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

Light travels in two media \(M_{1}\) and \(M_{2}\) with speeds \(1.5 \times 10^{8} \mathrm{~ms}^{-1}\) and \(2.0 \times 10^{8} \mathrm{~ms}^{-1}\) respectively. The critical angle between them is :

2Geometrical Optics

The difference of speed of light in the two media A and B (vA \(-\) vB) is 2.6 \(\times\) 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuu...

3Geometrical Optics

A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of incident wave will be reflected back into the ...

4Geometrical Optics

Time taken by light to travel in two different materials \(A\) and \(B\) of refractive indices \(\mu_{A}\) and \(\mu_{B}\) of same thickness is \(t_{1}\) and \(t_{2}\) respectively. If \(t_{2}-t_{1}=5 \times 10^{-10}\) s and the ratio of $$...

5Geometrical Optics

Which of the following statement is correct?

6Geometrical Optics

A convex lens of focal length 20 cm is placed in front of a convex mirror with principal axis coinciding each other. The distance between the lens and mirror is 10 cm. A point object is placed on principal axis at a distance of 60 cm from t...

INTEGER+4 / -12022

7Geometrical Optics

For an object placed at a distance 2.4 m from a lens, a sharp focused image is observed on a screen placed at a distance 12 cm from the lens. A glass plate of refractive index 1.5 and thickness 1 cm is introduced between lens and screen suc...

8Geometrical Optics

Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is __________...

INTEGER+4 / -12022

9Geometrical Optics

A ray of light is incident at an angle of incidence 60\(^\circ\) on the glass slab of refractive index \(\sqrt3\). After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray...

INTEGER+4 / -12022

10Geometrical Optics

Two plane mirrors M1 and M2 are at right angle to each other shown. A point source 'P' is placed at 'a' and '2a' meter away from M1 and M2 respectively. The shortest distance between the images thus formed is : (Take \(\sqrt 5\) = 2.3)

11Geometrical Optics

An object is placed at the focus of concave lens having focal length f. What is the magnification and distance of the image from the optical centre of the lens?

12Geometrical Optics

Cross-section view of a prism is the equilateral triangle ABC in the figure. The minimum deviation is observed using this prism when the angle of incidence is equal to the prism angle. The time taken by light to travel from P (midpoint of B...

INTEGER+4 / -12021

13Geometrical Optics

A prism of refractive index n1 and another prism of refractive index n2 are stuck together (as shown in the figure). n1 and n2 depend on \(\lambda\), the wavelength of light, according to the relation$${n_1} = 1.2 + {{10.8 \times {{10}^{ - ...

INTEGER+4 / -12021

14Geometrical Optics

The expected graphical representation of the variation of angle of deviation '\(\delta\)' with angle of incidence 'i' in a prism is :

15Geometrical Optics

Find the distance of the image from object O, formed by the combination of lenses in the figure :

16Geometrical Optics

An object is placed beyond the centre of curvature C of the given concave mirror. If the distance of the object is d1 from C and the distance of the image formed is d2 from C, the radius of curvature of this mirror is :

17Geometrical Optics

Curved surfaces of a plano-convex lens of refractive index \(\mu\)1 and a plano-concave lens of refractive index \(\mu\)2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the co...

18Geometrical Optics

A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absolute value | f | = 40 cm. The image of object produced by the mirror is of height 25 cm and has the same orientation of t...

19Geometrical Optics

The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) respectively. Then choose the correct relation for these vectors.

20Geometrical Optics

Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image.Reason R : Magnification is achie...

21Geometrical Optics

A point source of light S, placed at a distance 60cm in front of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror at a distance 1.2 m from it (s...

INTEGER+4 / -12021

22Geometrical Optics

Car B overtakes another car A at a relative speed of 40 ms\(-\)1. How fast will the image of car B appear to move in the mirror of focal length 10 cm fitted in car A, when the car B is 1.9 m away from the car A?

23Geometrical Optics

An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length 15 cm is placed on other side of lens at 8 cm as shown in the figure. Image of object coincides with the object.When the convex mirror is removed...

INTEGER+4 / -12021

24Geometrical Optics

A ray of laser of a wavelength 630 nm is incident at an angle of 30\(^\circ\) at the diamond-air interface. It is going from diamond to air. The refractive index of diamond is 2.42 and that of air is 1. Choose the correct option.

