted ray inside prism becomes parallel to the base. (B) Larger

JEE Main 2025 Solution View → 55

A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60^ . The refractive index of the prism material is 2 . The angle of incidence

JEE Main 2025 Solution View → 56

Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The r

JEE Main 2025 Solution View → 57

A bi-convex lens has radius of curvature of both the surfaces same as 1 / 6 ~cm . If this lens is required to be replaced by another convex lens having different radii of curvature

JEE Main 2025 Solution View → 58

A slanted object A B is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is:

JEE Main 2025 Solution View → 59

A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' O ', is : ( C is the center of curvature of the sph

JEE Main 2025 Solution View → 60

Two identical symmetric double convex lenses of focal length f are cut into two equal parts L₁, L₂ by A B plane and L₃, L₄ by X Y plane as shown in figure respectively. The ratio o

JEE Main 2025 Solution View → 61

A convex lens made of glass (refractive index =1.5 ) has focal length 24 cm in air. When it is totally immersed in water (refractive index =1.33 ), its focal length changes to

JEE Main 2025 Solution View → 62

Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B .

JEE Main 2025 Solution View → 63

At the interface between two materials having refractive indices (n₁ ) and (n₂ ), the critical angle for reflection of an em wave is ( _ 1 C ). The (n₂ ) material is replaced by an

JEE Main 2025 Solution View → 64

Let u and (v ) be the distances of the object and the image from a lens of focal length (f ). The correct graphical representation of ( u ) and (v ) for a convex lens when (| u | f

JEE Main 2025 Solution View → 65

Two light beams fall on a transparent material block at point 1 and 2 with angle ( ₁ ) and ( _ 2^ ) respectively, as shown in figure. After refraction, the beams intersect at point

JEE Main 2025 Solution View → 66

A concave mirror produces an image of an object such that the distance between the object and image is 20 cm . If the magnification of the image is ' -3 ', then the magnitude of th

JEE Main 2025 Solution View → 67

In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A . If an object placed at 13 cm f

JEE Main 2025 Solution View → 68

A thin prism P ₁ with angle 4^ made of glass having refractive index 1.54 , is combined with another thin prism P ₂ made of glass having refractive index 1.72 to get dispersion wit

JEE Main 2025 Solution View → 69

A hemispherical vessel is completely filled with a liquid of refractive index . A small coin is kept at the lowest point ( O ) of the vessel as shown in figure. The minimum value o

JEE Main 2025 Solution View → 70

A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is 2 ~cm 2 ~cm and the area of the landscape photographed is 400 ~km ^2

JEE Main 2025 Solution View → 71

What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D from 2.5D ? ['D' stands for dioptre]

JEE Main 2025 Solution View → 72

A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.2. When the plane side of the lens is silver coated for complete reflec

JEE Main 2025 Solution View → 73

A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f₁ in air. Another plano-convex lens with first surface radius of curvature 3 cm has f

JEE Main 2025 Solution View → 74

A concave mirror of focal length f in air is dipped in a liquid of refractive index . Its focal length in the liquid will be:

JEE Main 2025 Solution View → 75

The refractive index of the material of a glass prism is 3 . The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?

JEE Main 2025 Solution View → 76

A spherical surface of radius of curvature R , separates air from glass (refractive index =1.5 ). The centre of curvature is in the glass medium. A point object ' O ' placed in air

JEE Main 2025 Solution View → 77

Given a thin convex lens (refractive index ₂ ), kept in a liquid (refractive index ₁, ₁ ₂ ) having radii of curvatures |R₁ | and |R₂ | . Its second surface is silver polished. Wher

JEE Main 2025 Solution View → 78

What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' h ' in terms of the angle of incidence ' i ' and angle of refraction ' r ', if the g

JEE Main 2025 Solution View → 79

A symmetric thin biconvex lens is cut into four equal parts by two planes A B and C D as shown in figure. If the power of original lens is 4 D then the power of a part of the divid

JEE Main 2025 Solution View → 80

A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the minimum thickness of transparent film to be coated for the maximum tran

JEE Main 2025 Solution View → 81

Given is a thin convex lens of glass (refractive index ) and each side having radius of curvature R . One side is polished for complete reflection. At what distance from the lens,

JEE Main 2025 Solution View → 82

In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to |R₁ | and |R₂ | , i.e., the radii of curvature for upper

JEE Main 2025 Solution View → 83

The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view mirror, which is a convex mirror with radius of curvature R =2 ~m

JEE Main 2025 Solution View → 84

Two equilateral-triangular prisms P ₁ and P ₂ are kept with their sides parallel to each other, in vacuum, as shown in the figure. A light ray enters prism P₁ at an angle of incide

JEE Advanced 2024 Solution View → 85

A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 ~cm , while the planar surf

JEE Advanced 2024 Solution View → 86

A light ray is incident on the surface of a sphere of refractive index n at an angle of incidence ₀ . The ray partially refracts into the sphere with angle of refraction ₀ and then

