Ray Optics PYQs Set 8 (PDF)

Set 8 of 18 · Questions 211-240 of 521

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Mere Teacher · Previous Year Questions JEE Main Physics · Ray Optics · Set 8 (Q211-240)
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211. $A hemispherical vessel is completely filled with a liquid of refractive index . A small coin iskept at the lowest point of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is$ (1) $3$ (2) $\frac{3}{2}$ (3) $\frac{3}{2}$ (4) $2$ 212. $A convex lens is made of 3 layers of glass of 3 different materials as in the figure. A point object is placed on its axis. The number of images of the object are$ (1) $3$ (2) $4$ (3) $1$ (4) $2$ 213. $An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm. If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be$ (1) $30 cm away from the mirror$ (2) $36 cm towards the mirror$ (3) $30 cm towards the mirror$ (4) $36 cm away from the mirror$ 214. $The speed of light in media M1 and M2 are 1.5 \times 1 0^{8} m/s and 2.0 \times 1 0^{8} m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is$ (1) $Equal to sin^{- 1} (\frac{3}{4})$ (2) $Equal to or less than sin^{- 1} (\frac{3}{4})$ (3) $Equal to or greater than sin^{- 1} (\frac{3}{4})$ (4) $Less than sin^{- 1} (\frac{3}{4})$ 215. $Two objects A and B arc placed at 15 cm and 25 cm from the pole in front of a concave mirror having radius of curvature 40 cm. The distance between images formed by the mirror is:$ (1) $40 cm$ (2) $60 cm$ (3) $160cm$ (4) $100cm$ 216. $5. In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be 0. 2^{o} . What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water?.of the$ (1) $0. 1^{o}$ (2) $0.26 6^{o}$ (3) $0.1 5^{o}$ (4) $0.0 5^{o}$ 217. $A ray of light is incident on a surface of glass slab at an angle . If the lateral shift produced per unit thickness is , the angle of refraction produced is$ (1) $tan^{- 1} (\frac{3}{2})$ (2) $tan^{- 1} (1 - \frac{2}{3})$ (3) $sin^{- 1} (1 - \frac{2}{3})$ (4) $tan^{- 1} (\frac{2}{3 - 1})$ 218. $Figure shows a mixture of blue, green and red coloured rays incident normally on a right angled prism. The critical angles of the material of the prism for red, green and blue are 46^{\circ}, 44^{\circ} and 43^{\circ} respectively. The arrangement will separate$ (1) $green colour from red and blue$ (2) $all the three colours$ (3) $red colour from blue and green$ (4) $blue colour from red and green.$ 219. $Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M_{1}) and parallel to the second mirror (M_{2}) is finally reflected from the second mirror (M_{2}) parallel to the first mirror (M_{1}) . The angle between the two mirrors will be:$ (1) $45^{\circ}$ (2) $60^{\circ}$ (3) $75^{\circ}$ (4) $90^{\circ}$ 220. $If a convex lens of focal length 80 cm and a concave lens of focal length 50 cm are combined together, what will be their resulting power?.$ (1) $+ 7.5 D$ (2) $- 0.75 D$ (3) $+ 6.5 D$ (4) $- 6.5 D .$ 221. $What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' ' in terms of the angle of incidence ' ' and angle of refraction ' ', if the glass slab is placed in air medium?$ (1) $\frac{h tan ( i - r )}{tan r}$ (2) $\frac{h sin ( i - r )}{cos r}$ (3) $h$ (4) $\frac{h cos ( i - r )}{sin r}$ 222. $The angle of deviation through a prism is minimum when Incident ray and emergent ray are symmetric to the prism(B) The refracted ray inside the prism becomes parallel to its base(C) Angle of incidence is equal to that of the angle of emergence When angle of emergence is double the angle of incidence Choose the correct answer from the optionsgiven below :$ (1) $Statements (A), (B) and (C) are true$ (2) $Only statement (D) is true$ (3) $Only statements (A) and (B) are true$ (4) $Statements (B) and (C) are true$ 223. $A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is µ, then the angle of incidence is nearly equal to [NEET 2020]$ (1) $\frac{2 A}{μ}$ (2) $µA$ (3) $\frac{μA}{2}$ (4) $\frac{A}{2 μ}$ 224. $A photograph of a landscape is captured by a drone camera at a height of 18 km. The size of the camera film is 2 cm \times 2 cm and the area of the landscape photographed is 400 km^{2} . The focal length of the lens in the drone camera is:$ (1) $1.8 cm$ (2) $0.9 cm$ (3) $2.8 cm$ (4) $2.5 cm$ 225. $As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes along the second surface.If refractive index of the material of prism is , the angle of prism is.