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GEOMETRICAL OPTICS

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Q JEE MAIN 2026
A convex lens of refractive index 1.5 and focal length $f=18 \mathrm{~cm}$ is immersed in water. The difference in focal...
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Q JEE MAIN 2026
The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a plano-concave lens (refractive index $=1.7$...
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Q JEE MAIN 2026
Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used...
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Q JEE MAIN 2026
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...
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Q JEE MAIN 2026
Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total...
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Q JEE MAIN 2026
In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and...
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Q JEE MAIN 2026
The exit surface of a prism with refractive index $n$ is coated with a material having refractive index $\frac{n}{2}$. When...
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Q JEE MAIN 2026
The size of the images of an object, formed by a thin lens are equal when the object is placed...
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Q JEE MAIN 2026
A prism of angle $75^{\circ}$ and refractive index $\sqrt{3}$ is coated with thin film of refractive index 1.5 only at...
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Q JEE MAIN 2026
A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are...
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Q JEE MAIN 2026
A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to...
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Q JEE MAIN 2026
parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius...
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Q JEE MAIN 2026
Consider an equilateral prism (refractive index $\sqrt{2}$ ). A ray of light is incident on its one surface at a...
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Q JEE MAIN 2026
In parallax method for the determination of focal length of a concave mirror, the object should always be placed :
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Q JEE MAIN 2026
The wavelength of light, while it is passing through water is 540 nm . The refractive index of water is...
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Q JEE MAIN 2026
In a microscope the objective is having focal length $f_0=2 \mathrm{~cm}$ and eye-piece is having focal length $f_e=4 \mathrm{~cm}$. The...
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Q JEE MAIN 2026
A collimated beam of light of diameter 2 mm is propagating along $x$-axis. The beam is required to be expanded...
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Q JEE MAIN 2026
As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes...
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Q JEE MAIN 2020
A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned...
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Q JEE MAIN 2020
A light ray enters a solid glass sphere of refractive index $\mu=\sqrt{3}$ at an angle of incidence $60^{\circ}$. The ray...
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Q JEE-MAIN 2019
What is the position and nature of image formed by lens combination shown in figure? ( $f_1, f_2$ are focal...
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Q JEE-MAIN 2019
A point source of light, S is placed at a distance L in front of the centre of plane mirror...
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Q JEE MAIN 2019
Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (...
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Q JEE MAIN_2019_
One plano-convex and one plano-concave lens of same radius of curvature ' R ' but of different materials are joined...
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Q JEE MAIN 2020
A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5...
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Q JEE MAIN 2020
For a concave lens of focal length f, the relation between object and image distances u and v, respectively, from...
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Q JEE MAIN 2019
A plano-convex lens (focal length $f_2$, refractive index $\mu_2$, radius of curvature $R$ ) fits exactly into a planoconcave lens(focal...
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Q JEE MAIN 2019
Formation of real image using a biconvex lens is shown below: If the whole set up is immersed in water...
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Q JEE MAIN 2019
A transparent cube of side $d$, made of a material of refractive index $\mu_2$, is immersed in a liquid of...
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Q JEE MAIN_2021
A ray of light AO in vacuum is incident on a glass slab at angle $60^{\circ}$ and refracted at angle...
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Q JEE MAIN 2020
A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of...
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Q JEE-MAIN 2020
A point like object is placed at a distance of 1 m in front of a convex lens of focal...
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Q JEE MAIN 2020
A vessel of depth 2 h is half filled with a liquid of refractive index $2 \sqrt{2}$ and the upper...
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Q JEE MAIN 2020
A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature...
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Q JEE MAIN 2019
An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens...
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Q JEE-MAIN 2020
A prism of angle $\mathrm{A}=1^{\circ}$ has a refractive index $\mu=1.5$. A good estimate for the minimum angle of deviation (in...
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Q JEE MAIN 2020
The magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its...
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Q JEE MAIN 2019
The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which...
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Q JEE MAIN 2020
The critical angle of medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\frac{4}{3}$...
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Q JEE MAIN 2019
The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the...
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Q JEE MAIN 2020
In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The...
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Q JEE Main 2019
A plano convex lens of refractive index $\mu_1$ and focal length $f_1$ is kept in contact with another plano concave...
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Q JEE MAIN 2019
Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1)...
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Q JEE MAIN 2020
The distance between an object and a screen is 100 cm . A lens can produce real image of the...
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Q JEE MAIN 2019
A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the...
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Q JEE-MAIN 2020
When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at...
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Q JEE MAIN 2019
A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror...
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Q JEE MAIN 2021
An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror....
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Q JEE MAIN 2019
A thin convex lens $L$ (refractive index $=1.5$ ) is placed on a plane mirror $M$. When a pin is...
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Q JEE MAIN 2020
If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of...
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Q JEE MAIN 2019
A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept...