25Geometrical Optics

A ray of light entering from air into a denser medium of refractive index \({4 \over 3}\), as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle \(\theta\) should be...

26Geometrical Optics

A prism of refractive index \(\mu\) and angle of prism A is placed in the position of minimum angle of deviation. If minimum angle of deviation is also A, then in terms of refractive index

27Geometrical Optics

The same size images are formed by a convex lens when the object is placed at 20 cm or at 10 cm from the lens. The focal length of convex lens is __________ cm.

INTEGER+4 / -12021

28Geometrical Optics

The focal length f is related to the radius of curvature r of the spherical convex mirror by :

29Geometrical Optics

A ray of light passing through a prism (\(\mu\) = \(\sqrt 3\)) suffers minimum deviation. It is found that the angle of incidence is double the angle of refraction within the prism. Then, the angle of prism is _____________ (in degrees).

INTEGER+4 / -12021

30Geometrical Optics

A ray of light passes from a denser medium to a rarer medium at an angle of incidence i. The reflected and refracted rays make an angle of 90\(^\circ\) with each other. The angle of reflection and refraction are respectively r and r'. The c...

31Geometrical Optics

An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an unresolved image. A resolved image is observed at infinite distance with a total magnification double the earlier using an eyepi...

INTEGER+4 / -12021

32Geometrical Optics

Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40 cm from the surface. The distance of the image from the surface is :

33Geometrical Optics

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (\(\mu\) = 4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring w...

34Geometrical Optics

Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her as non-uniform and distorted. The doctor diagnosed the problem as :

35Geometrical Optics

Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as shown in the figure.The refractive indices of the material of the prism for red, green and blue wavelength are 1.27, 1.42...

36Geometrical Optics

The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the material of the lens is 2 \(\times\) 108 ms\(-\)1. The focal length of the lens is ____________.

37Geometrical Optics

The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at \({{{2^{rd}}} \over 3}\) of the distance of the object from the surface. The wavelength of l...

INTEGER+4 / -12021

38Geometrical Optics

The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) The refracted ray inside the prism becomes parallel to its base(C) Angle of incidence is equal to that of the angle of em...

39Geometrical Optics

The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium of same refractive index? Assume the radii of curvature of the faces of lens are R1 and R2 respectively.

40Geometrical Optics

Red light differs from blue light as they have :

41Geometrical Optics

A deviation of 2\(^\circ\) is produced in the yellow ray when prism of crown and flint glass are achromatically combined. Taking dispersive powers of crown and flint glass as 0.02 and 0.03 respectively and refractive index for yellow light ...

INTEGER+4 / -12021

42Geometrical Optics

The aperture diameter of a telescope is 5m. The
separation between the moon and the earth is
4 × 105 km. With light of wavelength of
5500 \(\mathop A\limits^o\), the minimum separation between
objects on the surface of moon, so that they a...

43Geometrical Optics

A vessel of depth 2h is half filled with a liquid
of refractive index \(2\sqrt 2\) and the upper half with
another liquid of refractive index \(\sqrt 2\) . The
liquids are immiscible. The apparent depth of
the inner surface of the bottom ...

44Geometrical Optics

There is a small source of light at some depth
below the surface of water (refractive
index = \({4 \over 3}\)) in a tank of large cross sectional
surface area. Neglecting any reflection from the
bottom and absorption by water, percentage of...

45Geometrical Optics

A point object in air is in front of the curved
surface of a plano-convex lens. The radius of
curvature of the curved surface is 30 cm and
the refractive index of the lens material is 1.5,
then the focal length of the lens (in cm)
is ______...

INTEGER+4 / -02020

46Geometrical Optics

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability \({4 \over 3}\) for this wavelength, will be :

47Geometrical Optics

The magnifying power of a telescope with tube
60 cm is 5. What is the focal length of its eye
piece ?

48Geometrical Optics

An object is gradually moving away from the
focal point of a concave mirror along the axis
of the mirror. The graphical representation of
the magnitude of linear magnification (m)
versus distance of the object from the mirror
(x) is correct...

49Geometrical Optics

If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm, the focal length of the eye-piece, should be close to :

50Geometrical Optics

A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid
of refractive index 1.42. If its focal length in liquid is f1
, then the ratio \({{{f_1}} \over f}\) is closest to the
integer :