Geometrical Optics PYQs - Last 10 Years

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Practice 240 JEE Main Physics questions from Geometrical Optics. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

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Last 10 Years Geometrical Optics Questions

Showing 50 of 240 filtered questions.

1Geometrical Optics

A slanted object $A B$ is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side. Angle made by the image with principal axis is :

2Geometrical Optics

A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to $60^{\circ}$. The refractive index of the prism material is $\sqrt{2}$. The angle of incidence (in degrees) is__________

INTEGER+4 / -12025

3Geometrical Optics

A bi-convex lens has radius of curvature of both the surfaces same as $1 / 6 \mathrm{~cm}$. If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides $\left(R_1 \neq R_2\right)$, witho...

4Geometrical Optics

Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by c...

5Geometrical Optics

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...

INTEGER+4 / -12025

6Geometrical Optics

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

7Geometrical Optics

Two identical symmetric double convex lenses of focal length f are cut into two equal parts L1, L2 by AB plane and L3, L4 by XY plane as shown in figure respectively. The ratio of focal lengths of lenses L1 and L3 is

8Geometrical Optics

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 refra...

9Geometrical Optics

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

10Geometrical Optics

A hemispherical vessel is completely filled with a liquid of refractive index $\mu$. A small coin is kept at the lowest point $(\mathrm{O})$ of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a...

11Geometrical Optics

A thin prism $\mathrm{P}_1$ with angle $4^{\circ}$ made of glass having refractive index 1.54 , is combined with another thin prism $\mathrm{P}_2$ made of glass having refractive index 1.72 to get dispersion without deviation. The angle of ...

12Geometrical Optics

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 ma...

13Geometrical Optics

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 :

14Geometrical Optics

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 r...

15Geometrical Optics

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...

16Geometrical Optics

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

17Geometrical Optics

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

18Geometrical Optics

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 ima...

19Geometrical Optics

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?

20Geometrical Optics

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 $\left|R_1\right|$ and $\left|R_2\right|$. Its second surface is silver polished. Where should an obj...

21Geometrical Optics

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?

22Geometrical Optics

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:

23Geometrical Optics

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

24Geometrical Optics

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 $\mathrm{R}=2 \mathrm{~m}$. Another car approaches him from behind ...

INTEGER+4 / -12025

25Geometrical Optics

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 ima...

26Geometrical Optics

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

27Geometrical Optics

Given below are two statements :
Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side.
Statement (II) : Concave lens always forms a v...

28Geometrical Optics

The following figure represents two biconvex lenses \(L_1\) and \(L_2\) having focal length \(10 \mathrm{~cm}\) and \(15 \mathrm{~cm}\) respectively. The distance between \(L_1\) & \(L_2\) is :

29Geometrical Optics

Critical angle of incidence for a pair of optical media is \(45^{\circ}\). The refractive indices of first and second media are in the ratio:

30Geometrical Optics

The position of the image formed by the combination of lenses is :

31Geometrical Optics

The refractive index of prism is \(\mu=\sqrt{3}\) and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _________\(^\circ\).

INTEGER+4 / -12024

32Geometrical Optics

For the thin convex lens, the radii of curvature are at \(15 \mathrm{~cm}\) and \(30 \mathrm{~cm}\) respectively. The focal length the lens is \(20 \mathrm{~cm}\). The refractive index of the material is :

33Geometrical Optics

In an experiment to measure focal length (\(f\)) of convex lens, the least counts of the measuring scales for the position of object (u) and for the position of image (v) are \(\Delta u\) and \(\Delta v\), respectively. The error in the mea...

34Geometrical Optics

An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is \(25 \mathrm{D}\). Focal length of each of the convex lens is:

35Geometrical Optics

A light ray is incident on a glass slab of thickness \(4 \sqrt{3} \mathrm{~cm}\) and refractive index \(\sqrt{2}\) The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after pass...

INTEGER+4 / -12024

36Geometrical Optics

The refractive index of a prism with apex angle \(A\) is \(\cot A / 2\). The angle of minimum deviation is :

37Geometrical Optics

Light from a point source in air falls on a convex curved surface of radius \(20 \mathrm{~cm}\) and refractive index 1.5. If the source is located at \(100 \mathrm{~cm}\) from the convex surface, the image will be formed at ________ $$\math...

INTEGER+4 / -12024

38Geometrical Optics

The distance between object and its two times magnified real image as produced by a convex lens is \(45 \mathrm{~cm}\). The focal length of the lens used is _______ cm.

INTEGER+4 / -12024

39Geometrical Optics

In an experiment to measure the focal length \((f)\) of a convex lens, the magnitude of object distance \((x)\) and the image distance \((y)\) are measured with reference to the focal point of the lens. The \(y\)-\(x\) plot is shown in figu...

INTEGER+4 / -12024

40Geometrical Optics

A biconvex lens of refractive index 1.5 has a focal length of \(20 \mathrm{~cm}\) in air. Its focal length when immersed in a liquid of refractive index 1.6 will be:

41Geometrical Optics

A convex mirror of radius of curvature \(30 \mathrm{~cm}\) forms an image that is half the size of the object. The object distance is :

42Geometrical Optics

If the distance between object and its two times magnified virtual image produced by a curved mirror is \(15 \mathrm{~cm}\), the focal length of the mirror must be:

43Geometrical Optics

Two immiscible liquids of refractive indices \(\frac{8}{5}\) and \(\frac{3}{2}\) respectively are put in a beaker as shown in the figure. The height of each column is \(6 \mathrm{~cm}\). A coin is placed at the bottom of the beaker. For nea...

INTEGER+4 / -12024

44Geometrical Optics

A convex lens of focal length \(40 \mathrm{~cm}\) forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens having the same diameter but focal length $$20 \ma...

45Geometrical Optics

Identify the physical quantity that cannot be measured using spherometer :

46Geometrical Optics

If the refractive index of the material of a prism is \(\cot \left(\frac{A}{2}\right)\), where \(A\) is the angle of prism then the angle of minimum deviation will be

47Geometrical Optics

The distance between object and its 3 times magnified virtual image as produced by a convex lens is $20 \mathrm{~cm}$. The focal length of the lens used is __________ $\mathrm{cm}$.

INTEGER+4 / -12024

48Geometrical Optics

Two vertical parallel mirrors A and B are separated by \(10 \mathrm{~cm}\). A point object \(\mathrm{O}\) is placed at a distance of \(2 \mathrm{~cm}\) from mirror \(\mathrm{A}\). The distance of the second nearest image behind mirror A fro...

INTEGER+4 / -12023

49Geometrical Optics

In a reflecting telescope, a secondary mirror is used to:

50Geometrical Optics

Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature \(30 \mathrm{~cm}\). The centre of curvature of surface is towards denser medium and a point object is placed...

INTEGER+4 / -12023