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IIT JEE Exam 2026 : Main

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25 Ray Optics and Optical Instruments JEE-Main Plane Mirror 1. The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed by the observer are: A. Real B. Erect C. Smaller in size then object D. Laterally inverted Choose the most appropriate answer from the options given below: [25 Jan, 2023 (Shift-II)] (a) B and D only (b) B and C only (c) A and D only (d) A, C and D only 2. An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect image is formed by the mirror. Now the mirror is moved by 4 cm towards the stationary object. The distance by which the position of image would be shifted, will be: [10 Apr, 2023 (Shift-I)] (a) 4 cm towards mirror (b) 8 cm towards mirror (c) 8 cm away from mirror (d) 2 cm towards mirror 3. Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a distance of 2 cm from mirror A. The distance of the second nearest image behind mirror A from the mirror A is ____ cm [8 Apr, 2023 (Shift-I)] A B 5. A light ray is incident, at an incident angle 1, on the system of two plane mirrors M1 and M2 having an inclination angle 75o between them (as shown in figure). After reflecting from mirror M1 it gets reflected back by the mirror M2 with an angle of reflection 30o. The total deviation of the ray will be _________degree. [26 June, 2022 (Shift-I)] M1 y t ra den inci 75o M2 6. Three plane mirrors from an equilateral triangle with each side of length L. There is a small hole at distance l > 0 from one of the corners as shown in th figure. A ray of light is passed through the hole at an angle and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane. (2022) L l 2cm O ! 10cm 4. As shown in the figure, a plane mirror is fixed at a height of 50 cm 4 from the bottom of tank containing water = . The height of 3 water in the tank is 8 cm. A small bulb is placed at the bottom of the water tank. The distance of image of the bulb formed by mirror from the bottom of the tank is _________ cm. [11 Apr, 2023 (Shift-II)] 50 cm 8 cm Which of the following statement(s) is (are) correct? (a) The ray of light will come out for = 30 , for 0 < l < L. L (b) There is an angle for l = at which the ray of light will come out after two reflections. 2 (c) The ray of light will NEVER come out for = 60 , and l = L 3 (d) The ray of light will come out for = 60 , and L 0<l< after six reflections. 2 7. The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors a , b and c respectively. Then choose the correct relation for these vectors. [26 Feb, 2021 (Shift-II)] (b) b = a + 2c (a) b = a - c (c) b = 2a + c (d) b = a 2 ( a c ) c 8. Two plane mirrors M1 and M2 are at right angle to each 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 [31 Aug, 2021 (Shift-I)] is : (Take 5 = 2.3 ) a 15. A thin cylindrical rod of length 10 cm is placed horizontally on the principle axis of a concave mirror of focal length 20 cm. The rod is placed in a such a way that mid point of the rod is at 40 cm from the pole of mirror. The length of the image formed by the mirror will x be cm . The value of x is _______ . [1 Feb, 2023 (Shift-I)] 3 P 2a M1 M2 (a) 2 10 a (b) 2.3 a (c) 4.6 a (d) 3 a 9. A point source of light S, placed at a distance 60 cm infront of the centre of a plane mirror of width 50 cm, hangs vertically on a wall. A man walks infront of the mirror along a line parallel to the mirror at a distance 1.2 m from it (see in the figure). The distance between the extreme points where he can see the image of the light source in the mirror is _____ cm. [26 Feb, 2021 (Shift-II)] S 50 cm 60 cm 1.2 m 10. A point source of light, S is placed at a distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror, at a distance 2 L as shown below. The distance over which the man can see the image of the light source in the mirror: [12 Jan, 2019 (Shift-I)] L 2L (a) d (b) 2d (c) 3d (d) d 11. Two plane mirrors are inclined to each other such that a ray of light incident to the first mirror (M1) and parallel to the second mirror (M2) is finally reflected from the second mirror (M2) parallel to the first mirror (M1). The angle between the two mirrors will be: [9 Jan, 2019 (Shift-II)] (a) 45 (b) 60 (c) 75 (d) 90 Spherical Mirrors 12. A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. [29 Jan, 2024 (Shift-I)] The object distance is: (a) 15 cm (b) 45 cm (c) 45cm 16. In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40 cm from the pole of the mirror is formed at distance 120 cm from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in 1 cm. The value of error in measurement of focal length of the mirror is 1/K cm. The value of K is _____. [30 Jan, 2023 (Shift-I)] 17. An optical arrangement consists of two concave mirrors M1 and M2, and a convex lens L with a common principal axis, as shown in the figure. The focal length of L is 10 cm. The radii of curvature of M1 and M2 are 20 cm and 24 cm, respectively. The distance between L and M2 is 20 cm. A point object S is placed at the mid-point between L and M2 on the axis. When the distance between L and M1 is n/7 cm, one of the images coincides with S. The value of n is ______ : [JEE Adv, 2023] M1 M2 L S 20 cm 18. An object O is placed at a distance of 100 cm in front of a concave mirror of radius of curvature 200 cm as shown in the figure. The object starts moving towards the mirror at a speed 2 cm/s. The position of the image from the mirror after 10 s will be at ________ cm. [28 July, 2022 (Shift-II)] S d 14. Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is: [1 Feb, 2023 (Shift-II)] (a) 40 cm (b) 60 cm (c) 160 cm (d) 100 cm (d) 15 cm 0 19. An object and a concave mirror of focal length f = 10 cm both move along the principal axis of the mirror with constant speeds. The object moves with speed V0 = 15 cm s 1 towards the mirror with respect to a laboratory frame. The distance between the object and the mirror at a given moment is denoted by u. When u = 30 cm, the speed of the mirror Vm is such that the image is instantaneously at rest with respect to the laboratory frame, and the object forms a real image. The magnitude of Vm is ____ cms 1. [JEE Adv, 2022] Vm V0 13. If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be: [29 Jan, 2024 (Shift-II)] (a) 15 cm 680 (b) 12 cm (c) 10 cm JEE Main and Advanced Physics PYQs (d) 10/3 cm u 20. 