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A, , Topic 2, , Refraction of Light at Plane Surfaces, 2014, 1,Atransparent thin film of uniform, , n1, , thicknessand refractive index, , n =1.4 is coated on, , the, , convex, , Air, , n2, , =, , through the film from air to glass get focused at distance fi, from the film, while rays of light traversing from glass to air, , get focused at distance f, from the film. Then,, (IT Advanced], , (6)1S|=2.8R, , (c)I2 1=2R, 2. A, , (d)IS l= 1.4R, , bottom of a transparent, point, placed, 6lock of height 10 mm and refractive index 2.72. It is, immersed in a lower refractive index liquid as shown in the, figure., It is found that the light emerging from the block to, the liquid forms a circular bright spot of diameter 11.54, mm on the top of the block. The refractive index of the, source, , S is, , apparent flattening of the, , sun, , at sunset, , due to, , spherical surface ofradius R at one, end of a long solid glass cylinder, of refractive index n2 1.5, as shown in the figure., Rays, of light parallel to the axis of the cylinder traversing, , (a)1f=3R, , 3. The, , at the, , liquid is, , [Kerala CEE, , (ay refraction, e, , (b) diffraction, total internal reflection (d) interference, , (e) polarisation, 4. A glass slab consists of thin uniform layers of, , progressively decreasing refractive indices RI (see figure), such that the RI of any layer is H mAu. Here, u and, Ay, -, , denote the RI of zeroth layer and the difference in R, between any two consecutive layers, respectively., Ine, , integer, , m = 0, 1, 2, 3,..., , denotes, , the, , A ray of light from the zeroth, , layer enters the first layera, of incidence of 30°. After undergoing the mn, refraction, the ray emerges parallel to the interface., an, , angle, , 1.5, , and Au = 0.015, the value of mis, H-mAu, , H-2, , Liquid, , u-A, , .'.., ., , (a) 1.21, , (b) 1.30, , (c) 1.36, , (d) 1.42, , numbers of the, , successive layers., , (IIT Advanced], , Block, , and sunrise is, , (a) 20, (c) 40, , (b) 30, , (ds0, , [WB JEB
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013, A, , slab (4, l.5) of, What is the shift in the, , glass, , =, , thickness 6 cm is placed over, , paper., Ha4 cmn, , letters?, , TOJEE, , b) 2 cm, , (c) 1 cm, , a, , The, , microscope, , is then raised, through, 3 cm. To what height water must be, added into the beaker, the, to bring, point again in focus?, (a) 15 cm, (c) 10 cm, , =, , (c=3x 10 ms, speed oflight in free space)., , (d) None of these, A microscope is tocused at a point at the bottom of a, beaker, , containing water., , a glass, 11. The time required for the light to pass through, is.., slab (refiractive index, 1.5) of thickness 4 mm, , LAMU, , (b) 12 cm, (d) 8 cm, , a, , (KCET, WB JEE], , 2x 10, s, , (b) 2x 10, , s, , c) 2x 10-s, (d)10-s, , 12. A prism having refractive index 1.414 and refracting angle, 30° has one of the refracting surfaces silvered. A beam of, its, light incident on the other refracting surface will retrace, KCET, , path, if the angle of incidence is, , 012, 7, A beaker is of height 21 cm. A liquid of refractive index 4/3, is powered to the height h, so that the, , apparent height, , becomes halved. The value of his, (a) 14 cm, (c) 14/3 cm, , [OJEE], , (b) 16 cm, (d) 18 cm, , vector, the, on the plane of, A=6v3 i +8/3j-10k is, 2 is [AIEEE], medium, separation. The angle of refraction in, , light in, , medium1, , given, incident, , (b) 60°, (d) 30°, , (a) 45, (c) 750, , 9.A beaker contains water, up to a, , height h2, , by, , above water,, , (water+kerosene) is, , so, , height h and kerosene of, that the total, , (h, +h2 ), , height, , Refractive index, , of, , of water, , [Guj CETI, , (a)sin, , (b) tan, , o sin, , (d) 90°, , 8. Let the x-z plane be the boundary between two transparent, medium 2 with z < 0 has a refractive index of V3. A ray of, , 2010, , 14. A large glassslab ofthickness 8cmis 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 froma circular, area,of radius R em. What is the value of R? IIT JEE], (b) 7 cm, (d) 9 cm, , (ay 6 cm, (c) 8 cm, , 15. A