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Geometrical Optics

61 questions · Physics · JEE Advanced

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JEE Advanced
Physics
Geometrical Optics

Geometrical Optics

61 questions · Physics · JEE Advanced

A solid glass sphere of refractive index $n = 3$ and radius $R$ contains a spherical air cavity of radius $\frac{R}{2}$ , as shown in the figure. A very thin glass layer is present at the point 0 so that the air cavity (refractive… Includes diagram2025 · Shift 1 · Q43 · Numerical
Two identical concave mirrors each of focal length f are facing each other as shown in the schematic diagram. The focal length f is much larger than the size of the mirrors. A glass slab of thickness t and refractive index n_0 is kept… Includes diagram2025 · Shift 2 · Q38 · Multiple correct
A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is $9 cm$ , while the planar surface (STU) acts as a mirror. This beaker is filled… Includes diagram2024 · Shift 1 · Q41 · Multiple correct
A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence $θ_{0}$ . The ray partially refracts into the sphere with angle of refraction $ϕ_{0}$ and then partly reflects from the back surface.… Includes table2024 · Shift 1 · Q50 · MCQ
Two equilateral-triangular prisms $P_{1}$ and $P_{2}$ are kept with their sides parallel to each other, in vacuum, as shown in the figure. A light ray enters prism $P_{1}$ at an angle of incidence $θ$ such that… Includes diagram2024 · Shift 2 · Q45 · Numerical
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 $δ = 6 0^{\circ}$ (see Figure-1). The angle of minimum deviation for red… Includes diagram2023 · Shift 1 · Q36 · Multiple correct
An optical arrangement consists of two concave mirrors $M_{1}$ and $M_{2}$ , and a convex lens $L$ with a common principal axis, as shown in the figure. The focal length of $L$ is $M_{1}$ . The radii of curvature of $M_{1}$ and $M_{2}$ … Includes diagram2023 · Shift 1 · Q43 · Numerical
A monochromatic light wave is incident normally on a glass slab of thickness $d$ , as shown in the figure. The refractive index of the slab increases linearly from $n_{1}$ to $n_{2}$ over the height $h$ . Which of the following statement(s)… Includes diagram2023 · Shift 2 · Q39 · Multiple correct
A rod of length $\frac{2 π}{3} rad$ makes an angle $\frac{2 π}{3} rad$ with the principal axis of a thin convex lens. The lens has a focal length of $\frac{40}{3} cm$ and is placed at a distance of $\frac{40}{3} cm$ from… Includes diagram2022 · Shift 1 · Q40 · Numerical
Three plane mirrors form an equilateral triangle with each side of length $L$ . There is a small hole at a distance $l > 0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle $θ$ and… Includes diagram2022 · Shift 1 · Q48 · Multiple correct
List I contains four combinations of two lenses (1 and 2) whose focal lengths (in $cm$ ) are indicated in the figures. In all cases, the object is placed $20 cm$ from the first lens on the left, and the distance between… Includes table Includes diagram2022 · Shift 1 · Q54 · MCQ
Consider a configuration of $n$ identical units, each consisting of three layers. The first layer is a column of air of height $h = \frac{1}{3} cm$ , and the second and third layers are of equal thickness $d = \frac{3 - 1}{2} cm$ … Includes diagram2022 · Shift 2 · Q41 · Numerical
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 $V_{0} = 15 cm s^{- 1}$ towards the mirror with respect… Includes diagram2022 · Shift 2 · Q44 · Numerical
An extended object is placed at point O, 10 cm in front of a convex lens L1 and a concave lens L2 is placed 10 cm behind it, as shown in the figure. The radii of curvature of all the curved surfaces in both the lenses ae 20 cm. The… Includes diagram2021 · Shift 1 · Q41 · MCQ
A wide slab consisting of two media of refractive indices n1 and n2 is placed in air as shown in the figure. A ray of light is incident from medium n1 to n2 at an angle $θ$ , where sin $θ$ is slightly larger than 1/n1. Take… Includes diagram2021 · Shift 1 · Q50 · Multiple correct
For a prism of prism angle $θ$ = 60 $^{\circ}$ , the refractive indices of the left half and the right half are, respectively, n1 and n2 (n2 $\geq$ n1) as shown in the figure. The angle of incidence i is chosen such that the incident… Includes diagram2021 · Shift 2 · Q41 · Multiple correct
A large square container with thin transparent vertical walls and filled with water (refractive index $\frac{4}{3}$ ) is kept on a horizontal table. A student holds a thin straight wire vertically inside the water 12 cm from one of its… Includes diagram2020 · Shift 2 · Q42 · Numerical