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 the object. One may conclude from the information: [26 Feb, 2021 (Shift-I)] (a) Image is virtual, opposite side of concave mirror. (b) Image is real, same side of convex mirror. (c) Image is real, same side of concave mirror. (d) Image is virtual, opposite side of convex mirror. 21. The focal length f is related to the radius of curvature r of the spherical convex mirror by: [24 Feb, 2021 (Shift-I)] 1 (b) f = r 2 (a) f = r 1 (d) f = + r 2 22. 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 : [27 Aug, 2021 (Shift-I)] 2d1d 2 d1 d 2 2d1d 2 d1d 2 (a) (b) (c) (d) d1 + d 2 d1 + d 2 d1 d 2 d1 d 2 (c) f = r 23. 12 8 26. A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines, are kept 80 cm apart from each other. The concave mirror is to the right of the convex lens. When an object is kept at a distance of 30 cm to the left of the convex lens, its image remains at the same position even if the concave mirror is removed. The maximum distance of the object for which this concave mirror, by itself would produce a virtual image would be: [8 April, 2019 (Shift-II)] (a) 20 cm (b) 10 cm (c) 25 cm (d) 30 cm 27. A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order to see your image upright with a magnification of 5 is: [9 April, 2019 (Shift-I)] (a) 1.60 m (b) 0.24 m (c) 0.16 m (d) 0.32 m 28. 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 ? [26 Aug, 2021 (Shift-I)] (a) 0.1 ms 1 (b) 0.2 ms 1 (c) 4 ms 1 (d) 40 ms 1 Refraction from Plane Surface Object 20 16 (cm) 25. When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the mirror. If the object is moved with a speed of 9 cm s 1, the speed (in cm s 1) with which image moves at that instant is ________. [3 Sep, 2020 (Shift-II)] 4 8 3 and 5 2 respectively are put in a beaker as shown in the figure. The height of each column is 6 cm. A coin is placed at the bottom of the beaker. For near normal vision, the apparent depth of the coin is cm. The value of a is______. [27 Jan, 2024 (Shift-I)] 4 29. Two immiscible liquids of refractive indices A spherical mirror is obtained as shown in the figure from a hollow glass sphere. if an object is positioned infront of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale) [2 Sep, 2020 (Shift-I)] (a) Inverted, real and magnified (b) Erect, virtual and unmagnified (c) Inverted, real and unmagnified (d) Erect, virtual and magnified 24. 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 correctly given by (Graphs are drawn schematically and are not to scale) [8 Jan, 2020 (Shift-II)] m m 1 (a) f 2f x (b) 1 f 2f x m m 1 (c) x f 2f (d) 1 x f 2f 6 cm m2 = 3/2 6 cm m1 = 8/5 Coin 30. A vessel of depth d is half filled with oil of refractive index n1 and the other half is filled with water of refractive index n2. The apparent depth of this vessel when viewed from above will be [13 Apr 2023 (Shift-I)] (a) dn1n2 (n1 + n2 ) (b) d (n1 + n2 ) 2 d (n1 + n2 ) dn1n2 (c) (d) 2n1n2 n1n2 2(n1 + n2 ) 31. A monochromatic light wave with wavelength 1 and frequency v1 in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45 and 30 respectively, then the wavelength 2 and frequency v2 of the refracted wave are: [06 Apr, 2023 (Shift-I)] 1 1 , v2 = v1 (b) 2 = (a) 2 = 1 , v2 = 2v1 2 1 v1 (c) 2 = 2 1 , v2 = v1 (d) 2 = 1 , v2 = 2 Ray Optics and Optical Instruments 681 32. A ray of light is incident from air to a glass plate having thickness 3 cm and refractive index 2 . The angle of incidence of the ray is equal to the critical angle for the glass-air interface. The lateral displacement of the ray when it passes through the plate is ____ 10 2 cm (sin 15 = 0.26) [25 Jan, 2023 (Shift-I)] 33. A pole is vertically submerged in swimming pool, such that it gives a length of shadow 2.15 m within water when sunlight is incident at an angle of 30 with the surface of water. If swimming pool is filled to a height of 1.5 m, then the height of the pole above the water surface in centimeters is (nw = 4/3)____________. [6 Apr, 2023 (Shift-I)] 34. A fish rising vertically upward with a uniform velocity of 8 ms 1, observes that a bird is diving vertically downward towards the fish with the velocity of 12 ms 1. If the refractive index of water is 4/3, then the actual velocity of the diving bird to pick the fish, will be ________ ms 1. [13 Apr, 2023 (Shift-I)] 35. 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 12cm from the lens. A glass plate of refractive index 1.5 and thickness 1cm is introduced between lens and screen such that the glass plate plane faces parallel to the screen. By what distance should the object be shifted so that a sharp focused image is observed again on the screen? [25 July, 2022 (Shift-II)] (a) 0.8 m (b) 3.2 m (c) 1.2 m (d) 5.6 m 36. As shown in the figure, after passing through the medium 1. The speed of light v2 in medium 2 will be: (Given c = 3 108 ms 1) Air C (a) 1.0 108 ms 1 (c) 1.5 108 ms 1 [28 July, 2022 (Shift-I)] Medium 1 Medium 2 mr = 1 r = 4 mr = 1 r = 9 V1 V2 (b) 0.5 108 ms 1 (d) 3.0 108 ms 1 37. Time taken by light to travel in two different materials A and B refractive indices m A and m B of same thickness is t 1 and t 2 respectively. If t2 t1 = 5 10 10 s and the ratio of mA and mB is 1 : 2. Then, the thickness of material, in meter is: (Given A and B are velocities of light in A and B materials respectively.) [25 July, 2022 (Shift-I)] (a) 5 10 10 A m (b) 5 10 10 m (c) 1.5 10 10 m (d) 5 10 10 B m 38. Consider a light ray travelling in air is incident into a medium of refractive index 2n . The incident angle is twice that of refracting angle. Then, the angle of incidence will be [27 June, 2022 (Shift-I)] n (b) cos 1 (a) sin 1 n 2 ( ) (c) sin 1 682 ( 2n ) (d) 2 cos 1 n 2 JEE Main and Advanced Physics PYQs 39. The difference of speed of light in the two media A and B (vA vB) is 2.6 107 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 vacuum c = 3 108 ms 1) [25 June, 2022 (Shift-I)] (a) 1.303 (b) 1.318 (c) 1.13 (d) 0.12 40. Light enters from air into a given medium at an angle of 45 with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of 15 from its original direction. The refractive index of the medium is: [29 July, 2022 (Shift-II)] (a) 1.732 (b) 1.333 (c) 1.414 (d) 2.732 41. A ray of light is incident at an angle of incidence 60 on the glass slab of refractive index 3 . After refraction, the light ray emerges out from other