Practice portal › JEE › Ray Optics and Optical Instruments

Lenses for JEE: 88 solved questions

Real JEE paper questions on lenses, part of ray optics and optical instruments. Each opens with the options, the correct answer and a step-by-step solution. Papers run from 2004 to 2026. No sign-in needed to read them.

What this topic asks

• Combinations and silvered lenses — 39 questions
• Lens maker's formula and power — 28 questions
• Lens formula and magnification — 21 questions

All 88 questions with solutions

• If sunlight is focused on a paper using convex lens, it starts burning the paper in shortest time when the le… JEE Main 2nd April 2nd Shift 2026
• A convex lens is made from glass material having refractive index of 1.4 with same radius of curvature on bot… JEE Main 4th April 2nd Shift 2026
• The magnitudes of power of a biconvex lens (refractive index = 1.5) and that of a plano-concave lens (refract… JEE Main 28th Jan 1st Shift 2026
• A bi-convex lens has radius of curvature of both the surfaces same as 1/6 cm. If this lens is required to be… JEE Main 2nd April 2nd Shift 2025
• The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens… JEE Main 3rd April 1st Shift 2025
• A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the… JEE Main 7th April 1st Shift 2025
• A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in figure. If th… JEE Main 22nd Jan 2nd Shift 2025
• What is the relative decrease in focal length of a lens for an increase in optical power by 0.1D from 2.5D? [… JEE Main 24th Jan 1st Shift 2025
• A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of f₁ in air. Anot… JEE Main 24th Jan 1st Shift 2025
• A convex lens made of glass (refractive index = 1.5) has focal length 24 cm in air. When it is totally immers… JEE Main 29th Jan 2nd Shift 2025
• Two identical symmetric double convex lenses of focal length f are cut into two equal parts L₁, L₂ by AB plan… JEE Main 29th Jan 2nd Shift 2025
• For the thin convex lens, the radii of curvature are at 15 cm and 30 cm respectively. The focal length of the… JEE Main 6th April 2nd Shift 2024
• A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when immersed in… JEE Main 29th Jan 1st Shift 2024
• The power of a lens (biconvex) is 1.25 m⁻¹ in particular medium. Refractive index of the lens is 1.5 and radi… JEE Main 28th July 2nd Shift 2022
• A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the… JEE Main 27th June 2nd Shift 2022
• The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed… JEE Main 16th March 2nd Shift 2021
• The thickness at the centre of a plano convex lens is 3 mm and the diameter is 6 cm. If the speed of light in… JEE Main 17th March 1st Shift 2021 (also JEE Main 2013)
• A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature… JEE Main 6th Sept 2nd Shift 2020
• A thin lens made of glass (refractive index = 1.5) of focal length f=16 cm is immersed in a liquid of refract… JEE Main 7th Jan 2nd Shift 2020
• Formation of real image using a biconvex lens is shown here. If the whole set up is immersed in water without… JEE Main 12th Jan 2nd Shift 2019
• A thin convex lens made from crown glass (μ = 3/2) has focal length f. When it is measured in two different l… JEE Main 2014
• When monochromatic red light is used instead of blue in a convex lens, its focal length will JEE Main 2011 (Re-exam)
• A convex lens of refractive index 1.5 and focal length f = 18 cm is immersed in water. The difference in foca… JEE Main 28th Jan 1st Shift 2026
• The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 cm. The lens is no… JEE Main 11th April 1st Shift 2023
• A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the princ… JEE Main 13th April 2nd Shift 2023
• A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change in focal… JEE Main 24th Jan 2nd Shift 2023
• The graph between 1/u and 1/v for a thin convex lens in order to determine its focal length is plotted as sho… JEE Main 26th July 1st Shift 2022
• A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of th… JEE Main 8th Jan 1st Shift 2020
• A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is formed on the… JEE Main 2nd April 1st Shift 2025
• Let u and v be the distance of the object and the image from a lens of focal length f. The correct graphical… JEE Main 29th Jan 1st Shift 2025
• In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the… JEE Main 4th April 1st Shift 2024
• Given below are two statements: Statement (I): When an object is placed at the centre of curvature of a conca… JEE Main 9th April 1st Shift 2024
• For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at… JEE Main 25th July 2nd Shift 2022
• An object is placed at the focus of concave lens having focal length f. What is the magnification and distanc… JEE Main 31st Aug 1st Shift 2021
• For a concave lens of focal length f, the relation between object and image distances u and v, respectively,… JEE Main 5th Sept 1st Shift 2020
• A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two… JEE Main 9th April 2nd Shift 2019
• The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the foc… JEE Main 10th April 2nd Shift 2019
• A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the le… JEE Main 9th Jan 1st Shift 2019
• An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the o… JEE Main 11th Jan 1st Shift 2019
• An object is located in a fixed position in front of a screen. Sharp image is obtained on the screen for two… JEE Main Online 2014
• An object 2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 cm th… JEE Main 2012
• A student measures the focal length of a convex lens by putting an object pin at a distance u from the lens a… JEE Main 2008
