CHAPTER 23 Wave-Optics (Interference, Diffraction
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1. Huygens’ concepts of secondary waves *
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2. The concept of secondary wavelets from all points on a wavefront was first proposed by *
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3. The wavefront is a surface in which *
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4. Two light sources are coherent when *
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5. Newton has postulated his corpuscular theory on the basis of *
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6. Which of the following pairs denote coherent sources? *
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7. Two waves are said to be coherent if they have *
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8. Two light waves are coherent if they are obtained from a single monochromatic source by *
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9. In the phenomenon of interference, the energy *
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10. The necessary condition for an interference by two sources of light is that *
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11. Two independent monochromatic sources are said to be incoherent, because the detector of light intensity requires time to detect intensity at a given position, that is *
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12. Two coherent monochromatic light beams of intensities I and 4I are superposed; the maximum and minimum possible intensities in the resulting beam are *
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13. If two waves, each of intensity I o , having the same frequency but differing by a constant phase angle of 60º, superpose at a certain point in space, then the intensity of resultant wave is *
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14. The light waves from two independent monochromatic light sources are given by y1 = 2 sin wt and y2 = 3 cos wt, then the correct statement is *
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15. Two monochromatic waves each of intensity I have a constant phase difference of f. If these waves superpose, then the intensity of the resultant wave is *
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16. If the two waves represented by y1 = 4 sin wt and y2 = 3 sin (wt + p/3) interfere at a point, the amplitude of the resulting wave will be about *
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17. Four light sources produce the following four waves (i) y1 = a sin (wt + f1 ) (ii) y2 = a sin 2wt (iii) y3 = a′ sin (wt + f2 ) (iv) y4 = a′ sin (3wt + f) Superposition of which two waves give rise to interference?  *
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18. For distructive interference the phase difference between the interfering waves should be *
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19. The distinguishable characteristic of a monochromatic light wave irrespective of medium is *
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20. Select the right option in the following *
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21. The wave front of a distant source of unknown shape is approximately *
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22. In the Young’s double slit experiment, if monochromatic light used is replaced by white light, then *
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 23. In Young’s double slit experiment, if width (aperture) of the slit S is increased keeping other parameters constant, then the interference fringes w *
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 24. The contrast in the fringes in any interference pattern depends on *
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 25. In Young’s double slit experiment the separation between the slits is halved and the distance between the slits and screen is doubled. The fringe width is *
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 26. In a Young’s double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in water of refractive index (4/3), without disturbing the geometrical arrangement, the new fringe width will be *
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27. Interference fringes of light are observed in an interference chamber containing pure water (m = 4/3). Now, if the water is drained out first and then the chamber is evacuated, then *
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28. Interference was observed in an interference chamber, when air was present. Now, the chamber is evacuated and if the same light is used, a careful observation will show *
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29. Interference of light waves from two coherent sources is possible for *
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30. In a two slit experiment with white light, a white fringe is observed on a screen kept behind the slits. When the screen is moved away by 0.05 m, this white fringe *
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31. For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the intensity of light emerging out of the two slits should be *
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32. The angular fringe width of fringes formed with sodium light of wavelength 5890 Å is 0.20º. If the whole arrangement is immersed in water, then the angular width of the fringes will become *
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33. The double slit experiment of Young has been shown in the figure. Q is the position of the first bright fringe on the right side and P is the 11th fringe on the other side as measured from Q. If wavelength of light used is 6000 Å, S1 B will be equal to *
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34. Yellow light emitted by sodium lamp in Young’s double slit experiment is replaced by monochromatic blue light of the same intensity *
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35. In a Young’s double slit experimental arrangement shown here, if a mica sheet of thickness t and refractive index m is placed in front of the slit S1 , then the path difference (S1 P – S2 P) *
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36. In Young’s experiment monochromatic light is used to illuminate the two slits A and B. Interference fringes are observed on a screen placed in front of the slits. Now, if a thin glass plate is placed normally in the path of the beam coming from the slit A, then *
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37. The interference fringes pattern, in Young’s double slit experiment, will not be observed if *
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38. If a thin mica sheet of thickness t and refractive index m is placed in the path of one of the waves producing interference, then the whole interference pattern shifts towards the side of the sheet by a distance *