parallel faces and lateral shift between incident ray and emergent ray is 4 3cm . The thickness of the glass slab is _______ cm. [24 June, 2022 (Shift-II)] 42. A small bulb is placed at the bottom of a tank containing water to a 4 depth of 7 m. The refractive index of water is . The area of the 3 surface of water through which light from the bulb can emerge out is x m2. The value of x is ________. [26 June, 2022 (Shift-II)] 43. The X Y plane be taken as the boundary between two transparent media M1 and M2. M1 in z 0 has a refractive index of 2 and M2 with Z < 0 has refractive index of 3 . A ray of light travelling in M1 along the direction given by the vector P = 4 3i 3 3 j 5k , is incident on the plane of separation. The value of difference between the angle of incident in M1 and the angle of refraction in M2 will be ________ degree. [29 July, 2022 (Shift-I)] 44. Consider a configuration of n identical units, each consisting of three layers. The first layer is a column of air of height 1 h = cm, and the second and third layers are of equal thickness 3 3 1 cm, and refractive indices m1 = 2 3 and m = 3 , 2 2 respectively. A light source O is placed on the top of the first unit, as shown in the figure. A ray of light from O is incident on the second layer of the first unit at an angle of = 60 to the normal. For a specific value of n, the ray of light emerges from the bottom of the 8 cm, as shown in the figure. The configuration at a distance l = 3 value of n is _______. [JEE Advance 2022] d= o h Air " d !1 !2 h Air n units l 45. A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ( = 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 water. Up to what height, the tumbler is actually filled? [1 Sept, 2021 (Shift-II)] (a) 11.7 cm (b) 8.75 cm (c) 7.5 cm (d) 10 cm 46. A ray of laser of a wavelength 630 nm is incident at an angle of 30 at the diamond- air interface. It is going from diamond to air. The refractive index diamond is 2.42 and that of air is 1. Choose the correct option. [25 July, 2021 (Shift-I)] (a) Angle of refraction is 53.4 (b) Angle of refraction is 30 (c) Angle of refraction is 24.41 (d) Refraction is not possible 47. There is a small source of light at some depth below the surface of water (refractive index = 4/3) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of light that emerges out of surface is (nearly): [Use the fact that surface area of spherical cap of height h and radius of curvature r is 2 rh] [9 Jan, 2020 (Shift-II)] (a) 21% (b) 17% (c) 50% (d) 34% 48. A vessel of depth 2 h is half filled with a liquid of refractive index 2 2 and the upper half with another liquid of refractive index 2 . The liquids are immiscible. The apparent depth of the inner surface of the bottom of vessel will be [9 Jan, 2020 (Shift-I)] h h h 3 (b) 2 2 + 1 (c) (d) (a) h 2 2 3 2 4 49. An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of 15 cm from the bottom (see figure). The hole is at a height of 45 cm. When the jar is filled with a liquid upto a height of 30 cm the same observer can see the edge at the bottom of the jar. If the refractive index of the liquid is N/100, where N is an integer, the value of N is ________.[3 Sep, 2020 (Shift-I)] ( ) 52. A ray of light AO in vacuum is incident on a glass slab at angle 60 and refracted at angle 30 along OB as shown in the figure. The optical path length of light ray from A to B is: [10 April, 2019 (Shift-I)] A a 60 O Vacuum glass b 30 B (a) 2a + 2b (b) 2a + 3 2b 3 (c) 2 3 + 2b (d) 2a + 2b a Total Internal Reflection and Critical Angle 53. A light ray is incident on a glass slab of thickness 4 3 cm and refractive index 2. The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is ____cm. [04 April, 2024 (Shift-II)] (Given sin 15 = 0.25) 45cm 15cm 15cm 50. A large square container with thin transparent vertical walls and 4 filled with water (refractive index ) is kept on a horizontal table. A student holds a thin straight wire3 vertically inside the water 12 cm from one of its corners, as shown schematically in the figure. Looking at the wire from this corner, another student sees two images of the wire, located symmetrically on each side of the line of sight as shown. The separation (in cm) between these images is ___________. [JEE Advance 2020] 54. Critical angle of incidence for a pair of optical media is 45 . The refractive indices of first and second media are in the ratio: [08 April, 2024 (Shift-I)] 2 (a) :1 (b) 1 : 2 (c) 1 : 2 (d) 2 : 1 55. The critical angle for a denser-rarer interface is 45 . The speed of light in rarer medium is 3 108 m/s. The speed of light in the denser medium is: [11 Apr 2023 (Shift-I)] (a) 7.5 107 m/s (b) 2.12 108 m/s (c) 3.12 10 m/s (d) 7 2 108 m/s 56. In a medium the speed of light wave decreases to 0.2 times to its speed in free space The ratio of relative permittivity to the refractive index of the medium is x:1. The value of x is ________. (Given speed of light in free space = 3 108 ms 1 and for the given medium mr = 1 ) [31 Jan 2023 (Shift-I)] Line of sight 12 cm 51. Consider a tank made of glass (refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index m. A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of m is [9 Jan, 2019 (Shift-I)] i 5 3 (b) 3 5 (c) 3 (a) = sin 1 4 2 (b) > sin 1 3 3 (c) < sin 1 4 (d) > sin 1 3 4 58. Light travels in two media M1 and M2 with speeds 1.5 108 ms 1 and 2.0 108 ms 1 respectively. The critical angle between them is: [26 July, 2022 (Shift-II)] 2 1 3 (b) tan 1 (a) tan 7 3 ! = 1.5 (a) 57. The speed of light in media A and B are 2.0 1010 cm/s and 1.5 1010 cm/s respectively. A ray of light enters from the medium B to A an incident angle . If the ray suffers total internal reflection, then [29 June, 2022 (Shift-II)] 5 3 (d) 4 3 3 (c) cos 1 4 2 (b) sin 1 3 Ray Optics and Optical Instruments 683 59. A light wave travelling linearly in a medium of dielectric constant 4, incident 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 same medium will be (Given: relative permeability of medium m = 1) [25 June, 2022 (Shift-I)] (a) 10 (b) 20 (c) 30 (d) 60 60. Which of the following statement is correct? [25 July, 2022 (Shift-I)] (a) In primary rainbow, observer sees red colour on the top and violet on the bottom (b) In primary rainbow, observer sees violet colour on the top and red on the bottom (c) In primary rainbow, light wave suffers total internal reflection twice before coming out of water drops. (d) Primary rainbow is less bright than secondary rainbow. 