Ray Optics PYQs Set 12 (PDF)

Set 12 of 16 · Questions 331-360 of 467

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Mere Teacher · Previous Year Questions NEET Physics · Ray Optics · Set 12 (Q331-360)
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331. $A monochromatic light wave with wavelength and frequency in air enters another medium. If the angle of incidence and angle of refraction at the interface are 45° and 30° respectively, then the wavelength and frequency of the refracted wave are:$ (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) $λ_{2} = \frac{1}{2} λ_{1}, v_{2} = v_{1}$ 332. $Two immiscible liquids of refractive index and are filled with equal height in a vessel. Then apparent depth of bottom surface of the container given that outside medium is air:$ (1) $\frac{3 2 h}{4}$ (2) $\frac{3 h}{4}$ (3) $\frac{3 h}{2}$ (4) $\frac{3 h}{4 2}$ 333. $The following figure shows a beam of light converging at point P . When a concave lens of focal length 16 cm is introduced in the path of the beam at a place shown by dotted line such that OP becomes the axis of the lens, the beam converges at a distance x from the lens. The value of x will be equal to$ (1) $36 cm$ (2) $48 cm$ (3) $12 cm$ (4) $24 cm$ 334. $Unpolarised light is incident from air on a plane surface of a material of refractive index . At a particular angle ofincidence i, it is found that the reflected and refracted rays are perpendicular to each other. Which of the following options is correct for this situation7.$ (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) $i = tan^{- 1} (\frac{1}{μ})$ 335. $A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite parallel face, the red and green ray emerge from$ (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) $One point propagating in the same directions.$ 336. $A ray of light is incident on a plane mirror at an angle of 60^{\circ} . The angle of deviation produced by the mirror is$ (1) $120^{\circ}$ (2) $30^{\circ}$ (3) $60^{\circ}$ (4) $90^{\circ}$ 337. $A beam of light consisting of red, green and blue colours is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are and 1.47, respectively.The prism will$ (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) $separate the red colour part from the green and blue colours$ 338. $In an experiment for determination of refractive index of glass of a prism by i – δ, plot, it was found that a ray incident at angle 35º, suffers a deviation of 40º and that it emerges at angle 79º. In that case which of the following is closest to the maximum possible value of the refractive index ?$ (1) $1.6$ (2) $1.7$ (3) $1.8$ (4) $1.5$ 339. $A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front of the mirror, what will be the nature and magnification of the image of the object? (Figure drawn as schematic and not to scale)$ (1) $Inverted, real and unmagnified$ (2) $Inverted, real and magnified$ (3) $Erect, virtual and magnified$ (4) $Erect, virtual and unmagnified$ 340. $An equi-convex lens has power P it is cut into two symmetrical halves by a plane containing the principal axis. The power of one part will be [NEET 2019]$ (1) $0$ (2) $\frac{P}{2}$ (3) $\frac{P}{4}$ (4) $P$ 341. $A convex lens made of glass has focal length in air. If the refractive index of glass is and that of water is , the focal length of lens when immersed in water is$ (1) $0.45 m$ (2) $0.15 m$ (3) $0.30 m$ (4) $0.6 m$ 342. $A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 \times 1 0^{9} m and its mean distance from the earth is 1.5 \times 1 0^{11} m . What is the diameter of the sun’s image on the paper?.$ (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) $6.5 \times 1 0^{- 4} m$ 343. $What is the position and nature of image formed by lens combination shown in figure ? (f_{1}, f_{2} are focal lengths)$ (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) $\frac{20}{3} cm from point B at right, real$ 344. $An object is placed at a distance of 40 cm from a concave mirror of focal length 15 cm . If the object is displaced through a distance of 20 cm towards the mirror, the displacement of the image will be [NEET 2018]$ (1) $30 cm towards the mirror$ (2) $36 cm away from the mirror$ (3) $30 cm away from the mirror$ (4) $36 cm towards the mirror$ 345. $Formation of real image using a biconvex lens is shown below: If the whole set up is immersed in water without disturbing the object and the screen positions, what will one observe on the screen ?