Geometrical Optics

236 questions · Physics · JEE Main

Geometrical Optics

236 questions · Physics · JEE Main

A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image of an object ' O ', is : ( C is the center of curvature of the spherical surface and R is the radius of curvature) Includes diagram2025 · 2 Apr · Shift 1 · Q53 · MCQ
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 : Includes diagram2025 · 2 Apr · Shift 1 · Q62 · MCQ
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…2025 · 2 Apr · Shift 2 · Q57 · MCQ
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 lens having different radii of curvatures on both sides $(R_{1} e q R_{2})$ ,…2025 · 2 Apr · Shift 2 · Q61 · MCQ
A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to $6 0^{\circ}$ . The refractive index of the prism material is $2$ . The angle of incidence (in degrees) is 2025 · 2 Apr · Shift 2 · Q71 · Numerical
Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside prism becomes parallel to the base. B. Larger angle prisms provide smaller angle of minimum deviation. C.…2025 · 3 Apr · Shift 1 · Q58 · MCQ
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 of the lens material is2025 · 3 Apr · Shift 1 · Q67 · MCQ
Light from a point source in air falls on a spherical glass surface (refractive index, $μ = 1.5$ and radius of curvature $= 50 cm$ ). The image is formed at a distance of 200 cm from the glass surface inside the glass. The…2025 · 3 Apr · Shift 2 · Q72 · Numerical
When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To obtain an image with magnification of $\frac{1}{3}$ , the object is to be moved :2025 · 4 Apr · Shift 1 · Q61 · MCQ
Distance between object and its image (magnified by $- \frac{1}{3}$ ) is 30 cm . The focal length of the mirror used is $(\frac{x}{4}) cm$ , where magnitude of value of $x$ is .2025 · 4 Apr · Shift 1 · Q72 · Numerical
A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm . A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each…2025 · 4 Apr · Shift 2 · Q51 · MCQ
Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:2025 · 7 Apr · Shift 1 · Q64 · MCQ
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 water. (Take refractive index of water as 1.28)2025 · 7 Apr · Shift 1 · Q66 · MCQ
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 to height H above first liquid. If viewed from above, the apparent shift in the position of bottom…2025 · 7 Apr · Shift 1 · Q74 · Numerical
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Refractive index of glass is higher than that of air. Reason (R): Optical density of a medium is directly…2025 · 7 Apr · Shift 2 · Q54 · MCQ
A mirror is used to produce an image with magnification of $\frac{1}{4}$ . If the distance between object and its image is 40 cm, then the focal length of the mirror is .2025 · 7 Apr · Shift 2 · Q62 · MCQ
A transparent block A having refractive index $μ = 1.25$ is surrounded by another medium of refractive index $μ = 1.0$ as shown in the figure. A light ray is incident on the flat face of the block with incident angle $θ$ as shown… Includes diagram2025 · 7 Apr · Shift 2 · Q68 · MCQ
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 left of this lens system. The distance of the image from the lens in cm is .2025 · 8 Apr · Shift 2 · Q52 · MCQ
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 surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the…2025 · 8 Apr · Shift 2 · Q53 · MCQ
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… Includes diagram2025 · 22 Jan · Shift 1 · Q54 · MCQ
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 reflection. At what distance from the lens, an object be placed on the optic axis so that the…2025 · 22 Jan · Shift 1 · Q66 · MCQ
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…2025 · 22 Jan · Shift 1 · Q70 · Numerical
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 Includes diagram2025 · 22 Jan · Shift 2 · Q60 · MCQ
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?2025 · 23 Jan · Shift 1 · Q53 · MCQ
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…2025 · 23 Jan · Shift 1 · Q61 · MCQ
Given a thin convex lens (refractive index $μ_{2}$ ), kept in a liquid (refractive index $μ_{1}, μ_{1} < μ_{2}$ ) having radii of curvatures $∣ R_{1} ∣$ and $∣ R_{2} ∣$ . Its second surface is silver polished. Where should an…2025 · 23 Jan · Shift 1 · Q70 · MCQ