61. A ray of light entering from air into a denser medium of refractive 4 index , as shown in figure. The light ray suffers total internal 3 reflection at the adjacent surface as shown. The maximum value of angle should be equal to: [25 July, 2021 (Shift-II)] (a) sin 1 5 4 (b) sin 1 7 3 (c) sin 1 7 4 (d) sin 1 5 3 = 40 (a) 55000 (b) 57000 (c) 66000 r r' (d) 45000 66. A transparent cube of side d, made of a material of refractive index m 2 , is immersed in a liquid of refractive index m1(m1 < m2). A ray is incident on the face AB at an angle (shown in the figure). Total internal reflection takes place at point E on the face BC. [12 April, 2019 (Shift-II)] E C B !2 " !1 D A The must satisfy: < sin 1 1 2 2 (b) < sin 1 2 1 12 (c) > sin 1 1 2 4 3 62. 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 with each other. The angle of reflection and refraction are respectively r and r . The critical angle is given by: [22 July, 2021 (Shift-II)] i d !2 (a) 65. In figure, the optical fiber is l = 2 m long and has a diameter of d = 20 m. If a ray of light is incident on one end of the fiber at angle 1 = 40 , the number of reflection it makes before emerging from the other end is close to: [8 April, 2019 (Shift-I)] (refractive index of fibre is 1.31 and sin 40 = 0.64) (d) > sin 1 22 12 1 67. A planar structure of length L and width W is made of two different optical media of refractive indices n1 = 1.5 and n2 = 1.44 as shown in figure. If L >> W, a ray entering from end AB will emerge from end CD only if the total internal reflection condition is met inside the structure. For L = 9.6 m, if the incident angle is varied, the maximum time taken by a ray to exit the plane CD is t 10 9 s, where t is ____. [Speed of light c = 3 108 m/s] [JEE Advanced 2019] n 2 A C n1 Air W ! D n2 B L (a) sin 1 (cot r) (c) sin 1 (tan r ') (b) tan 1 (sin i) (d) sin 1 (tan r) 63. Red light differs from blue light as they have [16 March, 2021 (Shift-II)] (a) Different frequencies and different wavelengths (b) Different frequencies and same wavelengths (c) Same frequencies and same wavelengths (d) Same frequencies and different wavelengths 64. The critical angle of a medium for a specific wavelength, if the 4 medium has relative permittivity 3 and relative permeability for this 3 wavelength, will be: (a) 15o (b) 30o 684 (c) 60o [8 Jan, 2020 (Shift-I)] (d) 45o JEE Main and Advanced Physics PYQs Prism 68. The refractive index of a prism with apex angle A is cot A/2. The angle of minimum deviation is: [31 Jan, 2024 (Shift-I)] (a) dm = 180 A (b) dm = 180 3A (c) dm = 180 4A (d) dm = 180 2A A 2 where A is the angle of prism then the angle of minimum deviation will be [27 Jan, 2024 (Shift-I)] (a) 2A (b) 2A (c) A (d) A 2 2 69. If the refractive index of the material of a prism is cot 70. Given below are two statements : Statement I: When the white light passed through a prism, the red light bends lesser than yellow and violet. Statement II: The refractive indices are different for different wavelengths in dispersive medium. In the light of the above statements, choose the correct answer from the options given below: [05 April, 2024 (Shift-II)] (a) Both Statement I and Statement II are true. (b) Statement I is true but Statement II is false. (c) Both Statement I and Statement II are false. (d) Statement I is false but Statement II is true. (a) (b) (c) (d) Reflected and refracted rays will be perpendicular to each other. Wave will propagate along the surface of prism. No refraction, and there will be total reflection of light. No reflection, and there will be total transmission of light. 77. In the given figure, the face AC of the equilateral prism is immersed in a liquid of refractive index n . For incident angle 60 at the side AC, the refracted light beam just grazes along face AC. The x refractive index of the liquid n = . 4 A 71. The refractive index of prism is m = 3 and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _________ . 72. A thin prism P1 with an angle 6 and made of glass of refractive index 1.54 is combined with another prism P2 made from glass of refractive index 1.72 to produce dispersion without average deviation. The angle of prism P2 is: [30 Jan, 2023 (Shift-II)] (a) 6 (b) 1.3 (c) 7.8 (d) 4.5 73. The refractive index of a transparent liquid filled in an equilateral hollow prism is 2 . The angle of minimum deviation for the liquid will be_______. [15 Apr, 2023 (Shift-I)] 74. A plane polarized blue light ray is incident on a prism such that there is no reflection from the surface of the prism. The angle of deviation of the emergent ray is d = 60 Fig. 1. The angle of minimum deviation for red light from the same prism is dmin = 30 Fig. 2. The refractive index of the prism material for blue light is 3 . Which of the following statements is are correct? [JEE Advanced 2023] Liquid n 60 ! = 1.5 C Glass B The value of x is ________. (Given refractive index of glass = 1.5) [26 July, 2022 (Shift-II)] 78. A thin prism of angle 6 and refractive index for yellow light (nY) 1.5 is combined with another prism of angle 5 and nY = 1.55. The combination produces no dispersion. The net average deviation 0 (d) produced by the combination is 1 . The value of x is x ___________. [27 July, 2022 (Shift-II)] P2 6 = A1 d A2 = 5 P1 Fig. 1. !min = 30 Plane polarised red light Fig. 2 Fig. 2. (a) The blue light is polarized in the plane of incidence. (b) The angle of the prism is 45 . (c) The refractive index of the material of the prism for red light is 2 . (d) The angle of refraction for blue light in air at the exit plane of the prism is 60 . 