point object O is placed in front, , The apparent shift in the, and that of kerosene is H2., from, beaker when viewed, position of the bottom of the, [AIEEE, , ofa glass rod having spherical end, , above is, , 3 0 cm left, , 1S, , Sees the sky in, , coneof semi-vertical angle, , 2011, media. Medium l in z 20has a refractive index ofW2 and, , (d) 0°, , (b) 60, (a)45, 30, 13. Adiver at adepth of 12 min water =, , of radius of curvature 30 cm. The, image would be formed at, , Air, , Glass, , 15 cm, , 30 cm, , (b) infinity, , E) 1 em to the right, , [KCET, , (d) 18 cm to the left, , 16. A,B and C are the parallel sided transparent media of, , 6 1, , |1, , refractive indices n1, n2 and n3 respectively. They are, arranged as shown in the figure. A ray is incident at an, 2, , angle i on the surface of separation of A and B which is as, , shown in the figure. Aftef the refraction into the medium, B,, the ray grazes the surface of separation of the, media, , B and C. Then, sin i equal to, , waves, , in air and in, , (a)sin, , ) sin, , ()tan, , (d) tan, , T3, , are, a medium, , light, avelength of given, The critical, Årespectively., 0 0 A and 4000, , IKCET, , angle is, , KCET, , B, a, , (b), n3, , C, , ()2, n3, , (d)
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boat has green, , (17PA, mast., , light of wavelength, , A, , =, , 500 nm, , on, , the, , What wavelength would be measured and what, , colour would be observed for this light as seen by a diver, submerged in water by the side of the boat?, , a, material's slab at an angle, 24. A ray of light strikes, incidence 60°. If the reflected and refracted ravs, are, to each other, the retractive index of, , perpendicular, , he, , DCE, , materials is, , (c) 2, , KCET], , Given, n,, (a) Green of wavelength 376 nm, , 2008, , b) Red of wavelength 665 nm, , from Region I to Region Iy, light beam is travelling, index in Region I, I, II and, (refer figure). The refractive, IV are n " and, respectively. The angle of, , 25. A, , (c) Green of wavelength 500 nm, (d) Blue of wavelength 376 nm, , 2009, , 6, , 2, , incidence 0 for which the beam just misses entering Region, , 18. 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, , Region, , at the ball. At an instant, when the ball is 12.8 m above the, water surface, the fish sees the speed of ball as (IT JEE], , (c) 16 ms, , (a)6x 1010, , 26. The optical path of monochromatic light is same if it goes, , through 4.0 cm of glass of 4.5 cm of water. Ifthe refractive, index of glass is 1.53, the refractive index of the watex is, , (b)2sin5MHT CETI, [], , (d) 2sin, , 21. A ray of light is incident on a surface of glass slab at an, angle 45°. If the lateral shift produced per unit thickness is, , (a)tan, , [KCET], , (b)1an, (d) tan, , (c)sin, , BITSAT, (a) 1.30, , [u], , 1/3 m, the angle of refraction produced is, , (d)sin, , (c) sin, , 20. If angle of incidence is twice the angle of refraction in a, medium of refractive index u, then angle of incidence is, , (acos, , sin, , (a) sin, , [BVPI, , (6) 3.0x 1010, (d) 1.5x 100, , () 2x 100, , 0.6 m, , 0.2 m, , indiamond in cm/s is approximately, , 2, , 5-1, , 22. When a ray of light enters a glass slab from air [UP SEEI, , fa}its wavelength decreases, (b) its wavelength increases, (c) its frequency increases, , (d) neither its wavelength nor its frequency changes, , 8, , 6, , 2, , (d) 21.33 ms, , 19. The index of refraction of diamond is 2.0, velocity of light, , (c) 2 cos, , Region IRegionlllRegion V, , no, , (b) 12 ms, , (a)9 ms, , IIT JEE], , IV is, , 27., , (b) 1.36, , d) 1.46, , (c) 1.42, , Light travels with a speed of 2x 10° ms in crown glass, of refractive index 1.5. What isthe speed of light in dense, flint glass of refractive index 1.8?, , (a) 1.33x10*ms, (c) 2.0x10 ms, , [VITEEE, , (b) L67x 10, , 28. A point source of light is placed 4 m below the surface of, water of refractive index 5/3. The minimum diameter of a, , disc, which should be placed over the source, on the, surface of water to cut-off all light coming out of water is, , (a) infinite, , (c) 4 m, (d) 3 m, 29. A ray of light is incident at the, glass-water intertace, , angle, , i it, , emerges, then the value of, , finally parallel to, would be, , index 1.62. If the reflected ray and the refracted ray are, mutually perpendicular, the angle of incidence is, , (b)tan 1.62OP SEE], , (c) tan(1.33), , (d)tan L ), , Water, , Glass, (a) (4/3) sin i, (c) 4/3, , H st- (, , at, , a, , the surface of waters, , 23. Aray of light falls on a transparent glass slab of refractive, , atant.62), , ms, , (d) 3.0x10 ms, , /sin i, , [MP PET