A concave mirror of focal length $f$ in air is dipped in a liquid of refractive index $μ$ . Its focal length in the liquid will be:2025 · 23 Jan · Shift 2 · Q61 · MCQ
The refractive index of the material of a glass prism is $3$ . The angle of minimum deviation is equal to the angle of the prism. What is the angle of the prism?2025 · 23 Jan · Shift 2 · Q63 · MCQ
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]2025 · 24 Jan · Shift 1 · Q53 · MCQ
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…2025 · 24 Jan · Shift 1 · Q64 · MCQ
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…2025 · 24 Jan · Shift 1 · Q65 · MCQ
A photograph of a landscape is captured by a drone camera at a height of 18 km . The size of the camera film is $2 cm \times 2 cm$ and the area of the landscape photographed is $400 km^{2}$ . The focal length of…2025 · 24 Jan · Shift 2 · Q68 · MCQ
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…2025 · 28 Jan · Shift 1 · Q66 · MCQ
A hemispherical vessel is completely filled with a liquid of refractive index $μ$ . 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… Includes diagram2025 · 28 Jan · Shift 1 · Q68 · MCQ
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 :2025 · 28 Jan · Shift 2 · Q51 · MCQ
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…2025 · 28 Jan · Shift 2 · Q66 · MCQ
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, is2025 · 29 Jan · Shift 1 · Q63 · MCQ
Two light beams fall on a transparent material block at point 1 and 2 with angle $θ_{1}$ and $θ_{2}$ , respectively, as shown in figure. After refraction, the beams intersect at point 3 which is exactly on the interface at other end… Includes diagram2025 · 29 Jan · Shift 1 · Q70 · Numerical
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 to2025 · 29 Jan · Shift 2 · Q59 · MCQ
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… Includes diagram2025 · 29 Jan · Shift 2 · Q63 · MCQ
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 Includes diagram2025 · 29 Jan · Shift 2 · Q66 · MCQ
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 $cm$ .2024 · 1 Feb · Shift 1 · Q87 · Numerical
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:2024 · 4 Apr · Shift 1 · Q64 · MCQ
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 $Δ u$ and $Δ v$ , respectively. The error in the…2024 · 4 Apr · Shift 1 · Q70 · MCQ
A light ray is incident on a glass slab of thickness $43 cm$ 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…2024 · 4 Apr · Shift 2 · Q87 · Numerical
The refractive index of prism is $μ = 3$ and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is $^{\circ}$ .2024 · 6 Apr · Shift 1 · Q87 · Numerical
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 :2024 · 6 Apr · Shift 2 · Q71 · MCQ
Critical angle of incidence for a pair of optical media is $4 5^{\circ}$ . The refractive indices of first and second media are in the ratio:2024 · 8 Apr · Shift 1 · Q75 · MCQ
The position of the image formed by the combination of lenses is : Includes diagram2024 · 8 Apr · Shift 2 · Q63 · MCQ
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…2024 · 9 Apr · Shift 1 · Q70 · MCQ
The following figure represents two biconvex lenses $L_{1}$ and $L_{2}$ having focal length $10 cm$ and $15 cm$ respectively. The distance between $L_{1}$ & $L_{2}$ is : Includes diagram2024 · 9 Apr · Shift 2 · Q80 · MCQ
If the refractive index of the material of a prism is $cot (\frac{A}{2})$ , where $A$ is the angle of prism then the angle of minimum deviation will be2024 · 27 Jan · Shift 1 · Q63 · MCQ
Identify the physical quantity that cannot be measured using spherometer :2024 · 27 Jan · Shift 1 · Q68 · MCQ
A convex lens of focal length $40 cm$ 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 $20 cm$ …2024 · 27 Jan · Shift 1 · Q74 · MCQ
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 $6 cm$ . A coin is placed at the bottom of the beaker. For near… Includes diagram2024 · 27 Jan · Shift 1 · Q84 · Numerical
A convex mirror of radius of curvature $30 cm$ forms an image that is half the size of the object. The object distance is :2024 · 29 Jan · Shift 1 · Q63 · MCQ
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:2024 · 29 Jan · Shift 1 · Q70 · MCQ
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:2024 · 29 Jan · Shift 2 · Q71 · MCQ