$ (1) $60^{\circ}$ (2) $45^{\circ}$ (3) $90^{\circ}$ (4) $75^{\circ}$ 226. $Adisc is placed on asurface ofpond which has refractive index 5/3. Asource oflight is placed 4 below the surface of liquid. The minimum radius of disc needed so that light is not coming out is,$ (1) $\infty$ (2) $3 m$ (3) $6m$ (4) $4m$ 227. $Two identical glass (μ_{g} = 3 / 2) equi-convex lenses of focal length f each are kept in contact. The space between the two lenses is filled with water (μ_{w} = 4/3). The focal length of the combination is [NEET 2016]$ (1) $f/3$ (2) $f$ (3) $\frac{4 f}{3}$ (4) $\frac{3 f}{4}$ 228. $An object 2.4 m in front of a lens forms a sharp image on a film 12 cm behind the lens. A glass plate 1 cm thick, of refractive index 1.50 is interposed between lens and film with its plane faces parallel to film. At what distance (from lens) should object shifted to be in sharp focus on film ?$ (1) $7.2 m$ (2) $2.4 m$ (3) $3.2 m$ (4) $5.6 m$ 229. $A ray of light entering from air into a denser medium of refractive index , as shown in figure. The light ray suffers total internal reflection at the adjacent surface as shown. The maximum value of angle should be equal to :$ (1) $sin^{- 1} \frac{7}{3}$ (2) $sin^{- 1} \frac{5}{4}$ (3) $sin^{- 1} \frac{7}{4}$ (4) $sin^{- 1} \frac{5}{3}$ 230. $A convex lens focusses an object from it on a screen placed away from it. A glass plate (refractive index ) of thickness is inserted between the lens and the screen. What is the distance of the object from the lens, so that its image is again focused on the screen?$ (1) $22.5 cm$ (2) $30.7 cm$ (3) $25.0 cm$ (4) $28.4 cm$ 231. $A concave mirror has radius of curvature of It isat the bottom of a glass that has water filled up to (see figure). If a small partricle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance from the surface of water. The value of isclose to:(Refractive index of water )$ (1) $6.7 cm$ (2) $13.4 cm$ (3) $8.8 cm$ (4) $11.7 cm$ 232. $The position of the image formed by the combination of lenses is :$ (1) $15 cm (right of second lens)$ (2) $30 cm (left of third lens)$ (3) $15 cm (left of second lens)$ (4) $30 cm (right of third lens)$ 233. $A bioconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describe best the image formed of an object of height 2 cm placed 30 cm from the lens ?(Refractive index of lens material = 1.5)$ (1) $Virtual, upright, height = 1 cm$ (2) $Virtual, upright, height = 0.5 cm$ (3) $Real, inverted, height = 4 cm$ (4) $Real, inverted, height = 1cm$ 234. $Two similar thin equi-convex lenses, of focal f each, are kept coaxially in contact with each other such that the focal length of the combination is . When the space between the two lens is filled with glycerin (which has the same refractive index (μ = 1.5) as that of glass) then the equivalent focal length is . The ratio : will be$ (1) $3 : 4$ (2) $2 : 1$ (3) $1 : 2$ (4) $2 : 3$ 235. $A light ray enters through a right angled prism at point P with the angle of incidence as shown in figure. It travels through the prism parallel to its base BC and emerges along the face AC. The refractive index of the prism is [NEET 2024]$ (1) $\frac{5}{4}$ (2) $\frac{5}{2}$ (3) $\frac{3}{4}$ (4) $\frac{3}{2}$ 236. $In figure, the optical fiber is long andhas a diameter of . If a ray of lightis incident on one end of the fiber at angle the number of reflections it makes beforemergingfrom the other end is close to:(refractive index of fiber is and$ (1) $55000$ (2) $66000$ (3) $45000$ (4) $57000$ 237. $Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is______cm.$ 238. $An observer can see through a small hole on the side of a jar (radius ) at a point at height of from the bottom (see figure). The hole is at a height of . When the jar is filled with a liquid up to a height of the same observer can see the edge at the bottom of the jar. If the refractiveindex of the liquid is where is an integer, the value of is$ 239. $In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and the image distance (y) are measured with reference to the focal point of the lens. The y - x plot is shown in figure. The focal length of the lens is_______cm .$ 240. $An object is placed on the principal axis of convex lens of focal length 10 cm as shown. A plane mirror is placed on the other side of lens at a distance of 20 cm. The image produced by the plane mirror is 5 cm inside the mirror. The distance of the object from the lens is____cm.$