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Q JEE MAIN 2021
Cross-section view of a prism is the equilateral triangle $A B C$ in the figure. The minimum deviation is observed...
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Q JEE MAIN 2019
The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to...
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Q JEE MAIN 2021
Cross-section view of a prism is the equilateral triangle $A B C$ in the figure. The minimum deviation is observed...
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Q JEE MAIN 2021
Two plane mirrors $M_1$ and $M_2$ are at right angle to each other shown. A point source ' $P$ '...
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Q JEE MAIN 2019
In figure, the optical fiber is I = 2 m long and has a diameter of $\mathrm{d}=20 \mu \mathrm{~m}$. If...
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Q JEE-MAIN 2021
Electric field of plane electromagnetic wave propagating through a non–magnetic medium is given by $...
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Q JEE-MAIN 2021
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (μ...
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Q JEE MAIN 2021
An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an...
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Q JEE MAIN 2019
A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines,...
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Q JEE MAIN 2021
Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region...
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Q JEE MAIN 2021
Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by $...
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Q JEE MAIN 2021
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (...
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Q JEE MAIN 2022
A thin prism of angle 6º and refractive index for yellow light $\left(n_Y\right)$ 1.5 is combined with another prism of...
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Q JEE Main 2019
Consider a tank made of glass (refractive index 1.5) with a thick bottom. It is filled with a liquid of...
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Q JEE Main 2019
A convex lens is put 10 cm from a light source and it makes a sharp image on a screen,...
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Q JEE MAIN 2021
The refractive index of a converging lens is 1.4 . What will be the focal length of this lens if...
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Q JEE MAIN 2021
The same size images are formed by a convex lens when the object is placed at 20cm or at 10cm...
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Q JEE MAIN 2021
The focal length f is related to the radius of curvature r of the spherical convex mirror by:
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Q JEE MAIN 2022
In an experiment with a convex lens. The plot of the image distance ( $v^{\prime}$ ) against the object distance...
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Q JEE MAIN 2022
An object ‘o’ is placed at a distance of 100 cm in front of a concave mirror of radius of...
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Q JEE MAIN 2022
A convex lens of focal length 20 cm is placed in front of convex mirror with principal axis coinciding each...
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Q JEE MAIN 2022
Light enters from air into a given medium at an angle of 45º with interface of the air-medium surface. After...
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Q JEE MAIN 2022
The $X-Y$ plane be taken as the boundary between two transparent media $M_1$ and $M_2 . M_1$ in $...
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Q JEE MAIN 2022
The power of a lens (biconvex) is $1.25 \mathrm{~m}^{-1}$ in particular medium. Refractive index of the lens is 1.5 and...
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Q JEE MAIN 2022
In the given figure, the face $A C$ of the equilateral prism is immersed in a liquid of refractive index...
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Q JEE Main 2022
In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length...
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Q JEE MAIN 2022
The graph between $\frac{1}{u}$ and $\frac{1}{v}$ for a thin convex lens in order to determine its focal length is plotted...
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Q JEE MAIN 2022
Light travels in two media $M_1$ and $M_2$ with speeds $1.5 \times 108 \mathrm{~ms}^{-1}$ and $2.0 \times 10^8 \mathrm{~ms}^{-1}$ respectively....
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Q JEE MAIN 2022
Time taken by light to travel in two different materials $A$ and $B$ of refractive indices $\mu_A$ and $\mu_B$ of...
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Q JEE MAIN 2022
For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a...
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Q JEE MAIN 2022
Which of the following statement is correct ?
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Q JEE MAIN 2022
A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For...
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Q JEE MAIN 2022
If a wave gets refracted into a denser medium, then which of the following is true?
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Q JEE MAIN 2022
A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out...
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Q JEE MAIN 2022
A small bulb is placed at the bottom of a tank containing water to a depth of $\sqrt{7} \mathrm{~m}$. The...
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Q JEE MAIN 2022
A ray of light is incident at an angle of incidence $60^{\circ}$ on the glass slab of refractive index $\sqrt{3}$....
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Q JEE-Main_2024
If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm...
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Q JEE MAIN 2024
When unpolarized light is incident at an angle of $60^{\circ}$ on a transparent medium from air. The reflectec ray is...
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Q JEE MAIN 2024
In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and...
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Q JEE MAIN_2025
Light from a point source in air falls on a spherical glass surface (refractive index, $\mu=1.5$ and radius of curvature...
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Q JEE MAIN_2023
An object is placed on the principal axis of convex lens of focal length 10 cm as shown. A plane...
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Q JEE MAIN 2025
A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20...
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Q JEE MAIN 2023
As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is...
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Q JEE MAIN 2025
A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20...
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Q JEE MAIN 2025
A mirror is used to produce an image with magnification of $\frac{1}{4}$. If the distance between object and its image...