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.2024 · 30 Jan · Shift 1 · Q85 · Numerical
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… Includes diagram2024 · 30 Jan · Shift 2 · Q89 · Numerical
The refractive index of a prism with apex angle $A$ is $cot A /2$ . The angle of minimum deviation is :2024 · 31 Jan · Shift 1 · Q70 · MCQ
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 …2024 · 31 Jan · Shift 2 · Q86 · Numerical
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…2023 · 1 Feb · Shift 1 · Q66 · Numerical
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 .2023 · 1 Feb · Shift 2 · Q58 · MCQ
A monochromatic light wave with wavelength $λ_{1}$ and frequency $v_{1}$ in air enters another medium. If the angle of incidence and angle of refraction at the interface are $4 5^{\circ}$ and $3 0^{\circ}$ respectively, then the…2023 · 6 Apr · Shift 1 · Q52 · MCQ
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 angle of $3 0^{\circ}$ with the surface of water. If swimming pool is filled to a height of $1.5 m$ …2023 · 6 Apr · Shift 1 · Q66 · Numerical
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: The phase difference of two light waves change if they travel through different media having same thickness, but different…2023 · 6 Apr · Shift 2 · Q46 · MCQ
A 2 meter long scale with least count of $0.2 cm$ is used to measure the locations of objects on an optical bench. While measuring the focal length of a convex lens, the object pin and the convex lens are placed at $80 cm$ …2023 · 6 Apr · Shift 2 · Q49 · MCQ
In a reflecting telescope, a secondary mirror is used to:2023 · 8 Apr · Shift 1 · Q49 · MCQ
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… Includes diagram2023 · 8 Apr · Shift 1 · Q72 · Numerical
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…2023 · 8 Apr · Shift 2 · Q59 · Numerical
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…2023 · 10 Apr · Shift 1 · Q57 · MCQ
A point object, 'O' is placed in front of two thin symmetrical coaxial convex lenses $L_{1}$ and $L_{2}$ with focal length $24 cm$ and $9 cm$ respectively. The distance between two lenses is $10 cm$ … Includes diagram2023 · 10 Apr · Shift 2 · Q65 · Numerical
The critical angle for a denser-rarer interface is $4 5^{\circ}$ . The speed of light in rarer medium is $3 \times 1 0^{8} m / s$ . The speed of light in the denser medium is:2023 · 11 Apr · Shift 1 · Q51 · MCQ
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 $x : 1$ …2023 · 11 Apr · Shift 1 · Q74 · Numerical
When one light ray is reflected from a plane mirror with $3 0^{\circ}$ angle of reflection, the angle of deviation of the ray after reflection is :2023 · 11 Apr · Shift 2 · Q49 · MCQ
As shown in the figure, a plane mirror is fixed at a height of $50 cm$ from the bottom of tank containing water $(μ = \frac{4}{3})$ . The height of water in the tank is $8 cm$ . A small bulb is placed at the… Includes diagram2023 · 11 Apr · Shift 2 · Q61 · Numerical
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…2023 · 12 Apr · Shift 1 · Q51 · MCQ
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…2023 · 12 Apr · Shift 1 · Q65 · Numerical
A vessel of depth ' $d$ ' is half filled with oil of refractive index $n_{1}$ and the other half is filled with water of refractive index $n_{2}$ . The apparent depth of this vessel when viewed from above will be-2023 · 13 Apr · Shift 1 · Q49 · MCQ
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 $\frac{4}{3}$ …2023 · 13 Apr · Shift 1 · Q65 · Numerical
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.2023 · 13 Apr · Shift 2 · Q70 · Numerical
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 $^{\circ}$ .2023 · 15 Apr · Shift 1 · Q67 · Numerical
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 refraction index of the material for… Includes diagram2023 · 24 Jan · Shift 1 · Q68 · Numerical
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 :2023 · 24 Jan · Shift 2 · Q52 · MCQ
A convex lens of refractive index 1.5 and focal length 18cm in air is immersed in water. The change in focal length of the lens will be cm. (Given refractive index of water $= \frac{4}{3}$ )2023 · 24 Jan · Shift 2 · Q64 · Numerical
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 a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray…2023 · 25 Jan · Shift 1 · Q66 · Numerical