JEE Advanced 2024 Solution View → 87

The following figure represents two biconvex lenses L₁ and L₂ having focal length 10 ~cm and 15 ~cm respectively. The distance between L₁ & L₂ is :

JEE Main 2024 Solution View → 88

Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on th

JEE Main 2024 Solution View → 89

The position of the image formed by the combination of lenses is :

JEE Main 2024 Solution View → 90

Critical angle of incidence for a pair of optical media is 45^ . The refractive indices of first and second media are in the ratio:

JEE Main 2024 Solution View → 91

In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division =49 MSD ; 20 divisions on main scale in e

JEE Main 2024 Solution View → 92

For the thin convex lens, the radii of curvature are at 15 ~cm and 30 ~cm respectively. The focal length the lens is 20 ~cm . The refractive index of the material is :

JEE Main 2024 Solution View → 93

The refractive index of prism is = 3 and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______.

JEE Main 2024 Solution View → 94

Given below are two statements : Statement I : When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement II : The refractive indices

JEE Main 2024 Solution View → 95

A light ray is incident on a glass slab of thickness 4 3 ~cm and refractive index 2 . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral

JEE Main 2024 Solution View → 96

An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is 25 D . Focal length of each of the convex lens is :

JEE Main 2024 Solution View → 97

The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20 cm . The focal length of the lens used is ________ cm .

JEE Main 2024 Solution View → 98

Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1 . 5 . If the source is located at 100 cm from the convex surface, the image

JEE Main 2024 Solution View → 99

The refractive index of a prism with apex angle A is c o t A 2 . The angle of minimum deviation is :

JEE Main 2024 Solution View → 100

In an experiment to measure the focal length ( f ) of a convex lens, the magnitude of object distance ( x ) and the image distance ( y ) are measured with reference to the focal po

JEE Main 2024 Solution View → 101

The distance between object and its two times magnified real image as produced by a convex lens is 45 cm . The focal length of the lens used is ________ cm .

JEE Main 2024 Solution View → 102

If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm , the focal length of the mirror must be :

JEE Main 2024 Solution View → 103

A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is :

JEE Main 2024 Solution View → 104

A biconvex lens of refractive index 1 . 5 has a focal length of 20 cm in air. Its focal length when immersed in a liquid of refractive index 1 . 6 will be:

JEE Main 2024 Solution View → 105

Two immiscible liquids of refractive indices 8 5 and 3 2 respectively are put in a beaker as shown in the figure. The height of each column is 6 cm . A coin is placed at the bottom

JEE Main 2024 Solution View → 106

If the refractive index of the material of a prism is cot A 2 , where A is the angle of prism then the angle of minimum deviation will be

JEE Main 2024 Solution View → 107

A convex lens of focal length 40 cm forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens havi

JEE Main 2024 Solution View → 108

A monochromatic light wave is incident normally on a glass slab of thickness d , as shown in the figure. The refractive index of the slab increases linearly from n 1 to n 2 over th

JEE Advanced 2023 Solution View → 109

A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is δ = 60 o

JEE Advanced 2023 Solution View → 110

An optical arrangement consists of two concave mirrors M 1 and M 2 , and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm . The

JEE Advanced 2023 Solution View → 111

The refractive index of a transparent liquid filled in an equilateral hollow prism is 2 . The angle of minimum deviation for the liquid will be _______ ° .

JEE Main 2023 Solution View → 112

A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is _____ D .

JEE Main 2023 Solution View → 113

A vessel of depth d is half filled with oil of refractive index n 1 and the other half is filled with water of refractive index n 2 . The apparent depth of this vessel when viewed

JEE Main 2023 Solution View → 114

A fish rising vertically upward with a uniform velocity of 8 m s – 1 , observes that a bird is diving vertically downward towards the fish with the velocity of 12 m s –

JEE Main 2023 Solution View → 115

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12 cm . When viewed from the opposite side, the apparent distance of the bubble is

JEE Main 2023 Solution View → 116

Two convex lenses of focal length 20 cm each are placed coaxially with a separation of 60 cm between them. The image of the distant object formed by the combination is at _____ cm

JEE Main 2023 Solution View → 117

When one light ray is reflected from a plane mirror with 30 ° angle of reflection, the angle of deviation of the ray after reflection is:

JEE Main 2023 Solution View → 118

As shown in the figure, a plane mirror is fixed at a height of 50 cm from the bottom of tank containing water μ = 4 3 . The height of water in the tank is 8 cm . A small bulb

JEE Main 2023 Solution View → 119

The critical angle for a denser-rarer interface is 45 ° . The speed of light in rarer medium is 3 × 10 8 m s - 1 . The speed of light in the denser medium is:

JEE Main 2023 Solution View → 120

The radius of curvature of each surface of a convex lens having refractive index 1 . 8 is 20 cm . The lens is now immersed in a liquid of refractive index 1 . 5 . The ratio of powe

JEE Main 2023 Solution View →
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