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39. In Young’s double slit experiment, white light source is used to obtain a white central fringe and a few coloured fringes. Now if a filter allowing only red light is used in front of slit S1 and another filter allowing only blue light is used in front of second slit S2 , then *
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40. In the Young’s double slit experiment, separation between the two slits is 0.9 mm and the fringes are observed one metre away. if it produces the second dark fringe at a distance of 1 mm from the central fringe, then wavelength of the monochromatic source of light used is *
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41. In the Young’s double slit experiment, initially equal intensities were coming out of the two slits S1 and S2 . Now if infront of one slit, a glass sheet which absorbs half of the intensity is placed, then *
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42. The fringe width in Young’s double slit experiment increases when *
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43. If in an interference pattern, Imax. represents the intensity maximum value and I min. represents the intensity minimum value, then the fringe visibility is defined a *
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44. What happens to the fringe pattern, when the Young’s double slit experiment is performed in water instead of air *
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45. In Young’s double slit experiment, illuminated by yellow light, one slit is covered with plane transparent thin glass plate and the other slit by blue filter. Then *
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46. If one of the two slits of a Young’s double slit experiment is painted over so that it transmits half the light intensity of the other, then *
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47. In the Young’s double slit experiment, the two equally bright slits are coherent, but of phase difference p/3. If the maximum intensity on the screen is Io , the intensity at the point on the screen equidistant from the slits is *
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48. In Young’s double slit experiment if two slightly different wavelengths are present in the light used then *
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49. White light may be considered to be a mixture of waves with l ranging between 3000 Å and 7800 Å. Anoil film of thickness 10000 Å is examined normally by the reflected light. If m = 1.4, then the film appears bright for *
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50. A source emits electromagnetic waves of wavelength 3 m. One beam reaches the observer directly and other after reflection from a water surface, travelling 1.5 m extra distance and with intensity reduced to (1/4) as compared to intensity due to direct beam alone. The resultant intensity will be *
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51. Huygens’ wave theory allows us to know *
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52. In Young’s double slit experiment, the source S and two slits A and B are horizontal with slit A above slit B. The fringes are observed on a vertical screen K. The optical path length from S to B is increased very slightly (by introducing a transparent material of higher refractive index) and optical path length from S to A is not changed. As a result the fringe system on K moves *
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53. Sir C.V. Raman received Nobel prize for which of the following phenomenon? *
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54. In Young’s double slit experiment the wavelength of light was changed from 7000 Å to 3500 Å. While doubling the separation between the slits which of the following is not true for this experiment? *
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55. A thin mica sheet of thickness 2 × 10–6 m and refractive index m = 1.5 is introduced in the path of one of the waves. The wavelength of the wave used is 5000 Å. The central bright maximum will shift *
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56. The maximum intensity in Young’s double slit experiment is Io . Distance between the slits is d = 5l, where l is the wavelength of monochromatic light used in the experiment. What will be the intensity of light in front of one of the slits on a screen at a distance D = 10d? *
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57. If two coherent sources are placed at a distance 3l from each other symmetric to the centre of the circle shown in the figure, then number of fringes shown on the screen placed along the circumference is *
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58. Two waves, whose intensities are 9: 16 are made to interfere. The ratio of maximum and minimum intensities in the interference pattern is *
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59. Two identical coherent sources are placed on a diameter of a circle of radius R at separation x (<< R ) symmetrically about the centre of the circle. The sources emit identical wavelength l each. The number of points on the circle with maximum intensity is (x = 5l *
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60. Microwaves from a transmitter are directed normally towards a plane reflector. A detector moves along the normal to the reflector. Between positions of 14 successive maxima the detector travels a distance of 0.14 m. The frequency of transmitter is (c = 3 × 108 m/s) *
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61. In Young’s double slit experiment, the type of diffraction is *
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62. The phase difference between two wave trains giving rise to a dark fringe in Young’s double slit interference experiment in (n integer) *
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63. In Young’s double slit interference pattern the fringe width *
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64. When petrol drops from a vehicle fall over rain water on the road, colours are seen because of *
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65. What is the minimum thickness of a soap bubble needed for constructive interference in reflected light if the light incident on the film is 900 nm? Assume the refractive index for the film is m = 1.5 *
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66. A Young’s double slit experiment uses a monochromatic source. The shape of the interference fringes formed on the screen is a *
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67. In Young’s double slit experiment, a third slit is made in between the double slits, Then *
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68. If white light is used in a biprism experiment then *
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69. In a biprism experiment, if the biprism is moved towards the light source a little, then the fringe width will *
