Ray Optics PYQs Set 13 (PDF)

Set 13 of 18 · Questions 361-390 of 521

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Mere Teacher · Previous Year Questions JEE Main Physics · Ray Optics · Set 13 (Q361-390)
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361. $An object is placed infront of a spherical concave mirror between the focal point and the radius of curvature. Its image is$ (1) $inverted, real, further than radius of curvature from mirror$ (2) $inverted, virtual, closer than focal point to mirror$ (3) $upright, real, further than radius of curvature from mirror$ (4) $inverted, real, closer than radius of curvature to mirror$ 362. $A fish in water (refractive index ) looks at a bird vertically above in the air. If is the height of the bird and is the depth of the fish from the surface, then the distance of the bird as estimated by the fish is$ (1) $x + y (1 + \frac{1}{n})$ (2) $y + x (1 - \frac{1}{n})$ (3) $x + y (1 - \frac{1}{n})$ (4) $x + ny$ 363. $To a fish under water, viewing obliquely a fisherman standing on the bank of a lake, the man looks$ (1) $taller than what he actually is$ (2) $shorter than what he actually is$ (3) $the same height as he actually is$ (4) $depends on the obliquity.$ 364. $A person has been using spectacles of power-1.0 diopter for distant vision and a separate reading glass of power 2.0 diopters. What is the least distance of distinct vision for this person:$ (1) $10 cm$ (2) $40 cm$ (3) $30 cm$ (4) $50 cm$ 365. $Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of , formed by each refracting surface is:$ (1) $0.214 R$ (2) $0.411 R$ (3) $0.124 R$ (4) $0.114 R$ 366. $Parallel rays of light are falling on convex spherical surface of radius of curvature R = 20 cm as shown. Refractive index of the medium is μ = 1.5. After refraction from the spherical surface parallel rays -$ (1) $Actually meet at some point$ (2) $Appears to meet after extending the refracted rays backwards$ (3) $Meet (or appears to meet) at a distance of 30 cm from the spherical surface$ (4) $Meet (or appears to meet) at a distance of 60 cm from the spherical surface$ 367. $A convex lens is put from a light source and it makes a sharp image on a screen, kept from the lens. Now a glass block (refractive index ) of thickness is placed in contact with the light source. To get the sharp image again, the screem is shifted by a distance . Then is:$ (1) $1.1 cm away from the lens$ (2) $0$ (3) $0.55 cm towards the lens$ (4) $0.55 cm away from the lens$ 368. $Two point sources S_{1} and S_{2} are 24 cm apart. Where should a convex lens of focal length 9 cm be placed in between them, so that the images of both sources are formed at the same place?$ (1) $8 cm$ (2) $6 cm$ (3) $12 cm$ (4) $10 cm$ 369. $A car is fitted with a convex side-view mirror of focal length 20 cm. A second car 2.8 m behind the first car is overtaking the first car at a relative speed of 15 m/s. The speed of the image of the second car as seen in the mirror of the first one is :$ (1) $\frac{1}{10} m/s$ (2) $\frac{1}{15} m/s$ (3) $10 m/s$ (4) $15 m/s$ 370. $A ray of light is incident at an angle of incidence , on one face ofa prism ofangle (assumed to be small) and emerges normally from the opposite face. If the refractive index of the prism is , the angle of incidence , is nearly equal to$ (1) $μ A$ (2) $\frac{μ A}{2}$ (3) $\frac{A}{μ}$ (4) $\frac{A}{2 μ}$ 371. $The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors a, b and c respectively. Then choose the correct relation for these vectors.$ (1) $b = 2 a + c$ (2) $b = a - c$ (3) $b = a + 2 c$ (4) $b = a - 2 (a \cdot c) c$ 372. $A biconvex lens is formed by using two thin planoconvex lenses, as shown in the figure. The refractive index and radius of curved surfaces are also mentioned in figure. When an object is placed on the left side of lens at a distance of 30 cm from the biconvex lens, the magnification of the image will be :$ (1) $-2$ (2) $+2.5$ (3) $-2.5$ (4) $+2$ 373. $If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm, the focal length of the mirror must be :$ (1) $15 cm$ (2) $- 12 cm$ (3) $- 10 cm$ (4) $10/3 cm$ 374. $A monochromatic light wave with wavelength and frequency in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then the wavelength and frequency of the refracted wave are:$ (1) $λ_{2} = 2 λ_{1}, v_{2} = v_{1}$ (2) $λ_{2} = λ_{1}, v_{2} = \frac{1}{2} v_{1}$ (3) $λ_{2} = λ_{1}, v_{2} = 2 v_{1}$ (4) $λ_{2} = \frac{1}{2} λ_{1}, v_{2} = v_{1}$ 375. $Two immiscible liquids of refractive index and are filled with equal height in a vessel. Then apparent depth of bottom surface of the container given that outside medium is air:$ (1) $\frac{3 2 h}{4}$ (2) $\frac{3 h}{4}$ (3) $\frac{3 h}{2}$ (4) $\frac{3 h}{4 2}$ 376. $The following figure shows a beam of light converging at point P . When a concave lens of focal length 16 cm is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance x from the lens. The value of x will be equal to$ (1) $36 cm$ (2) $48 cm$ (3) $12 cm$ (4) $24 cm$ 377. $Unpolarised light is incident from air on a plane surface of a material of refractive index . At a particular angle ofincidence i, it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation7.