75. The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be: [28 June, 2022 (Shift-I)] (a) 180 2A (b) 90 A (c) 180 + 2A (d) 180 3A 76. A light whose electric field vectors are completely removed by using a good Polaroid, allowed to incident on the surface of the prism at Brewster s angle. Choose the most suitable option for the phenomenon related to the prism. [25 June, 2022 (Shift-II)] 79. A deviation of 20 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 for these glasses are 1.5 and 1.6 respectively. The refracting angles for crown glass will be _______0 . (in degree) Round off to the Nearest Integer) [16 March, 2021 (Shift-II)] 80. Three rays of light, 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 material of the prism for red, green and blue wavelength are 1.27, 1.42 and 1.49 respectively. The colour of ray(s) emerging out of the face PR is [18 March, 2021 (Shift-II)] P B G R Q (a) Red (c) Green R (b) Blue and green (d) Blue Ray Optics and Optical Instruments 685 81. A prism of refractive index m 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 value of A is: [25 July, 2021 (Shift-II)] 1 1 (a) 2cos (b) cos 2 2 Y d (d) 1 1 (d) sin 2 (c) sin 1 2 82. The angle of deviation through a prism is minimum when [16 March, 2021 (Shift-I)] 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 if incidence is equal to that of the angle of emergence D. When angle of emergence is double the angle of incidence d X i 84. 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 , the wavelength of light, according to the relation n1 = 1.2 + 10.8 10 14 1.8 10 14 and n2 = 1.45 + . 2 2 The wavelength for which rays incident at any angle on the interface BC pass through without bending at that interface will be _______nm. [27 July, 2021 (Shift-I)] D Choose the correct answer from the options given below : (a) Statements (B) and (C) are true (b) Statements (A), (B) and (C) are true (c) Only statement (D) is true (d) Only statements (A) and (B) are true 83. The expected graphical representation of the variation of angle of deviation d with angle of incidence i in a prism is : [27 July, 2021 (Shift-II)] Y 90o C 70o n2 N i 60 n1 20o o 40o A B 85. A ray of light passing through a prism (m = 3 ) surface 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). [22 July, 2021 (Shift-II)] d (a) i X Y 86. 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 BC) to A is______ 10 10 s. (Given, speed of light in vacuum = 3 108 m/s and cos30o = d A cm 10 X 10 i cm (b) 3) 2 Y B d C [22 July, 2021 (Shift-II)] (c) i 686 P X JEE Main and Advanced Physics PYQs 87. A prism of angle A = 1 has a refractive index m = 1.5. A good estimate for the minimum angle of deviation (in degrees) is close [5 Sep, 2020 (Shift-II)] to N . The value of N is ____ . 10 88. The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graph is the correct one, if Dm is the angle of minimum deviation? [11 Jan, 2019 (Shift-I)] 1.535 1.530 1.525 1.520 1.515 1.510 Dm n2 93. As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is used to image an object placed at infinity. The radius of curvature of both the lenses is 30 cm and refractive index of the material for both the lenses is 1.75. Both the lenses are placed at distance of 40 cm from each other. Due to the combination, the image of the object is formed at distance x = _________ cm, from concave lens. [24 Jan, 2023 (Shift-I)] 40 Cm, 400 500 600 700 Dm (a) !(nm) (b) 400 500 600 700 400 500 600 700 Dm !"nm# Dm (c) (d) 400 500 600 700 !"nm# 400 500 600 700 !"nm# 89. A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the refractive index of the material of the prism is 3 , then the angle of incidence [11 Jan, 2019 (Shift-II)] (a) 90 (b) 30 (c) 60 (d) 45 90. A monochromatic light is incident from air on a refracting surface of a prism of angle 75 and refractive index n0 = 3 . The other refracting surface of a prism is coated by a thin film of material of refractive index n as shown in figure. The light suffers total internal reflection at the coated prism surface for an incidence angle of 60 . The value of n2 is_______. r O !"nm# [JEE Advance 2019] Air 75 n 94. Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30 cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of 15 cm from the pole of the surface. The distance of image from the pole of the surface is _______ cm. [8 Apr, 2023 (Shift-II)] 95. A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5 . The distance from the centre of the globe at which the beam of light can converge is _____ mm. [29 June, 2022 (Shift-I)] 96. 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 the convex lens. The image formed by combination coincides the object itself. The focal length of the convex mirror is _______cm. [25 July, 2022 (Shift-II)] 97. 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: [20 July, 2021 (Shift-I)] I !I=1.25 II !II=1.4 25cm ! n0 " 3 Refraction at Curved Surface 91. Light from a point source in air falls on a convex curved surface of radius 20 cm and refractive index 1.5. If the source is located at 100 cm from the convex surface, the image will be formed at____ cm from the object. [31 Jan, 2024 (Shift-II)] 92. 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 side, the apparent distance of the bubble is observed as 4 cm. If the side of the ice cube is 24 cm, the refractive index of the ice cube is [12 Apr, 2023 (Shift-I)] 4 3 2 6 (a) (b) (c) (d) 3 2 3 5 O C (a) 9.52 cm (b) 18.23 cm (c) 37.58 cm (d) 55.44 cm 98. The image of an object placed in air formed by a convex refracting surface is at a distance of 10 behind the surface. The image is real 2 and is at rd of the distance of the object from the surface. The 3 wavelength of light inside the surface is 2 times the wavelength 3 x m. The value of x is in air. The radius of the curved surface is 13 ______ . [17 March, 2021 (Shift-II)] 99. A light ray enters a solid glass sphere of refractive index = 3 at an angle of incidence 60 . The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is _____. [2 Sep, 2020 (Shift-II)] Ray Optics and Optical Instruments 687 100. The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of cornea (7.8 mm). This surface separates two media of refractive indices 1 and 1.34. Calculate the distance from the refracting surface at which a parallel beam of light will come to focus. [10 Jan, 2019 (Shift-II)] (a) 1 cm (b) 2 cm (c) 4.0 cm (d) 3.1 cm 101. A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance d from the surface of water. The value of d is close to: (Refractive index of water = 1.33) [12 April, 2019 (Shift-I)] particle 105. The distance between object and its two times magnified real image as produced by a convex lens is 45 cm. The focal length of the lens used is ______ cm. [30 Jan, 2024 (Shift-I)] 106. 