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70. In a Fresnel biprism experiment, the two positions of lens give separation between the slits as 16 cm and 9 cm respectively. What is the actual distance of separation? *
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71. The phenomenon of diffraction can be exhibited by *
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72. The main difference in the phenomenon of interference and diffraction is that *
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73. The phenomenon of diffraction can be exhibited by *
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74. Diffraction effects are easily observable for *
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75. In Fresnel’s class of diffraction, the *
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76. A diffraction pattern is obtained using a beam of red light. What happens if the red light is replaced by blue light? *
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77. nth bright fringe if red light (l1 = 7500 Å) coincides with (n + 1)th bright fringe of green light (l2 = 6000 Å.) The value of n =? *
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78. A parallel beam of fast moving electrons is incident normally on a narrow slit. A screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statement is correct? *
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79. A slit of width a is illuminated with a monochromatic light of wavelength l from a distant source and the diffraction pattern is observed on a screen placed at a distance D from the slit. To increase the width of the central maximum one should *
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80. Polarisation of light proves the *
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81. The fact that light is transverse wave phenomenon derives its evidential support from the observation that *
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82. If light is polarised by reflection, then the angle between reflected and refracted light is *
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83. One of the devices to produce plane polarised light is *
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84. A ray of unpolarised light is incident on a glass plate at the polarising angle 57º. Then *
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 85. Polaroid glass is used in sun glasses because *
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86. Waves that cannot be polarised are *
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87. The phenomenon of rotation of plane polarised light is called *
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88. An optically active compound *
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89. In case of linearly polarised light, the magnitude of the electric field vector *
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90. A Nicol prism is based on the principle of *
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91. What does not change on polarization of light? *
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92. A calcite crystal is placed over a dot on a piece of paper and rotated; On seeing through the calcite, one will see *
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93. A polaroid is placed at 45º to an incoming light of intensity Io . Now the intensity of light passing through the polaroid after polarisation would b *
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94. Which of the following cannot be explained on the basis of wave nature of light? i) Polarization (ii) Optical activity (iii) Photoelectric effect (iv) Compton effect *
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95. What happens inside optical fibre? *
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96. The phenomenon of polarisation of electromagnetic waves proves that the electromagnetic waves are *
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97. Which of the following as a dichroic crystal? *
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98. When the light is incident at the polarizing angle on the transparent medium, then the completely polarized light is *
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99. The dispersive powers of the materials of the two lenses are in the ratio 3 : 4. If the achromatic combination of these two lenses is of focal length 60 cm, then the focal lengths of the component lenses ar *
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100. The angle of incidence of light is equal to Brewster’s angle, then (1) reflected ray is perpendicular to refracted ray (2) reflected ray is parallel to refracted ray (3) reflected light is polarized having its electric vector in the plane of incidence (4) refracted light is polarized *
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1. The fact that light is a transverse wave in nature derives its evidence by the support from the observation that *
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2. Light from a denser medium I goes to a rarer medium II. When angle of incidence is q, the reflected and refracted rays are perpendicular to each other? *
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8. What causes change in the colours of the soap or oil films for the given beam of light? *
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9. Refractive index of a material is equal to tangent of polarising angle. It is called *
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10. Sir C.V. Raman was awarded Nobel prize for his work concerned with which of the following phenomena of radiation? *
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11. Which one of the following statements is true? *
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12. The frequency of a light wave in a material is 2 × 1014 Hz and wavelength is 5000 Å. The refractive index of material will be *
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1. Consider a light beam incident from air to a glass slab at Brewster’s angle as shown in below figure. A polaroid is placed in the path of the emergent ray at point P and rotated about an axis passing through the centre and perpendicular to the plane of the polaroid. *
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2. Consider sunlight incident on a slit of width 104 A. The image seen through the slit shall *
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4. In a Young’s double slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case *
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5. Figure below shows a standard two slit arrangement with slits S1 , S2 , P1 , P2 are the two minima points on either side of P. At P2 on the screen, there is a hole and behind P2 is a second 2- slit arrangement with slits S3 , S4 and a second screen behind them. *
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1. At what angle of incidence will the light reflected from glass (m = 1.5) be completely polarized *