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RayOptics, , 0., , A fish in water (refractive index n) looks at a bird, verticallý, above in the ar. If yis the height of the bird and x is the, depth of the fish from the surface, then the distance of the, bird as estmated by the fish is, , is incident, 38. A beam of light composed of red and green rays, slab., of a rectangular glass, obliqucly at a point on the face, the red and, When coming out on the opposite parallel face,, [AMU], , KCET], , ()x+ 1-, , rays emerge from, , green, , (a) two points propagating in, , ) x+ny, , hrections, , two point propagating, , 1. ray of light travelling from glass to air. (refractive index, of glass =1.5). The angle of incidence is 50°. The deviation, of the ray 1, , KCET, , (a) 0°, , 50, , Sin, (c), (50P-sin, L1.S, 50°-sin-, , (b) 80°, , 50, (d)sin 1Sin, 1.5-S0, , 32. A vessel of height 2d is half-filled with a liquid of, refractive index v2 and the other half with a liquid of, refractive index n (the given liquids are immiscible).-Then, the apparent depth of the inner surface of the bottom of the, vessel (neglecting the thickness ofthe bottom of the vessel), will be, , KCETI, n, , (a), (c), , n, , 2n, , 2, , d+ w2n, , d (n + v2), , 33. The wavelength of red light from He-Ne laser is 633 nm, in air but 474 nm in the aqueous humor inside the eye, , bail. Then, the speed of red light through the aqueous, [Kerala CEE], , humor is, , (a) 310 ms, , (b) 1.34x 10 ms, (d) 2.5x 10 ms, , -1, , (c2.25x 10 ms -1, , w.r.t., , and, , quartz, glass, 34. The refractive indices of, The refractive index, and 12/5, respectively., glass is, , air, , are, , of quartz, , 3/2, , w.r.t., , TWB JEEN, , (c) 5/18, , (b) 5/8, , (d) 18/5, , at a depth of h in water of, 5 , A point source of light is kept, radius of the circle at the surface, refractive index 4/3. The, [WB JEE], emits is, of water through which light, , (a)h, 6), 7, , (Refractive index of like, , (a)9 cm, , water, , (c) 3.8 cm, , (b) 12 cm, , T h e frequency of a light, 5000A., and wavelength is, , wave, , in, , a, , b) 1.50, , (d) 3 cm, , twinkling effect of star light is due to, , (c) 3.00, , [Guj CETT, , slightly, , the actual position of the star, , 40., , contains a small air, transparent cube of 2.1 m edge, viewed through one, when, distance, bubble. Its apparent, , A, , the, face of the cube is 0.10 m and when viewed from, bubble, the, of, distance, actual, The, m., is, 0.04, opposite face, from the second face of the cube is [Jamia Millia Islamial, , a, , (b) 0.17 m, , fish under water,, , (d) 0.04 m, (c) 0.05 m, viewing obliquely a fisherman, , standing on the bank of a lake, the man looks, wa) taller than what he actually is lJamia Millia Islamial, (b) shorter that what he actual is, (c) the same height as he actually is, () depends on the obliquity, , A wavelength, travelling in vacuun, enters a medium of refractive index 1.5, Thespeed of light, , 42.A light ray of 5895, , LKeralaCEE], , (a) 3x 10 ms, (b) 2x 10 ms, (c) 1.5x 10 ms, (d) 6x 10 ms, (e) 5x10' ms, 43. In a pond of water, a flame is held 2 m above the surface of, water. A fish is at depth of 4 m from water surface., Refractive index of water is 4/3. The apparent height of the, flame from the eyes of fish is, [WB JEE, , (a) 5.5 m, 8., , (b) 6 m, , m, , 2007, 44., , Why, , is refractive index in, than one?, , a, , transparent, , medium, , greater, , DCE], (a), Because the speed of light in vacuum is medium, , 10" Hz, of material, , ()Because the speed of light in vacuum is always, , [UP SEE], (d) 1.33, , (c) Frequency