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 figure. The focal length of the lens is_________cm. [30 Jan, 2024 (Shift-II)] 40 30 A Y B (cm) C 20 5cm D E 10 (a) 8.8 cm (b) 11.7 cm (c) 6.7 mm (d) 13.4 cm 102. One plano-convex and one plano-concave lens of same radius of curvature R but of different materials are joined side by side as shown in the figure. If the refractive index of the material of 1 is m1 and that of 2 is m2, then the focal length of the combination is: [10 April, 2019 (Shift-I)] 1 !2 !1 2 R 2 ( 1 2 ) (b) 2R 1 2 (c) R 2( 1 2 ) (d) R 1 2 H x x (a) H3 > H1 (b) 0.8 cm < (H2 H1) < 0.9 cm (c) H2 > H3 (d) H2 > H1 Lens 104. The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20 cm. The focal length of the lens used is __________ cm. [1 Feb, 2024 (Shift-I)] 688 (a) 16 cm (b) 160 cm (c) + 160 cm (d) + 16 cm JEE Main and Advanced Physics PYQs (b) 50 cm (c) 500 cm (d) 25 cm 109. For the thin convex lens, the radii of curvature are at 15 cm and 30 cm respectively. The focal length the lens is 20 cm. The refractive index of the material is: [06 April, 2024 (Shift-II)] (a) 1.2 (b) 1.4 (c) 1.5 (d) 1.8 103. Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surfaces shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii of curvature of the two curved tops are same (R = 3 m). If H1, H2 and H3are the apparent depths of a point X on the bottom of the three cylinders, respectively, the correct statement(s) is/are [JEE Advance 2019] I II III x x (cm) 30 40 107. 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 1.6 will be: [29 Jan, 2024 (Shift-I)] (a) 20 cm H 20 108. An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis is 25 D. Focal length of each of the convex lens is: [04 April, 2024 (Shift-I)] (a) H 10 110. The position of the image formed by the combination of lenses is: [08 April, 2024 (Shift-II)] f1 = 10 cm f2 = 10 f3 = 30 cm 5 cm 30 cm 10 cm (a) 30 cm (right of third lens) (b) 15 cm (left of second lens) (c) 30 cm (left of third lens) (d) 15 cm (right of second lens) 111. 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 virtual and erect image. In the light of the above statements, choose the correct answer from the options given below: [09 April, 2024 (Shift-I)] (a) Statement I is false but Statement II is true. (b) Both Statement I and Statement II are false. (c) Statement I is true but Statement II is false. (d) Both Statement I and Statement II are true. 112. The following figure represents two biconvex lenses L1 and L2 having focal length 10 cm and 15 cm respectively. The distance between L1 and L2 is: [09 April, 2024 (Shift-II)] L1 L (a) 10 cm (b) 15 cm (c) 25 cm (d) 35 cm 113. 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 least distance of distinct vision for this person: [30 Jan, 2023 (Shift-I)] (a) 10 cm (b) 40 cm (c) 30 cm (d) 50 cm 114. When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours of light converge at different point on the principle axis after refraction. This is called: [24 Jan, 2023 (Shift-II)] (a) Scattering (b) Chromatic aberration (c) Spherical aberration (d) Polarisation 115. A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is___ D. [13 Apr, 2023 (Shift-II)] 116. 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 refractive index 1.5. The ratio of power of lens in air to its power in the liquid will be x : 1. The value of x is ___________. [11 Apr, 2023 (Shift-I)] 117. An object is placed on the principal axis of convex lens of focal length 10 cm as shown. A plane mirror is placed on the other side of the lens at a distance of 20 cm. The image produced by the plane mirror is 5 cm inside the mirror. The distance of the object from the lens is ______ cm. [25 Jan, 2023 (Shift-II)] 120. 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 ____ cm. 4 (Given refractive index of water = ) [24 Jan, 2023 (Shift-II)] 3 121. In an experiment for determination of the focal length of a thin convex lens, the distance of the object from the lens is 10 0.1 cm and the distance of its real image from the lens is 20 0.2 cm. The error in the determination of focal length of the lens is n%. The value of n is _____ : [JEE Adv, 2023] 122. A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figures). Choose the incorrect option for the reported pieces. [27 June, 2022 (Shift-II)] L2 L3 L1 P P (b) Power of L2 = 2 2 P (c) Power of L3 = (d) Power of L1 = P 2 123. The power of lens (biconvex) is 1.25 m 1 in particular medium. Refractive index of the lens is 1.5 and radii of curvature are 20 cm and 40 cm respectively. The refractive index of surrounding medium: [28 July, 2022 (Shift-II)] (a) Power of L1 = 4 3 9 (c) (d) 3 2 7 124. Two identical thin biconvex lenses 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 _______cm. [24 June, 2022 (Shift-I)] 1 1 and for a thin convex lens in order to 125. The graph between u v determine its focal length is plotted as shown in the figure. The refractive index of lens is 1.5 and its both the surfaces have same radius of curvature R. The value of R will be ______cm. (where u = object distance, v = image distance) [26 July, 2022 (Shift-I)] (a) 1.0 (b) Y 1 v (cm ) A 0.10 0.08 0.06 0.04 0.02 1 L1 L2 6m 10m 119. 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 formed by the combination is at _________ cm from the first lens. [12 Apr, 2023 (Shift-I)] 0.02 0.04 1 (cm ) u 0.06 0.10 B X 0.08 118. A point object, O is placed in front of two thin symmetrical coaxial convex lenses L1 and L2 with focal length 24 cm and 9 cm respectively. The distance between two lenses is 10 cm and the object is placed 6 cm away from lens L1 as shown in the figure. The distance between the object and the image formed by the system of two lenses is _____cm. [10 Apr, 2023 (Shift-II)] 1 126. In an experiment with a convex lens, The plot of the image distance (v ) against the object distance (m') measured from the focus gives a curve v'm' = 225.If all the distances are measured in cm. The magnitude of the focal length of the lens is _________cm. [28 July, 2022 (Shift-II)] 127. The thickness at the centre of a plano- convex lens is 3mm and the diameter is 6cm. If the speed of light in the material of the lens is 2 108 ms 1. The focal length of the lens is [17 March, 2021 (Shift-I)] (a) 15 cm (b) 0.30 cm (c) 30 cm (d) 1.5 cm Ray Optics and Optical Instruments 689 128. Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to her nonuniform and distorted. The doctor diagnosed the problems as: [18 March, 2021 (Shift-I)] (a) Myopia with Astigmatism (b) Myopia and hypermetropia (c) Astigmatism (d) Presbyopia with Astigmatism 129. The refractive index of converging lens is 1.4. What will be the focal length of this 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. [16 March, 2021 (Shift-II)] R1 R2 (c) Infinite (d) Zero (a) 1 (b) R1 R2 130. Curved surfaces of a plano-convex lens of refractive index m1 and a planoconcave lens of refractive index m2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the combined lenses. [27 Aug, 2021 (Shift-II)] Image Object Image in the absence of mirror 12cm 8cm 135. 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 fl, then the ratio fl /f, if is closest to the integer: [7 Jan, 2020 (Shift-II)] (a) 17 (b) 1 (c) 9 (d) 5 136. For a concave lens of focal length f, the relation between object and image distances u and v, respectively, from its pole can best be represented by (u = v is the reference line) [5 Sep, 2020 (Shift-I)] v v v v = = u u f f (b) (a) u f v f !1 !2 v u (a) 1 2 1 (b) m2 m1 (c) 1 1 2 (d) m1 m2 131. 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? [31 Aug, 2021 (Shift-I)] (a) Very high, 1 f (b) , 4 4 (c) 1 , f 2 2 (d) 1, 132. Find the distance of the image from object O, formed by the combination of lenses in the figure: [27 Aug, 2021 (Shift-I)] (a) 75 cm (b) 20 cm (c) 10 cm (d) infinity v u = (d) u u f f 137. A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of curvature of a surface of a planoconvex lens made of the same material with power 1.5 P is [6 Sep, 2020 (Shift-II)] (a) 2R (b) R 2 (c) 3R 2 (d) R 3 138. A point like object is placed at a distance of 1 m in front of convex lens of focal length 0.5 m. A plane mirror is placed at a distance of 2 m behind the lens. The position and nature of the final image formed by the system is: [06 Sep, 2020 (Shift-I)] (a) 2.6 m from the mirror, real (b) 1 m from the mirror, virtual (c) 1 m from the mirror, real (d) 2.6 m from the mirror, virtual 139. The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the screen for two different positions between the screen and the object. The distance between these two positions is 40 cm. If the power of the lens is close to N where N is an integer, the value of N is ___ D 100 O 30cm 3cm 10cm 133. The same size images are formed by a convex lens 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. [25 Feb, 2021 (Shift-I)] 134. 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, a real and inverted image is formed at a position. The distance of the image from the object will be _______ (cm). [26 Aug, 2021 (Shift-II)] 690 v f = (c) u f JEE Main and Advanced Physics PYQs [4 Sep, 2020 (Shift-II)] 140. 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 ____. [8 Jan, 2020 (Shift-I)] 141. 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 lens. Now a glass block (refractive index 1.5) of 1.5 cm thickness is placed in contact with the light source. To get the sharp image again, the screen is shifted by a distance d. Then d is: [9 Jan, 2019 (Shift-I)] (a) 1.1 cm away fro the lens (b) 0 (c) 0.55 cm towards the lens (d) 0.55 cm away from the lens 142. An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mirror of focal length 10 cm is placed at a distance of 60 cm on the other side of the lens. The position and size of the final image will be: [8 April, 2019 (Shift-I)] (a) 40 cm form the convergent mirror, same size as the object (b) 20 cm form the convergent mirror, same size as the object (c) 40 cm form the convergent lens, twice size of the object (d) 20 cm from the convergent mirror, twice the size of the object 143. A thin convex lens L (refractive index = 1.5) is placed on a plane mirror M. When a pin is placed at A, such that OA = 18 cm, its real inverted image is formed at A itself, as shown in figure. When a liquid of refractive index m1 is put between the lens and the mirror, The pin has to be moved to A , such that OA = 27 cm, to get its inverted real image at A itself. The value of m1 will be: [9 April, 2019 (Shift-II)] A! A L M O 3 4 (c) 3 (d) 2 2 3 144. What is the position and nature of image formed by lens combination shown in figure? (f1, f2 are focal lengths) [12 Jan, 2019 (Shift-I)] (a) 2 b2 (a) b c (b) ac a b (c) a (d) c c 148. 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 object. If the object moves away from the lens at a speed of 5 m/s, the speed and direction of the image will be: [11 Jan, 2019 (Shift-I)] (a) 2.26 10 3 m/s away from the lens (b) 0.92 10 3 m/s away from the lens (c) 3.22 10 3 m/s towards the lens (d) 1.16 10 3 m/s towards the lens 149. A plano convex lens of refractive index 1 and focal length f1 is kept in contact with another plano concave lens of refractive index 2 and focal length f2. If the radius of curvature of their spherical faces is R each and f1 = 2f2, then 1 and 2 are related as: [10 Jan, 2019 (Shift-I)] (a) 1 + 2 = 3 (b) 2 1 2 = 1 (c) 3 2 + 1 = 1 (d) 2 2 + 1 = 1 150. Formation of real image using a biconvex lens is shown below : screen 2f 2f (b) f f 2 cm A B O 20 cm f1 = +5 cm f2 = 5 cm (a) 70 cm from point B at left; virtual (b) 40 cm from point B at right; real 20 (c) cm from point B at right; real 3 (d) 70 cm from point B at right; real 145. A plano-convex lens (focal length f2, refractive index m2, radius of curvature R) fits exactly into a plano-concave lens (focal length f1, refractive index m1, radius of curvature R). Their plane surfaces are parallel to each other. Then, the focal length of the combination will be : [12 Jan, 2019 (Shift-II)] 2 f1 f 2 R (b) (c) (d) f1 + f2 (a) f1 f2 2 1 f1 + f 2 146. A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x1 and x2 (x1 > x2) from the lens. The ratio of x1 and x2 is: [9 April, 2019 (Shift-II)] (a) 5 : 3 (b) 2 : 1 (c) 4 : 3 (d) 3 : 1 147. The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length of the lens used? [10 April, 2019 (Shift-II)] m If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen? [12 Jan, 2019 (Shift-II)] (a) Image disappears (b) Magnified image (c) Erect real image (d) No change 151. A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in figure. The radius of curvature of the left and right spherical surfaces are equal. f is the focal length of the lens when n1 = n2 = n. The focal length is f + f when n 1 = n and n 2 = n + n. Assuming n << (n 1) and 1 < n < 2, the correct statement(s) is/are: [JEE Advance 2019] n1 n2 (a) The relation between f and n remains unchanged if both n f the convex surfaces are replaced by concave surfaces of the same radius of