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2. When light rays enter in a glass slab, their wavelength *
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3. A beam of light in air enters into the water. Which of the following characteristics of light will not change? *
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4. In an elliptically polarised light, the amplitude of the vibrations *
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5. In Young’s experiment, the monochromatic light is used to illuminate two slits A and B as shown. Interference fringes are observed on a screen placed in front of the slits. Now if a thin glass plate is placed normally in the path of beam coming from the slit A, then *
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6. Relation between critical angle of water and the glass is *
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7. Interference occurs in which of the following waves? *
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8. When a of light enters a glass slab, then *
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9. Ratio of intensities of two waves is 9: 1. If these two are superimposed, what is the ratio of maximum and minimum intensities? *
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10. A light of intensity I o passes through a material of thickness d. The resultant intensity *
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11. A light wave moves from air to glass with frequency n and wavelength l. Then *
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12. Two coherent monochromatic light beams of amplitude 3 and 5 units are superposed. The maximum and minimum possible intensities in the resulting beams are in the ratio *
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13. If red light is replaced by white light then width of diffraction pattern w *
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14. Light propagates rectilinearly because of its *
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15. The Cauchy’s dispersion formula is *
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  16. Golden view of sea shell is due to   *
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17. What is the path difference for destructive interference? *
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  18. A laer beam is used for carrying out surgery because it  
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19. When a beam of light is used to determine the position of an object, the maximum accuracy is achieved if the light is *
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20. A double slit experiment is performed with light of wavelength 500 nm. A thin film of thickness 2 mm and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will *
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21. Sodium lamps are used in foggy conditions because *
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22. A monochromatic beam of light is used for the formation of fringes on the screen by illuminating the two  slits in the Young’s double slit interference experiment. When a thin film of mica is interposed in the path of one of the interfering beams then *
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23. When a compact disc is illuminated by a source of white light, coloured lines are observed. This is due to *
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24. When exposed to sunlight, thin films of oil on water often exhibit brilliant colours due to the phenomenon of *
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25. In case of linearly polarised light, the magnitude of the electric field vector *
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26. A stone thrown into still water, creates a circular wave pattern moving radially outwards. If r is the distance measured from the centre of the pattern, the amplitude of the wave varies as *
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27. Flash light equipped with a new set of batteries, produces bright white light. As the batteries, wear o *
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28. A point source is kept at a distance of 1000 m has an illumination I. To change the illumination to 16i the new distance should become *
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29. In Young’s double slit experiment, the distance between two slits is made three times then the fringe width will become *
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30. When white light passes through a prism, the deviation is maximum for *
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31. Light is incident normally on a diffraction grating through which the first diffraction is seen at 32º. In this case the second order diffraction will be *
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32. Which out of following, cannot produce two coherent sources? *
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33. The intensity of gamma radiation from a given source is l. On passing through 36 mm of lead, it is reduced to l/8. The thickness of lead which will reduce the intensity to l/2 will be *
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34. In an interference, the intensity of two interfering waves are I and 4I respectively. They produce intensity at two points A and B with phase angle of p/2 and p respectively. Then difference in between them is *
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35. In a single slit diffraction with l = 500 nm and a lens of diameter 0.1 mm then width of central maxima, obtain on screen at a distance of 1 m will be *
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36. In Young’s double slit experiment, fringe order is represented by m, then fringe width is *
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37. Polaroid glass is used in sun glasses because *
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38. In a Young’s double slit experiment the spacing between the slits is 0.3 mm and the screen is kept at a distance of 1.5 m. The second bright fringe is found 6 mm from the central fringe. The wavelength of the light used in the experiment is *
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39. The frequency of a light wave in a material is 2 × 1014 Hz and wavelength is 5000 Å. The refractive index of material will be *
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40 For Bragg’s diffraction by a crystal to occur, then the X-ray of wavelength l and interatomic distance d must be *
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41 What changes occur, if the monochromatic light used in Young’s double slit experiment is replaced by white light? *
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44. Diffraction pattern of a single slit consists of a central bright band which is *
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