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Geometrical Optics — JEE Main & Advanced Physics PYQs

119 previous year questions from Geometrical 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 concave mirror with a radius of curvature of 40 cm is positioned in front of an illuminated point source at a distance of 30 cm from it. Determine the location of the image.

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A 1 cm object is placed perpendicular to the principal axis of a convex mirror of focal length 7.5 cm . Determine its distance from the mirror if the resulting image is 0.6 cm in s

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A candle flame 1.6 cm high is imaged in a ball bearing of diameter 0.4 cm . If the ball bearing is 20 cm away from the flame, determine the location and the height of the image.

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A concave mirror produces an image of a 20 cm high object on a screen located 5.0 m from the mirror. The height of the image is 50 cm . Determine the focal length of the mirror and

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A concave mirror possesses a focal length of 20 cm . Determine the position or positions of an object such that the image-size is double the object-size.

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An object that is 3 cm tall is positioned at a distance of 7.5 cm from a convex mirror with a focal length of 6 cm . Determine the location, size, and nature of the image formed.

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As depicted in the figure, a U-shaped wire is situated in front of a concave mirror with a radius of curvature of 20 cm . Calculate the total length of the image.

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Determine the diameter of the image of the moon produced by a spherical concave mirror having a focal length of 7.6 m . The moon's diameter is 3450 km and the distance between the

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A person uses a concave mirror for shaving. He places his face at a distance of 25 cm from the mirror and obtains an image that is 1.4 times enlarged. Determine the focal length of

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A particle travels in a circle of radius 2.0 cm . A concave mirror having a focal length of 20 cm is positioned so that its principal axis passes through the centre of the circle a

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As depicted in the figure, a concave mirror of radius R is placed on a horizontal table. Water (refractive index = ) is poured into the mirror up to a height h . At what position s

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As shown in the figure, a point source S is positioned midway between two converging mirrors having equal focal length f . Determine the values of d for which only a single image i

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A converging mirror M₁ , a point source S , and a diverging mirror M₂ are configured as shown in the figure. The source is located at a distance of 30 cm from M₁ . Each mirror has

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A converging mirror M₁ , a point source S , and a diverging mirror M₂ are configured. The source is located at a distance of 30 cm from M₁ . Each mirror has a focal length of 20 cm

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A light ray strikes a clean slab of ice of thickness 1.00 m at an angle of 45^ to the surface. It is then refracted into the ice at an angle of 30^ . Determine the time taken by th

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A 1.00 m long pole stands half-dipped in a swimming pool where the water level is 50.0 cm above the bed. The refractive index of the water is 1.33 , and sunlight strikes at an angl

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A small piece of wood floats on the surface of a 2.5 m deep lake. Determine the position where the shadow forms on the bottom when the sun is just setting. The refractive index of

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A microscope M is focused on an object P . A glass slab having a thickness of 2.1 cm and a refractive index of 1.5 is inserted between P and M . Determine the distance by which the

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A vessel holds water up to a height of 20 cm , with an oil layer extending another 20 cm above it. The refractive indices of the water and the oil are 1.33 and 1.30 , respectively.

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Determine the position of the image of point P as observed by the eye in the figure.

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A stack of k transparent slabs is arranged one on top of another, having refractive indices ₁, ₂, ₃, , _k and respective thicknesses t₁, t₂, t₃, , t_k . If an object is viewed thro

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A cylindrical vessel with a diameter of 12 cm holds 800 cm ^3 of water. A cylindrical glass piece having a diameter of 8.0 cm and a height of 8.0 cm is placed inside the vessel. De

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Observe the setup illustrated in the figure. The base of the pot functions as a reflecting plane mirror, while S represents a small fish and T represents a human eye. The refractiv

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Observe the setup illustrated in the figure. The base of the pot functions as a reflecting plane mirror, while S represents a small fish and T represents a human eye. The refractiv

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A small object is located at the centre of the bottom of a cylindrical vessel of radius 3 cm and height 4 cm , which is completely filled with water. Consider a ray that leaves the

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A cylindrical vessel, having both its diameter and height equal to 30 cm , rests on a horizontal surface. A small particle P is located inside it at a distance of 5.0 cm from the c

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A light ray strikes a 2 cm thick plate ( = 2.0 ) at an angle of 45^ relative to the normal. Determine the shift in the path of the light as it emerges from the plate.

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An optical fibre ( = 1.72 ) is enclosed by a glass coating ( = 1.50 ). Determine the critical angle for total internal reflection at the fibre-glass interface.

