Refraction & Lenses: JEE Questions & Solutions

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…

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…

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…

Five persons P₁, P₂, P₃, P₄ and P₅ recorded object distance u and image distance v using same convex lens having power +5 D as (25,96),…

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…

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…

A biconvex lens is formed by using two plano-convex lenses as shown in the figure. The refractive index and radius of curvature of surfaces…

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.,…

Given is a thin convex lens of glass (refractive index μ) and each side having radius of curvature R. One side is polished for complete…

A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in the figure. If the power of the original…

A spherical surface of radius of curvature R, separates air from glass (refractive index = 1.5). The center of curvature is in the glass…

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…

Given a thin convex lens (refractive index μ₂), kept in a liquid (refractive index μ₁, μ₁ < μ₂) having radii of curvature |R₁| and |R₂|.…

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

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…

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…

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…

In a long glass tube, a mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus…

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…

Two light beams fall on a transparent material block at point 1 and 2 with angle θ₁ and θ₂, respectively, as shown in the figure. After…

Two identical symmetric double convex lenses of focal length f are cut into two equal parts L₁, L₂ by the AB plane and L₃, L₄ by the XY…

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…

A convex lens made of glass (refractive index = 1.5) has a focal length of 24 cm in air. When it is totally immersed in water (refractive…

A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by…

A spherical surface separates two media of refractive indices n₁ = 1 and n₂ = 1.5. The object O is placed 0.2 m to the left of the…

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…

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…

A monochromatic light of frequency 5 × 10¹⁴ Hz travelling through air, is incident on a medium of refractive index '2'. Wavelength of the…

Light from a point source in air falls on a spherical glass surface (refractive index, μ = 1.5 and radius of curvature R = 50 cm). The…

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…

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

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…

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A): Refractive index of…

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…

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…

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…

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

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

The following figure represents two biconvex lenses L₁ and L₂ having focal lengths 10 cm and 15 cm, respectively. The distance between L₁…

A combination of a thin plano-concave lens and a thin plano-convex lens is used to image an object placed at infinity, so that light…

When a beam of white light is allowed to pass through a convex lens parallel to the principal axis, the different colours of light converge…

A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change in focal length of the lens will be:…

A ray of light is incident from air on a glass plate having thickness √3 cm and refractive index √2. The angle of incidence of the ray is…

An object is placed on the principal axis of a convex lens of focal length 10 cm as shown. A plane mirror is placed on the other side of…

A person has been using spectacles of power -1.0 diopter for distant vision and a separate reading glass of power 2.0 diopters. What is the…

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index 5/3 is poured inside the bucket, then the…

A monochromatic light wave with wavelength λ₁ and frequency ν₁ in air enters another medium. If the angle of incidence and angle of…

A pole is vertically submerged in a swimming pool, such that it gives a length of shadow 2.15 m within water when sunlight is incident at…

A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses L₁ and L₂ with focal lengths of 24 cm and 9 cm…

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…

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…

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…

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…