A beaker of radius r is filled with water (refractive index $\frac{4}{3}$ ) up to a height H as shown in the figure on the left. The beaker is kept on a horizontal table rotating with angular speed $ω$ . This makes the water surface… Includes diagram2020 · Shift 2 · Q43 · Multiple correct
A thin convex lens is made of two materials with refractive indices n1 and n2, as shown in the 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… Includes diagram2019 · Shift 1 · Q43 · Multiple correct
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. CD only if the total… Includes diagram2019 · Shift 1 · Q50 · Numerical
Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surface as shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii… Includes diagram2019 · Shift 2 · Q39 · Multiple correct
A monochromatic light is incident from air on a refracting surface of a prism of angle 75 $^{\circ}$ and refractive index $n_{0} = 3$ . The other refracting surface of the prism is coated by a thin film of material of refractive index n… Includes diagram2019 · Shift 2 · Q46 · Numerical
Sunlight of intensity $1.3 k W m^{- 2}$ is incident normally on a thin convex lens of focal length $20$ cm. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The…2018 · Shift 1 · Q47 · Numerical
A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length $f,$ as shown in the figure. Which of the figures shown in the four options qualitatively represent(s) the shape of the image… Includes diagram2018 · Shift 2 · Q43 · Multiple correct
For an isosceles prism of angle $A$ and refractive index $μ$ , it is found that the angle of minimum deviation $δ_{m} = A .$ Which of the following options is/are correct?2017 · Shift 1 · Q43 · Multiple correct
A monochromatic light is travelling in a medium of refractive index $n = 1.6.$ It enters a stack of glass layers from the bottom side at an angle $θ = 3 0^{\circ} .$ The interfaces of the glass layers are parallel to each other. The… Includes diagram2017 · Shift 1 · Q46 · Numerical
A parallel beam of light is incident from air at an anglea on the side PQ of a right angled triangular prism of refractive index n = $2$ . Light undergoes total internal reflection in the prism at the face PR when a has a minimum… Includes diagram2016 · Shift 1 · Q42 · MCQ
A plano-convex lens is made of material of refractive index n. When a small object is placed 30 cm away in front of the curved surface of the lens, an image of double the size of the object is produced. Due to reflection from the convex…2016 · Shift 1 · Q45 · Multiple correct
A transparent slab of thickness d has a refractive index n (z) that increases with z. Here, z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n1 and n2… Includes diagram2016 · Shift 1 · Q48 · Multiple correct
A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the… Includes diagram2016 · Shift 2 · Q45 · MCQ
Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance of 50 cm in air (refractive index = 1) as shown in the figure. An object is placed at a distance of 15 cm from the… Includes diagram2015 · Shift 1 · Q48 · Numerical
Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line)… Includes diagram2015 · Shift 1 · Q54 · Multiple correct
A monochromatic beam of light is incident at 60 $^{\circ}$ on one face of an equilateral prism of refractive index n and emerges from the opposite face making an angle $θ$ (n) with the normal (see figure). For n = $3$ the value of $θ$ … Includes diagram2015 · Shift 2 · Q48 · Numerical
Light guidance in an optical fibre can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1 surrounded by a medium of lower refractive index n2. The light guidance in the structure takes… Includes diagram2015 · Shift 2 · Q57 · Multiple correct
Light guidance in an optical fibre can be understood by considering a structure comprising of thin solid glass cylinder of refractive index n1 surrounded by a medium of lower refractive index n2. The light guidance in the structure takes… Includes diagram2015 · Shift 2 · Q58 · Multiple correct
A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n2 = 1.5, as shown in the figure. Rays of light… Includes diagram2014 · Shift 1 · Q54 · Multiple correct
A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the below figure. It is found that the light emerging from the block… Includes diagram2014 · Shift 2 · Q51 · MCQ
Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List I with their focal length in List II and… Includes diagram2014 · Shift 2 · Q59 · MCQ
The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is $\frac{2}{3}$ times the wavelength in free space. The…2013 · Shift 1 · Q42 · MCQ
A ray of light travelling in the direction $\frac{1}{2} (i + 3 j)$ is incident on a plane mirror. After reflection, it travels along the direction $\frac{1}{2} (i - 3 j)$ …2013 · Shift 1 · Q53 · MCQ