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A light ray strikes the face AB of a right-angled prism ABC ( = 1.50 ) normally, as depicted in the figure. Determine the maximum value of the angle for which the light ray is tota

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Determine the maximum angle of refraction when a light ray is refracted from glass ( = 1.50 ) into air.

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Light is incident from glass ( = 1.5 ) to air. Which of the following best describes the variation of the angle of deviation with the angle of incidence i for 0 < i < 90^ ?

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Light is incident from glass ( = 1.50 ) to water ( = 1.33 ). Determine the range of the angle of deviation for which there are two angles of incidence.

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Light is incident from glass ( = 1.5 ) into air. Determine the angle of incidence that results in an angle of deviation of 90^ .

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A point source is located at a depth h beneath the surface of water (refractive index = ). Identify the shape of the area on the water surface through which light escapes, along wi

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A point source is located at a depth h beneath the surface of water (refractive index = ). Light escapes through a circular area on the water surface. Determine the angle subtended

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A container holds water up to a height of 20 cm and a point source is situated at the centre of the container's bottom. A rubber ring of radius 15 cm floats centrally on the water.

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A container holds water up to a height of 20 cm and a point source is situated at the centre of the container's bottom. A rubber ring of radius r floats centrally on the water. The

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 38

Determine the angle of minimum deviation for an equilateral prism constructed from a material with a refractive index of 1.732 . What is the corresponding angle of incidence for th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 39

Determine the angle of deviation experienced by the light ray depicted in the figure. The prism material has a refractive index = 1.5 .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 40

A light ray passing through a prism having a prism angle of 60^ is observed to deviate by 30^ . What limit can be placed on the refractive index based on this data?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 41

Determine the position of the image produced by refraction in the scenario depicted in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 42

Two transparent media A and B , having refractive indices 1.33 and 1.48 respectively, are separated by a spherical surface of radius 30 cm . Medium A lies on the convex side of thi

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The figure shows a transparent hemisphere of radius 3.0 cm made of a material of refractive index 2.0 . (a) A narrow beam of parallel rays is incident on the hemisphere as shown in

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A small object is embedded inside a glass sphere ( = 1.5 ) of radius 5.0 cm , located at a distance of 1.5 cm left to the centre. Determine the position of the image of the object

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A small object is embedded inside a glass sphere ( = 1.5 ) of radius 5.0 cm , located at a distance of 1.5 cm left to the centre. Determine the position of the image of the object

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A biconvex thick lens is made of glass ( = 1.50 ). Both of the surfaces have a radius of 10 cm , and the central thickness is 5 cm . Determine the location of the image for an obje

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A narrow pencil of parallel light falls normally on a solid transparent sphere of radius r . Determine the required refractive index if the pencil is to be focused at the surface o

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A narrow pencil of parallel light falls normally on a solid transparent sphere of radius r . Determine the required refractive index if the pencil is to be focused at the centre of

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A cylindrical glass rod ( = 1.5 ) with a radius of 1.0 cm has one end rounded into a hemispherical shape. This rod is submerged in water ( = 4/3 ). An object is positioned in the w

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A paperweight ( = 1.5 ) shaped as a hemisphere of radius 3.0 cm is placed to hold down a printed page. An observer views the page vertically through the paperweight. At what height

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A paperweight ( = 1.5 ) in the shape of a hemisphere of radius 3.0 cm is placed to hold down a printed page. The paperweight is inverted in its place such that the spherical surfac

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 52

A hemispherical section of the surface of a solid glass sphere ( = 1.5 ) of radius r is silvered to render the inner side reflecting. An object is positioned on the axis of the hem

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A thin concavo-convex glass lens (refractive index 1.5 ) features a convex surface with a 20 cm radius of curvature and a concave surface with a 60 cm radius of curvature. The conv

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A thin concavo-convex glass lens (refractive index 1.5 ) features a convex surface with a 20 cm radius of curvature and a concave surface with a 60 cm radius of curvature. The conv

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A double convex lens has a focal length of 25 cm . The radius of curvature of one of its surfaces is twice that of the other. Determine the radii, given that the refractive index o

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A lens has radii of curvature of +20 cm and +30 cm . The material of the lens has a refracting index of 1.6 . Determine the focal length of the lens when it is placed in air.

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The radii of curvature of a lens are +20 cm and +30 cm . The refracting index of the lens material is 1.6 . Find the focal length of the lens if it is placed in water ( = 1.33 ).