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…2023 · 25 Jan · Shift 2 · Q47 · MCQ
An object is placed on the principal axis of convex lens of focal length 10cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5cm inside the mirror. The… Includes diagram2023 · 25 Jan · Shift 2 · Q68 · Numerical
A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he should. (Select the best option)2023 · 29 Jan · Shift 2 · Q51 · MCQ
In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student measures real thickness of the glass slab as 5.25 mm and apparent thickness of the glass slab as 5.00 mm. Travelling…2023 · 29 Jan · Shift 2 · Q63 · Numerical
A person has been using spectacles of power $- 1.0$ dioptre for distant vision and a separate reading glass of power $2.0$ dioptres. What is the least distance of distinct vision for this person :2023 · 30 Jan · Shift 1 · Q57 · MCQ
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…2023 · 30 Jan · Shift 1 · Q60 · Numerical
A thin prism $P_{1}$ with an angle $6^{\circ}$ and made of glass of refractive index $1.54$ is combined with another prism $P_{2}$ made from glass of refractive index $1.72$ to produce dispersion without average deviation. The angle of prism $P_{2}$ …2023 · 30 Jan · Shift 2 · Q53 · MCQ
A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is poured inside the bucket, then the microscope has to be raised by $30 cm$ to focus the object again. The height of…2023 · 31 Jan · Shift 2 · Q57 · MCQ
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 …2022 · 24 Jun · Shift 1 · Q63 · Numerical
A ray of light is incident at an angle of incidence 60 $^{\circ}$ 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…2022 · 24 Jun · Shift 2 · Q68 · Numerical
Which of the following statement is correct?2022 · 25 Jul · Shift 1 · Q55 · MCQ
Time taken by light to travel in two different materials $A$ and $B$ of refractive indices $μ_{A}$ and $μ_{B}$ of same thickness is $t_{1}$ and $t_{2}$ respectively. If $t_{2} - t_{1} = 5 \times 1 0^{- 10}$ s and the ratio of $μ_{A}$ to $μ_{B}$ …2022 · 25 Jul · Shift 1 · Q56 · MCQ
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…2022 · 25 Jul · Shift 2 · Q52 · MCQ
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…2022 · 25 Jul · Shift 2 · Q69 · Numerical
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…2022 · 25 Jun · Shift 1 · Q57 · MCQ
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 vacuum c…2022 · 25 Jun · Shift 1 · Q60 · MCQ
The graph between $\frac{1}{u}$ and $\frac{1}{v}$ for a thin convex lens in order to 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… Includes diagram2022 · 26 Jul · Shift 1 · Q70 · Numerical
Light travels in two media $M_{1}$ and $M_{2}$ with speeds $1.5 \times 1 0^{8} ms^{- 1}$ and $2.0 \times 1 0^{8} ms^{- 1}$ respectively. The critical angle between them is :2022 · 26 Jul · Shift 2 · Q46 · MCQ
In the given figure, the face $A C$ of the equilateral prism is immersed in a liquid of refractive index ' $n$ '. For incident angle $6 0^{\circ}$ at the side $A C$ , the refractive light beam just grazes along face $A C$ . The refractive index… Includes diagram2022 · 26 Jul · Shift 2 · Q60 · Numerical
A light ray is incident, at an incident angle $θ$ 1, on the system of tow plane mirrors M1 and M2 having an inclination angle 75 $^{\circ}$ between them (as shown in figure). After reflecting from mirror M1 it gets reflected back by the… Includes diagram2022 · 26 Jun · Shift 1 · Q64 · Numerical
A small bulb is placed at the bottom of a tank containing water to a depth of $7$ m. The refractive index of water is $\frac{4}{3}$ . The area of the surface of water through which light from the bulb can emerge out is x $π$ m2. The…2022 · 26 Jun · Shift 2 · Q70 · Numerical
A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For a light whose wavelength in air is $λ$ , calculate the change of microscope's resolving power due to oil and choose…2022 · 27 Jul · Shift 1 · Q60 · MCQ
A thin prism of angle $6^{\circ}$ and refractive index for yellow light $(n_{Y}) 1.5$ is combined with another prism of angle $5^{\circ}$ and $n_{Y} = 1.55$ . The combination produces no… Includes diagram2022 · 27 Jul · Shift 2 · Q58 · Numerical