A right-angled prism of refractive index $μ$ 1 is placed in a rectangular block of refractive index $μ$ 2, which is surrounded by a medium of refractive index $μ$ 3, as shown in the figure. A ray of light e enters the rectangular block… Includes table Includes diagram2013 · Shift 2 · Q58 · MCQ
A biconvex lens is formed with two planoconvex lenses as shown in the figure. Refractive index n of the first lens is 1.5 and that of the second lens is 1.2. Both curved surface are of the same radius of curvature R = 14 cm. For this… Includes diagram2012 · Shift 1 · Q47 · MCQ
Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, $\frac{s i n θ _{1}}{s i n θ _{2}} = \frac{n _{2}}{n _{1}}$ , it is understood…2012 · Shift 2 · Q57 · MCQ
Most materials have the refractive index, n > 1. So, when a light ray from air enters a naturally occurring material, then by Snell's law, $\frac{s i n θ _{1}}{s i n θ _{2}} = \frac{n _{2}}{n _{1}}$ , it is understood…2012 · Shift 2 · Q58 · MCQ
Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R = 6 cm as shown. Consider oil to act a thin lens. An object S is placed 24 cm above… Includes diagram2011 · Shift 2 · Q58 · Numerical
A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60 $^{\circ}$ (see figure). If the refractive index of the material of the prism is $3$ , which of the following is(are)… Includes diagram2010 · Shift 1 · Q74 · Multiple correct
The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m25 to m50. The ratio $\frac{m _{25}}{m _{50}}$ is …2010 · Shift 1 · Q81 · Numerical
A biconvex lens of focal length 15 cm is in front of a plane mirror. The distance between the lens and the mirror is 10 cm. A small object is kept at a distance of 30 cm from the lens. The final image is2010 · Shift 2 · Q48 · MCQ
A large glass slab ( $μ$ = 5/3) of thickness 8 cm is placed over a point source of light on a plane surface. It is seen that light emerges out of the top surface of the slab from a circular area of radius R cm. What is the value of R?2010 · Shift 2 · Q49 · Numerical
Image of an object approaching a convex mirror of radius of curvature 20 m along its optical axis is observed to move from $\frac{25}{3}$ m to $\frac{50}{7}$ m in 30 s. What is the speed of the object in km per hour?2010 · Shift 2 · Q50 · Numerical
Two transparent media of refractive indices $μ_{1}$ and $μ_{3}$ have a solid lens shaped transparent material of refractive index $μ_{2}$ between them as shown in figures in Column II. A ray traversing these media is also shown in the… Includes diagram2010 · Shift 2 · Q56 · MCQ
A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fish inside the lake, in the line of fall of the ball, is looking at the ball. At an instant, when the ball is 12.8 m…2009 · Shift 1 · Q48 · MCQ
A student performed the experiment of determination of focal length of a concave mirror by $u$ - $v$ method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the image…2009 · Shift 1 · Q51 · Multiple correct
Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60 $^{\circ}$ ). In the position of minimum deviation, the angle of refraction will be :2008 · Shift 1 · Q50 · MCQ
A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and IV are $n_{0}, \frac{n _{0}}{2}, \frac{n _{0}}{6}$ and $\frac{n _{0}}{8}$ , respectively. The angle of incidence $θ$ … Includes diagram2008 · Shift 2 · Q54 · MCQ
An optical component and an object S placed along its optic axis are given in Column I. The distance between the object and the component can be varied. The properties of images are given in Column II. Match all the properties of images… Includes table Includes diagram2008 · Shift 2 · Q65 · MCQ
In an experiment to determine the focal length (f) of a concave mirror by the u-v method, a student places the object pin A on the principal axis at a distance x form the pole P. The student looks at the pin and its inverted image form a…2007 · Shift 1 · Q46 · MCQ
A ray of light travelling in water in incident on its surface open to air. The angle of incidence is $θ$ , which is less than the critical angle. Then there will be2007 · Shift 1 · Q51 · MCQ
Statement 1 : The formula connecting u, v and f for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. Statement 2 : Laws of reflection are strictly valid for plane surfaces, but…2007 · Shift 1 · Q65 · MCQ
The figure shows surface XY separating two transparent media, medium -1 and medium -2 . The lines ab and cd represent wavefronts of a light wave traveling in medium -1 and incident on X Y. The lines ef and gh represent wavefronts of the… Includes diagram2007 · Shift 2 · Q25 · MCQ
The figure shows surface XY separating two transparent media, medium -1 and medium -2 . The lines ab and cd represent wavefronts of a light wave traveling in medium -1 and incident on X Y. The lines ef and gh represent wavefronts of the… Includes diagram2007 · Shift 2 · Q26 · MCQ