curvature. (b) c a b v f n < f n (c) For n = 1.5, n = 10 3 and f = 20cm, the value of | f| will be 0.02 cm (round off to 2nd decimal place) n < 0, then f > 0 (d) If n f Ray Optics and Optical Instruments 691 152. An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at 135 cm mark. In this experiment, the percentage error in the measurement of the focal length of the lens is________. [JEE Advance 2019] Optical Instrument 153. A microscope is focused on an object at the bottom of a 5 is poured inside bucket. If liquid with refractive index 3 the bucket, then microscope have to be raised by 30 cm to focus the object again. The height of the liquid in the bucket is: [31 Jan, 2023 (Shift-II)] (a) 75 cm (b) 50 cm (c) 18 cm (d) 12 cm 154. In a reflecting telescope, a secondary mirror is used to: [8 Apr, 2023 (Shift-I)] (a) reduce the problem of mechanical support (b) remove spherical aberration (c) make chromatic aberration zero (d) move the eyepiece outside the telescopic tube 155. In an experiment of measuring the refractive index of a glass slab using travelling microscope in a physics lab, a student measures the real thickness of the glass slab as 5.25 mm and apparent thickness of the glass slab as 5.00 mm. Travelling microscope has 20 divisions in one cm on main scale and 50 divisions on Vernier scale is equal to 49 divisions on main scale. The estimated uncertainty in the x measurement of refractive index of the slab is 10 3 , where x 10 is _____. [29 Jan, 2023 (Shift-II)] 156. In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length of the objective, when the angular magnification of the telescope is 2 , will be: [28 July, 2022 (Shift-I)] (a) 20 cm (b) 30 cm (c) 10 cm (d) 15 cm 157. A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is _________ 10 6 m. [26 June, 2022 (Shift-II)] 158. Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.[ 26 Feb, 2021 (Shift-II)] 692 JEE Main and Advanced Physics PYQs 159. 160. 161. 162. 163. Assertion A : For a simple microscope, the angular size of the object equals the angular size of the image. Reason R : Magnification is achieved as the small object can be kept much closer to the eye than 25 cm and hence it subtends a large angle. In the light of the above statements, choose the most appropriate answer from the options given below: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is false but R is true (d) A is true but R is false 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 eyepiece along with the given lens and a tube of length 0.6 m, if the focal length of the eyepiece is equal to ________cm. [20 July, 2021 (Shift-I)] 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 [7 Jan, 2020 (Shift-I)] (a) 22 mm (b) 33 m (c) 12 m (d) 2 mm The magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its eye piece? [8 Jan, 2020 (Shift-I)] (a) 30 cm (b) 10 cm (c) 40 cm (d) 20 cm In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The focal length of its objective lens is 1 cm. If the magnification is 100 and the tube length of the microscope is 20 cm, then the focal length of the eyepiece lens (in cm) is ___________. [4 Sep, 2020 (Shift-I)] A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5 cm with a separation of 10 cm. The distance between an object and the objective lens at which the stain on the eye is minimum is n cm. The value of n is ____. 40 [5 Sep, 2020 (Shift-I)] 164. The value of numerical aperture of the objective lens of a microscope is 1.25. If light of wavelength 5000 is used, the minimum separation between two points, to be seen as distinct, will be: [12 April, 2019 (Shift-I)] (a) 0.24 mm (b) 0.38 mm (c) 0.12 mm (d) 0.48 mm 165. The wavelength of the carrier waves in a modern optical fiber communication network is close to: [8 April, 2019 (Shift-I)] (a) 600 nm (b) 900 nm (c) 2400 nm (d) 1500 nm ANSWER KEY JEE-Main 1. (a) 2. (b) 9. [150] 10. (c) 11. (b) 12. (a) 13. (c) 3. [18] 14. (c) 4. [98] 15. [32] 5. [210] 16. [32] 6. (a, b) 17. [80, 150, 220] 18. [400] 19. [3] 20. (d) 21. (d) 22. (c) 23. (c) 24. (d) 25. [1.00] 26. (b) 27. (d) 28. (a) 29. [31] 30. (b) 31. (b) 32. [52] 33. [50] 34. [3] 35. (b) 36. (a) 37. (a) 38. (d) 39. (c) 40. (c) 41. [12] 42. [9] 43. [15] 44. [4] 45. (d) 46. (d) 47. (b) 48. (c) 49. [158] 50. [2] 51. (b) 52. (d) 53. [2] 54. (a) 55. (b) 56. [5] 57. (d) 58. (a) 59. (d) 60. (a) 61. (b) 62. (d) 63. (a) 64. (b) 65. (a, b) 66. (b) 67. [50.00] 68. (d) 69. (a) 70. (a) 71. [2] 72. (d) 73. [30] 74. (a,c,d) 75. (a) 76. (d) 77. [27] 78. [4] 79. [12] 80. (a) 81. (a) 82. (b) 83. (b) 84. [600] 85. [60] 86. [5] 87. [05] 88. (a) 89. (c) 90. [1.50] 91. [200] 92. (b) 93. [120] 94. [30] 95. [225] 96. [10] 97. (c) 98. [30] 106. [20] 107. (b) 8. (c) 101. (a) 102. (d) 103. (c,d) 104. [3] 110. (a) 111. (a) 112. (c) 113. (d) 114. (b) 115. [5] 116. [4] 117. [30] 118. [34] 119. [100] 120. [54] 121. [1] 122. (a) 123. (b) 124. [10] 125. [10] 126. [15] 127. (c) 128. (a) 129. (c) 130. (d) 131. (c) 132. (a) 133. [15] 134. [50] 135. (c) 136. (d) 137. (d) 138. (a) 139. [476] 140. [60] 141. (c) 142. (*) 143. (b) 144. (d) 145. (b) 146. (d) 147. (d) 148. (d) 149. (b) 150. (a) 151. (a,c,d) 152. [1.39] 153. (a) 154. (d) 155. [41] 156. (a) 157. [5] 158. (a) 159. [25] 160. (a) 161. (b) JEE Main and Advanced Physics PYQs 109. (c) 165. (d) JEE-Advanced 1. (a) 2. (b) 3. (a, b) 4. [13.97] 6. (d) 7. (b) 8. (a) 9. (d) 12. [3] 14. (a) 15. (c) 16. (a) 17. (c) 18. (a) 19. (c) 20. (b) 23. (b) 24. (a) 25. (a) 26. (a) 27. (b, c, d) 28. [4] 29. [50.00] 30. (b) 33. (c) 34. (b) 45. (d) 46. (b) 47. (c) 48. (a) 49. (a, c) 50. (c, d) 54. (a) 55. (b) 56. (c) 57. (c) 58. (c) 59. (a) 60. (a, c, d) 61. (b, c) 64. (d) 65. [1.50] 66. [ 3 ] 69. [True] 77. (b) 78. (d) 79. (b) 80. (a) 83. (b) 84. (b) 85. (c) 86. (d) 87. (a) 88. (b) 89. (d) 90. (a) 93. (b) 94. (b) 95. (c) 96. (c) 97. (c) 98. (a) 99. (a, c, d) 100. (c, d) 103. (b, c) 104. (b, d) 105. (a) 106. (b) 107. (A) p, r (B) q, s, t (C) p, r, t (D) q, s 110. [6] 111. [1.39] 112. [75] 113. [6.06] 118. [True] 119. [False] 127. (a) 128. (d) 130. [(A) p; (B) r; (C) r; (D) p,q,r;] 708 108. (a) 99. [90] 100. (d) 162. [6.25] 163. [50.00] 164. (a) 105. [10] 7. (d) 10. 21. 31. 51. 62. 81. 91. 101. 108. 129. (c) 11. (b) 22. (b) 32. [60 ] 53. (a, c, d) 63. (c) 82. (a) 92. (a, d) 102. [220] 109. (a, b, c, d) (c, d) (d) (a) (a) (a, b, c) (b) (a) (a, c) [1]

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