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Q JEE MAIN 2025
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....
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Q JEE MAIN 2025
A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex...
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Q JEE MAIN 2025
A transparent block A having refractive index $\mu=1.25$ is surrounded by another medium of refractive index $\mu=1.0$ as shown in...
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Q JEE MAIN 2023
A point object, ‘O’ is placed in front of two thin symmetrical coaxial convex lenses L1 and L2 with focal...
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Q JEE MAIN 2023
A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to...
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Q JEE MAIN 2023
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature...
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Q JEE MAIN 2023
If two charges $q_1$ and $q_2$ are separated with distance ' $d$ ' and placed in a medium of dielectric...
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Q JEE MAIN_2023
Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium -1 ) and...
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Q JEE MAIN_2023
In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student...
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Q JEE MAIN_2023
A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change...
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Q JEE MAIN 2023
A thin prism P1 with an angle 6° and made of glass of refractive index 1.54 is combined with another...
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Q JEE_MAIN 2023
The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed...
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Q JEE MAIN 2023
A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is...
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Q JEE MAIN 2023
Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a...
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Q JEE MAIN_2023
When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours...
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Q JEE MAIN 2023
A fish rising vertically upward with a uniform velocity of $8 \mathrm{~ms}^{-1}$, observes that a bird is diving vertically downward...
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Q JEE MAIN 2023
Two convex lenses of focal length 20 cm each are placed coaxially with a separation of 60 cm between them....
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Q JEE MAIN 2023
The refractive index of a transparent liquid filled in an equilateral hollow prism is 2 . The angle of minimum...
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Q JEE MAIN 2023
An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect...
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Q JEE MAIN 2023
The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 cm. The lens...
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Q JEE MAIN 2023
A vessel of depth ‘d’ is half filled with oil of refractive index $\mathrm{n}_1$ and the other half is filled...
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Q JEE MAIN 2023
Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a...
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Q JEE MAIN 2023
The critical angle for a denser-rarer interface is 45°. The speed of light in rarer medium is $...
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Q JEE MAIN 2023
An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12...
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Q JEE MAIN 2023
A pole is vertically submerged in swimming pool, such that it gives a length of shadow 2.15 m within water...
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Q JEE MAIN 2023
In a reflecting telescope, a secondary mirror is used to:
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Q JEE MAIN 2023
A monochromatic light wave with wavelength $\lambda_1$ and frequency $V_1$ in air enters another medium. If the angle of incidence...
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Q JEE MAIN 2023
In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40...
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Q JEE MAIN_2023
A thin cylindrical rod of length 10 cm is placed horizontally on the principle axis of a concave mirror of...
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Q JEE MAINS 2023
A ray of light is incident from air on a glass plate having thickness $\sqrt{3} \mathrm{~cm}$ and refractive index $\sqrt{2}$....
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Q JEE MAIN
Critical angle of incidence for a pair of optical media is $45^{\circ}$.. The refractive indices of first and second media...
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Q JEE MAIN 2023
In a medium the speed of light wave decreases to 0.2 times to its speed in free space The ratio...
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Q JEE MAIN 2023
Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B....
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Q JEE MAIN 2023
A person has been using spectacles of power -1.0 diopter for distant vision and a separate reading glass of power...
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Q JEE MAIN
The refractive index of prism is $\mu=\sqrt{3}$ and the ratio of the angle of minimum deviation to the angle of...
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Q JEE MAINS 2024
The refractive index of a prism with apex angle A is cot⁡A/2. The angle of minimum deviation is :
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Q JEE MAIN 2024
Given below are two statements: Statement (I): When an object is placed at the centre of curvature of a concave...
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Q JEE MAIN
The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20" "...
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Q JEE MAIN 2024
An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis...
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Q JEE MAIN 2024
Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront...
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Q JEE MAIN 2024
In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the...
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Q JEE-Main_2024
The distance between object and its two times magnified real image as produced by a convex lens is 45cm. The...
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Q JEE MAINS 2024
The refractive index of a prism with apex angle A is cot⁡A/2. The angle of minimum deviation is :
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Q JEE MAIN 2024
A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when...
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Q JEE MAIN 2024
A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object....
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Q JEE MAIN 2025
A ray of light suffers minimum deviation when incident on a prism having angle of the ${ }_{6}^{4}$ prism equal...
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Q JEE MAIN 2025
A bi-convex lens has radius of curvature of both the surfaces same as $1 / 6 \mathrm{~cm}$. If this lens...
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Q JEE MAIN 2025
Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12...
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Q JEE MAIN 2024
Two immiscible liquids of refractive indices $\frac{8}{5}$ and $\frac{3}{2}$ respectively are put in a beaker as shown in the figure....
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Q JEE MAIN 2024
A convex lens of focal length 40 cm forms an image of an extended source of light on a photoelectric...