Consider a light ray travelling in air is incident into a medium of refractive index $2 n$ . The incident angle is twice that of refracting angle. Then, the angle of incidence will be :2022 · 27 Jun · Shift 1 · Q57 · MCQ
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… Includes diagram2022 · 27 Jun · Shift 2 · Q60 · MCQ
As shown in the figure, after passing through the medium 1 . The speed of light $v_{2}$ in medium 2 will be : $($ Given $c = 3 \times 1 0^{8} ms^{- 1}$ ) Includes diagram2022 · 28 Jul · Shift 1 · Q60 · MCQ
In normal adujstment, 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 :2022 · 28 Jul · Shift 1 · Q61 · MCQ
The power of a 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:2022 · 28 Jul · Shift 2 · Q55 · MCQ
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 \mathrm{~cm} /… Includes diagram2022 · 28 Jul · Shift 2 · Q64 · Numerical
In an experiment with a convex lens, The plot of the image distance $(v^{'})$ against the object distance ( $μ^{'})$ measured from the focus gives a curve $v^{'} μ^{'} = 225$ . If all the…2022 · 28 Jul · Shift 2 · Q65 · Numerical
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 -2022 · 28 Jun · Shift 1 · Q54 · MCQ
The aperture of the objective is 24.4 cm. The resolving power of this telescope, if a light of wavelength 2440 $A o$ is used to see th object will be :2022 · 28 Jun · Shift 1 · Q55 · MCQ
The X-Y plane be taken as the boundary between two transparent media $M_{1}$ and $M_{2}$ . $M_{1}$ in $Z ⩾ 0$ has a refractive index of $2$ and $M_{2}$ with $Z < 0$ has a refractive index of $3$ …2022 · 29 Jul · Shift 1 · Q75 · Numerical
Light enters from air into a given medium at an angle of $4 5^{\circ}$ with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of $1 5^{\circ}$ from its original direction. The refractive index…2022 · 29 Jul · Shift 2 · Q61 · MCQ
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.2022 · 29 Jun · Shift 1 · Q65 · Numerical
The speed of light in media 'A' and 'B' are $2.0 \times 1 0^{10}$ cm/s and $1.5 \times 1 0^{10}$ cm/s respectively. A ray of light enters from the medium B to A at an incident angle ' $θ$ '. If the ray suffers total internal…2022 · 29 Jun · Shift 2 · Q47 · MCQ
The refractive index of an equilateral prism is $2$ . The angle of emergence under minimum deviation position of prism, in degree, is .2022 · 30 Jun · Shift 1 · Q65 · Numerical
A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ( $μ$ = 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…2021 · 1 Sep · Shift 2 · Q57 · MCQ
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… Includes diagram2021 · 16 Mar · Shift 1 · Q49 · MCQ
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.2021 · 16 Mar · Shift 2 · Q47 · MCQ
Red light differs from blue light as they have :2021 · 16 Mar · Shift 2 · Q52 · MCQ
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…2021 · 16 Mar · Shift 2 · Q69 · Numerical
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 .2021 · 17 Mar · Shift 1 · Q53 · MCQ
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 $\frac{2 ^{r d}}{3}$ of the distance of the object from the surface. The wavelength of…2021 · 17 Mar · Shift 2 · Q63 · Numerical
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 :2021 · 18 Mar · Shift 1 · Q59 · MCQ
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,… Includes diagram2021 · 18 Mar · Shift 2 · Q50 · MCQ
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 : Includes diagram2021 · 20 Jul · Shift 1 · Q61 · MCQ
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…2021 · 20 Jul · Shift 1 · Q66 · Numerical
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… Includes diagram2021 · 22 Jul · Shift 2 · Q59 · MCQ
A ray of light passing through a prism ( $μ$ = $3$ ) 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…2021 · 22 Jul · Shift 2 · Q65 · Numerical
The focal length f is related to the radius of curvature r of the spherical convex mirror by :2021 · 24 Feb · Shift 1 · Q52 · MCQ
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.2021 · 25 Feb · Shift 1 · Q66 · Numerical
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.2021 · 25 Jul · Shift 1 · Q54 · MCQ
A prism of refractive index $μ$ 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 index2021 · 25 Jul · Shift 2 · Q50 · MCQ