of wave changes when it crosses medium, (d) None of the above, , material is 2x, , The refractive index, , will be, (a) 1.40, , [WB JEE, , =4/3), , parallel, , a t o t a l internal reflection, b) high dense matter of star, star, (c) constant burning of hydrogen in the, the star being, of, Wthe fluctuating apparent position, star, the, from, of, being different fromn, different, , V3, , in water is viewed by an observer, 36. A fish at a depth of 12 cm, of the fish, To what height the image, on the bank of a lake., is raised?, , non-parallel, , in two different, , in the medium is, , (e) 2.75x 10 ms, , 8/5, , 39. The, , 41. To, , nd, , two different, , directions, different directions, (c) one point propagating in two, same direction, the, in, (d) one point propagating, , (a) 0.06 m, , d (n +V2), , 619, , greater than speed in a transparent medium
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V, , V, , 6o, , A, , 62U, , Chapterwise &Topicwise Engineering Entrânces Solved Papers, , 3, , 2006, 45. A, , light moves from denser to rarer medium. Which of the, , following is correct?, UP SEE], (a) Energy increases, (b) Frequency increases, (c) Phase changes by 90°, d, Velecity increases, 46. Maximum lateral, of a ray of light, displacement, incident on, a slab of, thickness t is, J&K CETTI, , (a), , (6), , 50. The wavelength ofa certain colour in air is 600 nm. Whatie, the wavelength and speed of this colour in glass of, refractive index 1.5?, , (at80, 0.625, , (d) 700 nm and 1.5x 10 ms, 51. A, , wave has velocity u in medium P and, velocity 2u in, mediumQ. If the wave is incident in medium P at an angle, , diamond,, , 30°, then the angle of refraction will be, , J&K CET, , (a) 30°, , b) 0.554, 0.625, (d) 0.554, 1.6, , (c) 1.12, 1.8, , b) 45°, , (c)60°, , (a) total internal reflection takes place, , 48Aray, , the angle of, , glass plate of thickness t. If, , 6)it, , contained in a circular horizon. If the refractive index of, and the fish is 12 cm below the surface, of water,, the radius of the circle in centimetre is, IPunjab CET], water is 4/3, , (d)r e (n+1)/n, , 49. A, , parallel beam of light is incident on a solid transparent, sphere of a material of refractive index n. Ifa point, image is, produced at the back of the sphere, the refractive index of, the material of sphere is, , (a), , 1-coSR, , 12x 3, , (b) 12x 3x V5, , ,S, , (c)2x3, , LAMU, , 2, , LJ&K CET, , 53. Afish, looking up through the water sees the outside world, , [AMU, , (b) t 0 (n-1)/n, , (c)rn/(n-1), , passes undeviated, , (d) it gets absorbed by the surface, , =, , (a) r n / (n + 1), , d) 90°, susface, then, , (c) it undergoes dispersion, , incidence is small, the emerging ray would be, , displaced side ways by an amount, (take, n refractive index of glass), , LJ&K CET, , 52. When a ray of light is incident normally on a, , 2005, of light on the surface ofa, , [AMU], , (a) 500 nm and 2x 10" cms, -1, b400 nm and 2x 10 ms, (c) 300 nm and 3x 10 cms -1, , 47. The, , respectively are nearly, , (b) 1.5, (d) 2.0, , (a) 2.5, (c) 1.25, , (c), , refractive index of water, glass and diamond are, 1.33,, 1.50, 2.40 respectively. The refractive index of, diamond, relative to water and of glass relative to, , x, , (d) 12x 3x V7, , t, , i:, , 1, , Topic 3, , Total Internal Reflection, , 2014, 1. A green light is incident from the water to the air-water, , interface at the critical angle (O) Select the correct, JEE Mains], , statement., , light will come of the, The entire spectrumf90°, of visible, to the normal., , BL, , water at an angle, , b) The spectrum of visible light whose frequency is less, , (a) 45°, , than that of green light will come out of the air, , (c) 15°, , medium., (c) The spectrum of visible light whose frequency is more, than that of green light will come out to the air, , medium., (d) The entire spectrum of visible light will come out of, , the water of various angles to the normal., , 2. In the figure, a ray of light is perpendicular to the face AB, , ofa, , Find, , glass prism (u 1.52)., the value of 4, so that the, face, at, AC, if the prism is immersed, ray is totally reflected, in water., , =, , [AMU, , >C, (b):30, (d) None of these, , 2012, 3. The, , refractive index of water is 4/3 and, that of glass is 5/5., What will be critical, for the ray of light, angle, water, entering, from the, , glass?, , [BITSATI, , (a)sin, , (b)sin, , (csin, , (d) sin