$ (1) $Reflected light is polarised with its electric vector parallel to the plane of incidence$ (2) $Reflected light is polarised with its electric vector perpendicular to the plane of incidence$ (3) $i = sin^{- 1} (\frac{1}{μ})$ (4) $i = tan^{- 1} (\frac{1}{μ})$ 378. $A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite parallel face, the red and green ray emerge from$ (1) $Two points propagating in two different non parallel directions$ (2) $Two points propagating in two different parallel directions.$ (3) $One point propagating in two different directions.$ (4) $One point propagating in the same directions.$ 379. $A ray of light is incident on a plane mirror at an angle of 60^{\circ} . The angle of deviation produced by the mirror is$ (1) $120^{\circ}$ (2) $30^{\circ}$ (3) $60^{\circ}$ (4) $90^{\circ}$ 380. $A beam of light consisting of red, green and blue colours is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are and 1.47, respectively.The prism will$ (1) $separate the blue colour part from the red and green colours$ (2) $separate all the three colours from one another$ (3) $not separate the three colours at all$ (4) $separate the red colour part from the green and blue colours$ 381. $In an experiment for determination of refractive index of glass of a prism by i – δ, plot, it was found that a ray incident at angle 35º, suffers a deviation of 40º and that it emerges at angle 79º. In that case which of the following is closest to the maximum possible value of the refractive index ?$ (1) $1.6$ (2) $1.7$ (3) $1.8$ (4) $1.5$ 382. $A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale)$ (1) $Inverted, real and unmagnified$ (2) $Inverted, real and magnified$ (3) $Erect, virtual and magnified$ (4) $Erect, virtual and unmagnified$ 383. $An equi-convex lens has power P it is cut into two symmetrical halves by a plane containing the principal axis. The power of one part will be [NEET 2019]$ (1) $0$ (2) $\frac{P}{2}$ (3) $\frac{P}{4}$ (4) $P$ 384. $A convex lens made of glass has focal length in air. If the refractive index of glass is and that of water is , the focal length of lens when immersed in water is$ (1) $0.45 m$ (2) $0.15 m$ (3) $0.30 m$ (4) $0.6 m$ 385. $A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 \times 1 0^{9} m and its mean distance from the earth is 1.5 \times 1 0^{11} m . What is the diameter of the sun’s image on the paper?.$ (1) $6.5 \times 1 0^{- 5} m$ (2) $12.4 \times 1 0^{- 4} m$ (3) $9.2 \times 1 0^{- 4} m$ (4) $6.5 \times 1 0^{- 4} m$ 386. $What is the position and nature of image formed by lens combination shown in figure ? (f_{1}, f_{2} are focal lengths)$ (1) $70 cm from point B at left ; virtual$ (2) $70 cm from point B at right ; real$ (3) $40 cm from point B at right; real$ (4) $\frac{20}{3} cm from point B at right, real$ 387. $An object V is placed at a distance of 100 cm in front of a concave mirror of radius of curvature 200 cm as shown in the figure. The object starts moving towards the mirror at a speed 2 cm/s. The position of the image from the mirror after 10s will be at.......cm.$ 388. $In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40 cm from the pole of the mirror is formed at distance 120 cm from the pole of the mirror. These distances are measured with a modified scale in which there are 20 small divisions in 1 cm. The value of error in measurement of focal length of the mirror is 1/K cm. The value of K is______.$ 389. $A point object O is placed in front of two thin symmetrical coaxial convex lenses L_{1} and L_{2} with focal length 24 cm and 9 cm respectively. The distance between two lenses is 10 cm and the object is placed 6 cm away from lens li as shown in the figure. The distance between the object and the image formed by the system of two lenses is_____________cm$ 390. $A light ray is incident on a glass slab of thickness and refractive index . The angle of incidence is equal to the critical angle for the glass slab with air. The lateral displacement of ray after passing through glass slab is____cm. (Given )$