A ray of light entering from air into a denser medium of refractive index $\frac{4}{3}$ , as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle $θ$ should be… Includes diagram2021 · 25 Jul · Shift 2 · Q61 · MCQ
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?2021 · 26 Aug · Shift 1 · Q45 · MCQ
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… Includes diagram2021 · 26 Aug · Shift 2 · Q71 · Numerical
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…2021 · 26 Feb · Shift 1 · Q49 · MCQ
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.2021 · 26 Feb · Shift 2 · Q56 · MCQ
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…2021 · 26 Feb · Shift 2 · Q60 · MCQ
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… Includes diagram2021 · 26 Feb · Shift 2 · Q73 · Numerical
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 :2021 · 27 Aug · Shift 1 · Q46 · MCQ
Find the distance of the image from object O, formed by the combination of lenses in the figure : Includes diagram2021 · 27 Aug · Shift 1 · Q54 · MCQ
Curved surfaces of a plano-convex lens of refractive index $μ$ 1 and a plano-concave lens of refractive index $μ$ 2 have equal radius of curvature as shown in figure. Find the ratio of radius of curvature to the focal length of the… Includes diagram2021 · 27 Aug · Shift 2 · Q42 · MCQ
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 $λ$ , the wavelength of light, according to the relation $n_{1} = 1.2 + \frac{10.8 \times 10 ^{- 14}}{λ ^{2}}$ … Includes diagram2021 · 27 Jul · Shift 1 · Q70 · Numerical
The expected graphical representation of the variation of angle of deviation ' $δ$ ' with angle of incidence 'i' in a prism is :2021 · 27 Jul · Shift 2 · Q46 · MCQ
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?2021 · 31 Aug · Shift 1 · Q49 · MCQ
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 $5$ = 2.3) Includes diagram2021 · 31 Aug · Shift 1 · Q56 · MCQ
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… Includes diagram2021 · 31 Aug · Shift 2 · Q70 · Numerical
A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not… Includes diagram2020 · 2 Sep · Shift 1 · Q39 · MCQ
A light ray enters a solid glass sphere of refractive index $μ$ = $3$ at an angle of incidence 60o. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and…2020 · 2 Sep · Shift 2 · Q60 · Numerical
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 up to a height of 30 cm the… Includes diagram2020 · 3 Sep · Shift 1 · Q43 · Numerical
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 cms–1, the speed (in cms–1) with which image moves at that instant is…2020 · 3 Sep · Shift 2 · Q44 · Numerical
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…2020 · 4 Sep · Shift 1 · Q61 · Numerical
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…2020 · 4 Sep · Shift 2 · Q41 · Numerical
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 strain on the eye is minimum is $\frac{n}{40}$ …2020 · 5 Sep · Shift 1 · Q42 · Numerical
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) :2020 · 5 Sep · Shift 1 · Q53 · MCQ
A prism of angle A = 1o has a refractive index $μ$ = 1.5. A good estimate for the minimum angle of deviation (in degrees) is close to $\frac{N}{10}$ . Value of N is .2020 · 5 Sep · Shift 2 · Q56 · Numerical
A point like object is placed at a distance of 1 m in front of a 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 :2020 · 6 Sep · Shift 1 · Q44 · MCQ
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 plano-convex lens made of the same material with power 1.5 P is :2020 · 6 Sep · Shift 2 · Q45 · MCQ
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 :2020 · 7 Jan · Shift 1 · Q52 · MCQ
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 $\frac{f _{1}}{f}$ is closest to the integer :2020 · 7 Jan · Shift 2 · Q53 · MCQ
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 …2020 · 8 Jan · Shift 1 · Q50 · Numerical
The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\frac{4}{3}$ for this wavelength, will be :2020 · 8 Jan · Shift 1 · Q52 · MCQ
The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?2020 · 8 Jan · Shift 1 · Q60 · MCQ
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…2020 · 8 Jan · Shift 2 · Q46 · MCQ
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 $A o$ , the minimum separation between objects on the surface of moon, so that they are…2020 · 9 Jan · Shift 1 · Q65 · MCQ