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Lenses are fabricated from a material having a refractive index of 1.50 . The magnitudes of the radii of curvature are 20 cm and 30 cm . Determine the focal lengths of all the poss

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A thin biconvex lens, constructed from a material with refractive index ₂ , is flanked by a medium of refractive index ₁ on one side and a medium of refractive index ₃ on the oppos

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A biconvex thin lens, fabricated from a material of refractive index ₂ , separates a medium of refractive index ₁ on one face and a medium of refractive index ₃ on the other face.

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A convex lens has a focal length of 10 cm . Determine the location and nature of the image when a point object is positioned on the principal axis at a distance of 9.8 cm from the

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A convex lens has a focal length of 10 cm . Determine the location and nature of the image when a point object is positioned on the principal axis at a distance of 10.2 cm from the

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A slide projector is required to project a 35 mm slide ( 35 mm 23 mm ) onto a 2 m 2 m screen located at a distance of 10 m from the lens. Determine the focal length of the projecto

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Along the principal axis of a convex lens having a focal length of 12 cm , a particle performs simple harmonic motion with an amplitude of 1.0 cm . The oscillation has its mean pos

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An extended object is placed at a distance of 5.0 cm from a convex lens of focal length 8.0 cm . If a ray diagram is drawn to scale to locate the image, what is the distance of the

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An extended object is placed at a distance of 5.0 cm from a convex lens of focal length 8.0 cm . Find the position of the image from the lens formula, applying the standard Cartesi

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A pin of length 2.00 cm is positioned perpendicular to the principal axis of a converging lens. An inverted image measuring 1.00 cm in size is produced at a distance of 40.0 cm fro

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A double size real image is produced by a convex lens when an object is placed 18 cm away from it. To produce a triple size real image, where should the object be placed?

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A pin of length 2.0 cm lies along the principal axis of a converging lens, with its centre positioned at a distance of 11 cm from the lens. The lens has a focal length of 6 cm . De

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 70

The distance of the sun from the earth is 1.5 10¹¹ m , and its diameter is 1.4 10^9 m . Determine the radius of the sun's image produced by a lens with a focal length of 20 cm .

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A 5.0 diopter lens produces a virtual image which is 4 times the object placed perpendicularly on the principal axis of the lens. Determine the distance of the object from the lens

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A diverging lens with a focal length of 20 cm and a converging mirror with a focal length of 10 cm are arranged coaxially with a separation of 5 cm . At what distance should an obj

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A converging lens of focal length 12 cm and a diverging mirror of focal length 7.5 cm are positioned 5.0 cm apart with their principal axes coinciding. Determine where an object sh

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A converging lens and a diverging mirror are positioned with a separation of 15 cm . The focal length of the lens is 25 cm while that of the mirror is 40 cm . Determine where a poi

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A converging lens with a focal length of 15 cm and a converging mirror with a focal length of 10 cm are positioned 50 cm apart, sharing a common principal axis. A point source is s

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A converging lens having a focal length of 15 cm and a converging mirror with a focal length of 10 cm are positioned 50 cm apart along a common principal axis. At what location on

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A converging lens of focal length 15 cm and a converging mirror of focal length 10 cm are positioned 50 cm apart. A pin of length 2.0 cm is kept 30 cm from the lens on the side far

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 78

A point object is situated on the principal axis of a convex lens ( f = 15 cm ) at a distance of 30 cm from it. On the opposite side of the lens, a glass plate ( = 1.50 ) of thickn

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A convex lens of focal length 20 cm and a concave lens of focal length 10 cm are placed 10 cm apart with their principal axes coinciding. A beam of light travelling parallel to the

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A diverging lens having a focal length of 20 ext cm and a converging lens having a focal length of 30 ext cm are positioned 15 ext cm apart, with their principal axes coinciding. W

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 81

Situated at a distance of 15 cm from a convex lens of focal length 10 cm is a 5 mm high pin. A second lens having a focal length of 5 cm is positioned 40 cm from the first lens and

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A 5 mm high pin is situated at a distance of 15 cm from a convex lens of focal length 10 cm . Positioned 40 cm from the first lens and 55 cm from the pin is a second lens having a

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 83

At a distance of 15 cm from a convex lens of focal length 10 cm , a 5 mm high pin is placed. A second lens of focal length 5 cm is located 40 cm from the first lens and 55 cm from

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 84

A point object is positioned at a distance of 15 cm from a convex lens. The image forms on the opposite side at a distance of 30 cm from the lens. When a concave lens is placed in

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 85

Two convex lenses, each having a focal length of 10 cm , are positioned at a separation of 15 cm with their principal axes coinciding. What happens to a light beam coming parallel