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Q JEE MAIN 2024
If the refractive index of the material of a prism is $\cot \left(\frac{A}{2}\right)$, where A is the angle of prism...
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Q JEE MAIN 2025
Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown...
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Q JEE MAIN 2025
Two identical symmetric double convex lenses of focal length $f$ are cut into two equal parts $\mathrm{L}_{1}, \mathrm{~L}_{2}$ by $...
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Q JEE MAIN 2025
A convex lens made of glass (refractive index $=1.5$ ) has focal length 24 cm in air. When it is...
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Q JEE MAIN 2025
Distance between object and its image (magnified by $ - \frac{1}{3}$) is 30 cm . The focal length of the...
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Q JEE MAIN 2025
When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To...
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Q JEE MAIN 2025
A concave mirror produces an image of an object such that the distance between the object and image is 20...
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Q JEE MAIN 2025
In a long glass tube, mixture of two liquids $A$ and $B$ with refractive indices 1.3 and 1.4 respectively, forms...
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Q JEE MAIN 2025
The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of...
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Q JEE MAIN 2025
Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside...
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Q JEE MAIN 2025
A photograph of a landscape is captured by a drone camera at a height of 18 km . The size...
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Q JEE MAIN 2025
A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid...
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Q JEE MAIN 2025
Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power...
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Q JEE MAIN 2025
A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal...
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Q JEE MAIN 2025
A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is...
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Q JEE MAIN 2025
A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image...
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Q JEE MAIN 2025
Two light beams fall on a transparent material block at point 1 and 2 with angle ${\theta_1}$ and ${\theta_2}$, respectively,...
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Q JEE MAIN 2025
At the interface between two materials having refractive indices ${n_1}$ and ${n_2}$ , the critical angle for reflection of an...
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Let $u$ and $v$ be the distances of the object and the image from a lens of focal length $f$....
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Q JEE MAIN 2025
A hemispherical vessel is completely filled with a liquid of refractive index $\mu$. A small coin is kept at the...
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Q JEE MAIN 2025
A thin prism ${P_1}$ with angle ${4^0}$ made of glass having refractive index 1.54, is combined with another thin prism...
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A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index...
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A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of ${f_1}$ in air. Another...
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Q JEE MAIN 2025
What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D...
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What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness 'h' in terms of...
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Q JEE MAIN 2025
Given a thin convex lens (refractive index $\mu_2$ ), kept in a liquid (refractive index $\mu_1, \mu_1
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Q JEE MAIN 2025
A spherical surface of radius of curvature R, separates air from glass (refractive index = 1.5). The centre of curvature...
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Q JEE MAIN 2025
The refractive index of the material of a glass prism is $\sqrt{3}$. The angle of minimum deviation is equal to...
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Q JEE MAIN 2025
The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view...
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Q JEE MAIN 2025
In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to...
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Q JEE MAIN 2025
Given is a thin convex lens of glass (refractive index $\mu$) and each side having radius of curvature R. One...
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Q JEE MAIN 2025
Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....
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Q JEE MAIN 2025
A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in...
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Q JEE Advanced 2022
List I contains four combinations of two lenses (1 and 2) whose focal lengths (in cm) are indicated in the...
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Q JEE Advance 2021
A wide slab consisting of two media of refractive indices $n_1$ and $n_2$ is placed in air as shown in...
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Q JEE Advance2022
An object and a concave mirror of focal length $f=10 \mathrm{~cm}$ both move along the principal axis of the mirror...
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Q JEE Advance 2021
For a prism of prism angle $\theta=60^{\circ}$, the refractive indices of the left half and the right half are, respectively,...
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Q JEE Advance 2021
An extended object is placed at point O, 10 cm in front of a convex lens L1 and a concave...
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Q JEE Advance2022
Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air...
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Q JEE Advanced 2022
A rod of length 2 cm makes an angle $\frac{2 \pi}{3}$ rad with the principal axis of a thin convex...
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Q JEE Advanced 2023
In an experiment for determination of the focal length of a thin convex lens, the distance of the object from...
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Q JEE Advanced 2023
An optical arrangement consists of two concave mirrors $M_1$ and $M_2$, and a convex lens $L$ with a common principal...
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Q JEE Advanced 2023
A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface...
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Q JEE Advance 2024
Two equilateral-triangular prisms $P_1$ and $P_2$ are kept with their sides parallel to each other, in vacuum, as shown in...
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Q JEE Advanced 2024
A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of...
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Q JEE Advance 2024
A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence...
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Q JEE ADVANCED 2025
Two identical concave mirrors each of focal length f are facing each other as shown in the schematic diagram. The...
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Q JEE ADVANCED_2025
A solid glass sphere of refractive index $n=\sqrt{3}$ and radius $R$ contains a spherical air cavity of radius $\frac{R}{2}$, as...
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