$ (1) $Image disappears$ (2) $Magnified image$ (3) $Erect real image$ (4) $No change$ 346. $A point object is moving uniformly towards the pole of a concave mirror of focal length 25 cm along its axis as shown below. The speed of the object is 1 m s^{- 1} . At t = 0, the distance of the object from the mirror is 50 cm . The average velocity of the image formed by the mirror between time t = 0 and t = 0.25 s is$ (1) $Zero$ (2) $40 cm s^{- 1}$ (3) $Infinity$ (4) $20 cm s^{- 1}$ 347. $What is the position and nature of image formed by lens combination shown in figure? f_{1}, f_{2} are focal lengths)$ (1) $70 cm from point B at left; virtual$ (2) $40 cm from point B at right; real$ (3) $\frac{20}{3} from point B at right, real$ (4) $70 cm from point B at right; real$ 348. $Two plane mirrors are inclined at 7 0^{o} . A ray incident on one mirror at angle, θ after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of θ is$ (1) $4 5^{o}$ (2) $3 0^{o}$ (3) $5 5^{o}$ (4) $5 0^{o}$ 349. $Find the distance of the image from object O, formed by the combination of lenses in the figure :$ (1) $75cm$ (2) $10cm$ (3) $20cm$ (4) $infinity$ 350. $A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal lengthhas absolute value \| f \| = 40 cm . The image of object produced by the mirror is of height 25 cm and has thesame orientation of the object. One may conclude from the information:$ (1) $Image is real, same side of concave mirror.$ (2) $Image is virtual, opposite side of convex mirror.$ (3) $Image is virtual, opposite side of concave mirror.$ (4) $Image is real, same side of convex mirror.$ 351. $When one light ray is reflected from a plane mirror with 30° angle of reflection, the angle of deviation of the ray after reflection is:$ (1) $120°$ (2) $110°$ (3) $140°$ (4) $130°$ 352. $The following figure represents two biconvex lenses L_{1} and L_{2} having focal length 10 cm and 15 cm respectively. The distance between L_{1} & L_{2} is :$ (1) $10 cm$ (2) $35 cm$ (3) $25 cm$ (4) $15 cm$ 353. $For a given lens, the magnification was found to be twice as large as when the object was 0.15 m distant from it as when the distance was 0.2 m . The focal length of the lens is$ (1) $0.15 m$ (2) $0.20 m$ (3) $0.10 m$ (4) $0, 05 m$ 354. $The angles of incidence and emergence of a light ray passing through a prism of angle A are i and e respectively. The total deviation produced by the prism is$ (1) $i + e + A$ (2) $i + e - A$ (3) $i + e - 2 A$ (4) $i + e + 2 A$ 355. $A point source of light S is placed at a distance L in front of the centre of plane mirror of width d which is hanging vertically on a wall. A man walks in front of the mirror along a line parallel to the mirror,, at a distance 2L as shown below. The distance over which the man can see the image of the light source in the mirror is :$ (1) $d$ (2) $3d$ (3) $\frac{d}{2}$ (4) $2d$ 356. $A transparent cube of side made of a material of refractive index is immersed in a liquid of refractive index A ray is incident on the face at an angle (shown in the figure). Total internal reflection takes place at point on the face Then must satisfy:$ (1) $θ < sin^{- 1} \frac{μ _{1}}{μ _{2}}$ (2) $θ > sin^{- 1} \frac{μ _{2}^{2}}{μ _{1}^{2}} - 1$ (3) $θ < sin^{- 1} \frac{μ _{2}^{2}}{μ _{1}^{2}} - 1$ (4) $θ > sin^{- 1} \frac{μ _{1}}{μ _{2}}$ 357. $A prism of angle and refractive index 3 is coated with thin film of refractive index 1.5 only at the back exit surface. To have total internal reflection at the back exit surface the incident angle must be ____ and$ (1) $15^{\circ}$ (2) $> 25^{\circ}$ (3) $between 15^{\circ} and 20^{\circ}$ (4) $Both (a) & (c)$ 358. $The lower half of vessel of depth is filled with a liquid of refractive index and the upper half with a liquid of refractive index . The apparent depth of the vessel seen perpendicularly is$ (1) $d (\frac{μ _{1} μ _{2}}{μ _{1} + μ _{2}})$ (2) $d (\frac{1}{μ _{1}} + \frac{1}{μ _{2}})$ (3) $2 d (\frac{1}{μ _{1}} + \frac{1}{μ _{2}})$ (4) $2 d (\frac{1}{μ _{1} μ _{2}})$ 359. $Given is a thin convex lens of glass (refractive index ) and each side having radius ofcurvature . One side is polished for complete reflection. At what distance from the lens, an object be placed on the optic axis so that the image gets formed on the object itself?$ (1) $R / μ$ (2) $R / (2 μ - 3)$ (3) $μR$ (4) $R / (2 μ - 1)$ 360. $Time taken by light to travel in two different materials A and B of refractive indices and of same thickness is and respectively. If s and the ratio of to is 1 : 2. Then the thickness of material, in meter is : (Given and are velocities of light in A and B materials respectively).$ (1) $5x 1 0^{- 10} v_{a} m$ (2) $5 x 1 0^{- 10} m$ (3) $1.5 x 1 0^{- 10} m$ (4) $5 x 1 0^{- 10} v_{b} m$