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Two convex lenses, each having a focal length of 10 cm , are positioned at a separation of 15 cm with their principal axes coinciding. Determine the location of the virtual image p

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Two convex lenses, each having a focal length of 10 cm , are positioned at a separation of 15 cm with their principal axes coinciding. Compute the focal length of the equivalent le

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A ball is held at a height h above the surface of a heavy transparent sphere having a refractive index . The radius of the sphere is R . At t = 0 , the ball is released to fall nor

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A particle travels at a constant speed V from a large distance towards a concave mirror of radius R , moving along the mirror's principal axis. Determine the speed of the image for

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 90

A small block of mass m and a concave mirror of radius R fitted with a stand lie on a smooth horizontal table with a separation d between them. The mirror together with its stand h

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 91

A gun of mass M fires a bullet of mass m with a horizontal speed V . The gun is equipped with a concave mirror of focal length f facing towards the receding bullet. Determine the s

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 92

A mass m = 50 g is released from a height h = 10 cm above a vertical spring having a spring constant of 500 N m ⁻¹ , as shown in the figure. Upon impact, the mass sticks to the spr

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 93

Two concave mirrors of equal radii of curvature R are fixed on a stand facing opposite directions. The whole system has a mass m and is kept on a frictionless horizontal table as s

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 94

Consider the situation shown in the figure. The elevator is travelling upwards with an acceleration of 2.00 m s ⁻² and the focal length of the mirror is 12.0 cm . All the surfaces

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 95

A point source of light is positioned in front of a plane mirror.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 96

When studying image formation by spherical mirrors, only paraxial rays are considered because they

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A point object is situated at a distance of 30 cm from a convex mirror having a focal length of 30 cm . The image will be formed at

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 98

As shown in the figure, two rays A and B are reflected by a mirror and travel as A' and B' . The mirror

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 99

Three transparent media having refractive indices ₁ , ₂ , and ₃ are shown in the figure. A point object O is located in the medium ₂ . When the entire medium to the right of the sp

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 100

Total internal reflection can occur only when

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 101

To account for the effect of the lens thickness t , four modifications to the lens formula are proposed. Which of these is most likely correct?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 102

Consider a double convex lens that has two surfaces of equal radii R and a refractive index m = 1.5 . The focal length f is given by:

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 103

A point source of light is located at a distance of 2f from a converging lens with a focal length of f . On the opposite side of the lens, the intensity will be maximum at a distan

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 104

A parallel beam of light strikes a converging lens parallel to its principal axis. As a person moves away from the lens along the principal axis on the opposite side, the intensity

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 105

A symmetric double convex lens is sliced into two equal parts by a plane perpendicular to its principal axis. Given that the power of the original lens was 4 D , the power of one c

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 106

The image produced by a concave mirror

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 107

A symmetric double convex lens is divided into two equal halves by a plane containing the principal axis. If the original lens has a power of 4 D , the power of one of the divided

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 108

Two concave lenses L₁ and L₂ are placed in contact with one another. If the gap between the two lenses is filled with a substance of smaller refractive index, the magnitude of the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 109

A thin lens is constructed from a material with a refractive index of = 1.5 , and both of its sides are convex. When it is immersed in water ( = 1.33 ), it will act as

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 110

A point object O is situated on the principal axis of a convex lens having a focal length f = 20 cm , at a distance of 40 cm to its left. The lens has a diameter of 10 cm . An eye

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 111

A convex lens is fabricated from a material possessing a refractive index of 1.2 . Both of its surfaces are convex. If immersed in water ( = 1.33 ), it will function as

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 112

The defect where rays of different colours fail to converge at a single point after passing through a converging lens is termed

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 113

If light travelling in a straight line bends by a small but fixed angle, it could be an instance of

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 114

The image of an extended object, positioned perpendicular to the principal axis of a mirror, will be erect if

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 115

A real image of a point object located on the principal axis is produced by a convex lens. If the upper half of the lens is coated black,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 116

With reference to a spherical mirror, which of the following do(es) not depend on whether the rays are paraxial or not?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 117

Identify the correct statement among the following.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 118

Suppose three converging lenses L₁ , L₂ , and L₃ share an identical geometrical construction. The refractive indices of L₁ and L₂ are ₁ and ₂ , respectively. As shown in the figure

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 119

A screen is located at a distance of 40 cm from an illuminated object. A converging lens is placed between the object and the screen in an attempt to form an image of the object on

Concepts Of Physics MCQ Edition [Volume 1] Solution View →
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