JEE Main 2025 January Physics: Ray Optics – Previous Year Questions

Given is a thin convex lens of glass (refractive index $\mu$) and each side having radius of curvature $R$. One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself?

In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to $|R_1|$ and $|R_2|$, i.e., the radii of curvature for upper and lower surfaces of the glass lens, the power of the combination is

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

Given a thin convex lens (refractive index $\mu_2$), kept in a liquid (refractive index $\mu_1$, $\mu_1<\mu_2$) having radii of curvatures $|R_1|$ and $|R_2|$. Its second surface is silver polished. Where should an object be placed on the optic axis so that a real and inverted image is formed at the same place?

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 plano-convex lens having radius of curvature of first surface $2$ cm exhibits focal length of $f_1$ in air. Another plano-convex lens with first surface radius of curvature $3$ cm has focal length of $f_2$ when it is immersed in a liquid of refractive index $1.2$. If both the lenses are made of same glass of refractive index $1.5$, the ratio of $f_1$ and $f_2$ will be

A photograph of a landscape is captured by a drone camera at a height of $18$ km. The size of the camera film is $2\text{ cm}\times 2\text{ cm}$ and the area of the landscape photographed is $400\text{ km}^2$. The focal length of the lens in the drone camera is :

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 $|u|>f$, is

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

Two identical symmetric double convex lenses of focal length $f$ are cut into two equal parts $L_1,L_2$ by AB plane and $L_3,L_4$ by XY plane as shown in figure respectively. The ratio of focal lengths of lenses $L_1$ and $L_3$ is

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. Another car approaches him from behind with a uniform speed of $90$ km/hr. When the car is at a distance of $24$ m from him, the magnitude of the acceleration of the image of the car in the side view mirror is ‘a’. The value of $100a$ is m/s$^2$.

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

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 reflection, the lens immersed in the liquid behaves like a concave mirror of focal length $0.2$ m. The radius of curvature of the curved surface of the lens is

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 the radius of curvature of the mirror is :

The refractive index of the material of a glass prism is $\sqrt{3}$. The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism ?

A thin prism $P_1$ with angle $4^\circ$ 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 without deviation. The angle of the prism $P_2$ in degrees is

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 on the optic axis of the surface, so that its real image is formed at ‘I’ inside glass. The line OI intersects the spherical surface at P and $PO=PI$. The distance PO equals to

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 glass slab is placed in air medium?

A hemispherical vessel is completely filled with a liquid of refractive index $\mu$. A small coin is kept at the lowest point (O) of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is .

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 from the vertex of the meniscus in A forms an image with a magnification of ‘$-2$’ then the radius of curvature of meniscus is :

Two light beams fall on a transparent material block at point 1 and 2 with angle $\theta_1$ and $\theta_2$, respectively, as shown in figure. After refraction, the beams intersect at point 3 which is exactly on the interface at other end of the block. Given : the distance between 1 and 2, $d=4\sqrt{3}$ cm and $\theta_1=\theta_2=\cos^{-1}\left(\frac{n_2}{2n_1}\right)$, where refractive index of the block $n_2>$ refractive index of the outside medium $n_1$, then the thickness of the block is cm.

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. The separation between the images of O, formed by each refracting surface is :

At the interface between two materials having refractive indices $n_1$ and $n_2$, the critical angle for reflection of an em wave is $\theta_{1C}$. The $n_2$ material is replaced by another material having refractive index $n_3$ such that the critical angle at the interface between $n_1$ and $n_3$ materials is $\theta_{2C}$. If $n_3>n_2>n_1$; $\frac{n_2}{n_3}=\frac{2}{5}$ and $\sin\theta_{2C}-\sin\theta_{1C}=\frac{1}{2}$, then $\theta_{1C}$ is