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Ray Optics, , |, , 621, , 2008, , 0, , of monochromatic ght is incident on the face, 4A rayOP, prism BCD near vertex B at an incident angle of, of, AP (see figure). If the refractive index of the material of the, rism is 3, which of the following is (are) correct?, , angle, , 135-, , a rarer, , to, , a, , are mutually perpendicular to each other. The critical angle, [KCET, for the pair of media is, , [IIT JEE1, , BD, , o, , denser medium. 1he, ofincidence isi. Then the reflected and refracted rays, , 9. A ray of light enters from, , (a) sin 7, (tan i), , (b) tan, , si, , (d)cos' (tan i), , (cot i), , (sin i), , 2007, 10. A ray of light travelling in water is incident on its surface, less than, open to air. The angle of incidence is 0, which is, , 90, , [IIT JEE], , the critical angle. Then there will be, , Ja The ray gets totally internally reflected at face CD, cb Theray comes out through face AD, , c) The angle between the incident ray and the emergent, , ray is 90°, (d) The angle between the incident ray and the emergent, , (a) only a reflected ray and no refracted ray, b) only a reflected ray and no reflected ray, c) a reflected ray and a refracted ray and the angle, between then would be less than 180° -20, , (d) a reflected ray and a refracted ray and the angle, between then would be greater than 180°- 26, , ray is 120°, , 5. Transmission of light to large distances through optical, fibres is based on, , [MP PET, , 11. The refractive index of water and glycerine are 1.33 and, , 1.47 respectively. What is the critical angle for a light ray, J&K CET, , going from the latter to the former?, , (b) refraction, reflection, internal, (d) interference, (c)total, , (a) dispersion, , 009, , (a) 60°48, , (b) 64 48', , (c) 74 48', , (d) None of these, , 12. The critical angle of the medium with respect tox cuum is, , 30°. Ifthe velocity oflight in vacuum is 3x 10" ms, the, , 6. A transparent solid.cylindrical, , rod has a refractive index of * t, , 2/3. It is surrounded by air., , Alight ray is incident at the mid-point of one end ofthe rod, as shown in the figure., , The incident angle 0 for which the light ray grazes along, LAIEEE], , the wall of the rod is, , 13. The instrument used by doctors for endoscopy works on, the principle of, [BCECE], (a) total internal reflection, , b) reflection, (c) refraction, (d) None of the above, , dsin, , sin, , 2006, , 7. Critical angle of light passing from glass of water is, , [UP SEE, , minimum for, (b) green colour, (d) yiolet colour, , (a) red colour, (c)yellow colour, , no.andrespectively. The, 2, , angle of, , incidence 0, , for which the beam just misses entering region Il i_, , TAMU, Region I, , Region Il, , (b) 89.7o, , (c) 86.7, , b) 45, , 15. Assertion (A) Propagation of light through an optical, fibre is due to total internal reflection taking place at the, core-clad interface., , Reason (R) Refractive index of the material of the core, of the optical fibre is greater than that of air. EAMCETI, is the correct, , explanation of A, 8) Both A and R are correct but R is not the correct, explanation of A, , 2, (c) 60, , (d) 10.3, , 2005, , (a) Both A and R are correct and R, , no/N2, (a) 30, , 14. If sound travelling at 340 ms, enters water where its, critical angle for total, then, speed becomes 1480 ms,, [WB JEE], internal reflection is, (a) 13.30, , 8. A beam of light is travelling from region I to region I, (see the figure). The refractive index in region I, I and II, , Region, , J&K CETI, , 1.5x103 msT, , (d) V2x108 ms1, , (c) 3x10 ms, , (b)sin13, , (a) sin, , are, , velocity oflight in medium is, ), (a)2x10 ms, , (d)sin(V2), , (c) A is correct but R is incorrect, (d) A is incorrect but R is correct