A vessel of depth 2h is half filled with a liquid of refractive index $22$ 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…2020 · 9 Jan · Shift 1 · Q66 · MCQ
There is a small source of light at some depth below the surface of water (refractive index = $\frac{4}{3}$ ) in a tank of large cross sectional surface area. Neglecting any reflection from the bottom and absorption by water, percentage of…2020 · 9 Jan · Shift 2 · Q57 · MCQ
In figure, the optical fiber is $l$ = 2m long and has a diameter of d = 20 μm. If a ray of light is incident on one end of the fiber at angle $θ_{1}$ = 40°, the number of reflection it makes before emerging from the other end is close… Includes diagram2019 · 8 Apr · Shift 1 · Q57 · MCQ
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…2019 · 8 Apr · Shift 1 · Q64 · MCQ
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…2019 · 8 Apr · Shift 2 · Q59 · MCQ
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 :2019 · 9 Apr · Shift 1 · Q45 · MCQ
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 :-2019 · 9 Apr · Shift 2 · Q63 · MCQ
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 μ1 is put… Includes diagram2019 · 9 Apr · Shift 2 · Q66 · MCQ
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…2019 · 9 Jan · Shift 1 · Q70 · MCQ
Two plane mirrors are inclined to each other such that a ray of light incident on 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…2019 · 9 Jan · Shift 2 · Q59 · MCQ
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: Includes diagram2019 · 10 Apr · Shift 1 · Q50 · MCQ
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 $μ$ 1 and that of 2 is $μ$ 2, then… Includes diagram2019 · 10 Apr · Shift 1 · Q58 · MCQ
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? Includes diagram2019 · 10 Apr · Shift 2 · Q70 · MCQ
A plano convex lens of refractive index $μ$ 1 and focal length ƒ1 is kept in contact with another plano concave lens of refractive index $μ$ 2 and focal length ƒ2. If the radius of curvature of their spherical faces is R each and ƒ1 =…2019 · 10 Jan · Shift 1 · Q52 · MCQ
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 separateds two media of refractive indices 1 and 1.34. Calculate the distance from the…2019 · 10 Jan · Shift 2 · Q59 · MCQ
The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of the following graphs is the correct one, if Dm is the angle of minimum deviation? Includes diagram2019 · 11 Jan · Shift 1 · Q56 · MCQ
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 :2019 · 11 Jan · Shift 1 · Q63 · MCQ
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 is:2019 · 11 Jan · Shift 2 · Q63 · MCQ
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… Includes diagram2019 · 12 Apr · Shift 1 · Q47 · MCQ
A transparent cube of side, made of a material of refractive index $μ$ 2, is immersed in a liquid of refractive index $μ$ 1( $μ$ 1 < $μ$ 2). A ray is incident on the face AB at an angle $θ$ (shown in the figure). Total… Includes diagram2019 · 12 Apr · Shift 2 · Q58 · MCQ
What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths) Includes diagram2019 · 12 Jan · Shift 1 · Q50 · MCQ
A point source of light, S is placed at 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 2L as shown… Includes diagram2019 · 12 Jan · Shift 1 · Q58 · MCQ
A plano-convex lens (focal length f2, refractive index $μ$ 2, radius of curvature R) fits exactly into a plano-concave lens (focal length f1, refractive index $μ$ 1, radius of curvature R). Their plane surfaces are parallel to each…2019 · 12 Jan · Shift 2 · Q60 · MCQ
Formation of real image using a biconvex lens is shown below : If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen ? Includes diagram2019 · 12 Jan · Shift 2 · Q69 · MCQ
A particle is oscillating on the $X$ -axis with an amplitude $2 c m$ about the point $x_{0} = 10 c m,$ with a frequency $ω$ . A concave mirror of local length $5 c m$ is placed at the origin (see figure). Identify the correct statements. Includes diagram2018 · 15 Apr · Shift 1 · Q50 · MCQ
A planoconvex lens becomes an optical system of $28 c m$ focal length when its plane surface is silvered and illuminated from left to right as shown in Fig-A. If the same lens is instead silvered on the curved surface and illuminated from… Includes diagram2018 · 15 Apr · Shift 1 · Q57 · MCQ