• The size of the images of an object, formed by a thin lens are equal when the object is placed at two differe… JEE Main 23rd Jan 2nd Shift 2026
• The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20 cm. Th… JEE Main 1st Feb 1st Shift 2024
• The distance between object and its two times magnified real image as produced by a convex lens is 45 cm. The… JEE Main 30th Jan 1st Shift 2024
• In an experiment with a convex lens. The plot of the image distance (v') against the object distance (u') mea… JEE Main 28th July 2nd Shift 2022
• The same size images formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. Th… JEE Main 25th Feb 1st Shift 2021
• The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the scr… JEE Main 4th Sept 2nd Shift 2020
• A photograph of a landscape is captured by a drone camera at a height of 18 km. The size of the camera film i… JEE Main 24th Jan 2nd Shift 2025
• A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A smal… JEE Main Online 2016
• A thin convex lens and a thin concave lens are kept in contact and are co-axial. Which of the following state… JEE Main 5th April 2nd Shift 2026
• 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 n… JEE Main 5th April 2nd Shift 2026
• A thin biconvex lens is prepared from the glass (μ = 1.5) both curved surfaces of which have equal radii of 2… JEE Main 8th April 2nd Shift 2026
• A biconvex lens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index… JEE Main 28th Jan 2nd Shift 2026
• Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this… JEE Main 7th April 1st Shift 2025
• A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object… JEE Main 8th April 2nd Shift 2025
• A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm,… JEE Main 8th April 2nd Shift 2025
• In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them a… JEE Main 22nd Jan 1st Shift 2025
• Given is a thin convex lens of glass (refractive index μ) and each side having radius of curvature R. One sid… JEE Main 22nd Jan 1st Shift 2025
• Given a thin convex lens (refractive index μ₂), kept in a liquid (refractive index μ₁, μ₁<μ₂) having radii of… JEE Main 23rd Jan 1st Shift 2025
• A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index 1.… JEE Main 24th Jan 1st Shift 2025
• An effective power of a combination of 5 identical convex lenses which are kept in contact along the principa… JEE Main 4th April 1st Shift 2024
• The position of image formed by the combination of lenses is JEE Main 8th April 2nd Shift 2024
• The following figure represents two biconvex lenses L₁ and L₂ having focal length 10 cm and 15 cm respectivel… JEE Main 9th April 2nd Shift 2024
• Find the distance of the image from object O, formed by the combination of lenses in the figure. JEE Main 27th Aug 1st Shift 2021
• Curved surfaces of a plano-convex lens of refractive index μ₁ and a plano-concave lens of refractive index μ₂… JEE Main 27th Aug 2nd Shift 2021
• A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A plane m… JEE Main 6th Sept 1st Shift 2020
• A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines,… JEE Main 8th April 2nd Shift 2019
• A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such… JEE Main 9th April 2nd Shift 2019
• One plano-convex and one plano-concave lens of same radius of curvature 'R' but of different materials are jo… JEE Main 10th April 1st Shift 2019
• A plano convex lens of refractive index μ₁ and focal length f₁ is kept in contact with another plano concave… JEE Main 10th Jan 1st Shift 2019
• What is the position and nature of image formed by lens combination shown in figure? (f₁, f₂ are focal length… JEE Main 12th Jan 1st Shift 2019
• A plano-convex lens (focal length f₂, refractive index μ₂, radius of curvature R) fits exactly into a plano-c… JEE Main 12th Jan 2nd Shift 2019
• A planoconvex lens becomes an optical system of 28 cm focal length when its plane surface is silvered and ill… JEE Main Online 2018
• A convergent doublet of separated lenses, corrected for spherical aberration, has resultant focal length of 1… JEE Main Online 2018
• A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15 cm from a converging lens… JEE Main 2017
• A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and a plane mirror are arranged… JEE Main Online 2016
• A thin convex lens of focal length f is put on a plane mirror as shown in the figure. When an object is kept… JEE Main Online 2015
• Two lenses of power -15 D and +5 D are in contact with each other. The focal length of the combination is JEE Main 2007
• A plano convex lens of refractive index 1.5 and radius of curvature 30 cm is silvered at the curved surface.… JEE Main 2004
• A collimated beam of light of diameter 2 mm is propagating along x-axis. The beam is required to be expanded… JEE Main 21st Jan 1st Shift 2026
• A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses L₁ and L₂ with focal len… JEE Main 10th April 2nd Shift 2023
• Two convex lenses of focal length 20 cm each are placed coaxially with a separation of 60 cm between them. Th… JEE Main 12th April 1st Shift 2023
• As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to im… JEE Main 24th Jan 1st Shift 2023
• An object is placed on the principal axis of convex lens of focal length 10 cm as shown. A plane mirror is pl… JEE Main 25th Jan 2nd Shift 2023
• A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each… JEE Main 25th July 2nd Shift 2022
• Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each ot… JEE Main 24th June 1st Shift 2022
• An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is place… JEE Main 26th Aug 2nd Shift 2021