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Wave Optics Quiz 4

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JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts. .

Q1. A thin film of refractive index 1.5 and thickness 4x10-5 cm is illuminated by light normal to the surface. What wavelength within the visible spectrum will be intensified in the reflected beam?
  •  4800Å
  •  5800Å
  •  6000Å
  •  6800Å
Solution
Q2.Light of wavelength λ=5890 Å falls on a double-slit arrangement having separation d=0.2 mm. A thin lens of focal length f=1 m is placed near the slits. The linear separation of fringes on a screen placed in the focal plane of the lens is
  •  3 mm
  •  4 mm
  •  2 mm
  •  1 mm
Solution
Q3.  In hydrogen spectrum the wavelength of Hα line is 656 nm whereas in the spectrum of a distant galaxy, Hα line wavelength is 706 nm. Estimated speed of the galaxy with respect to earth is
  •  2× 108m/s
  •  2× 107m/s
  •  2× 106m/s
  •  2× 105m/s
Solution

Q4. Two coherent light sources, each of wavelength λ, are separated by a distance 3λ. The maximum number of minima formed on line AB, which runs from -∞ to +∞, is
  •  2
  •  4
  •  6
  •  8
Solution
Q5.Two beams of light having intensities I and 4I interfere to produce a fringe pattern on a screen. The phase between the beams is π/2 at point A and π at point B. Then, the difference between the resultant intensities at A and B is
  •  2I
  •  4I
  •  5I
  •  7I
Solution
Q6. Figure shows two coherent sources S1 and S2 vibrating in same phase. AB is an irregular wire lying at a far distance from the sources S1 and S2. Let λ/d=10-3 ∠BOA=0.12°. How many bright spots will be seen on the wire, including points A and B?
  •  2
  •  3
  • 4
  •  More than 4
Solution

Q7.In a YDSE, light of wavelength λ=5000 Å is used, which emerges in phase from two slits a distance d=3×10-7m apart. A transparent sheet of thickness t= 1.5×10-7m, refractive index n=1.17, is placed over one of the slits. Where does the central maxima of the interference now appear from the center of the screen? (Find the value of y?)
  •  
    D(μ-1)t / 2d
  •  
    2D(μ-1)t / d
  •  
    D(μ+1)t / d
  •  
    D(μ-1)t / d
Solution

Q8.In Young’s double-slit experiment, the slits are 0.5 mm apart and the interference is observed on a screen at a distance of 100 cm from the slits. It is found that the ninth bright fringe is at a distance of 7.5 mm found that the ninth bright fringe is at a distance of 7.5 mm from the second dark fringe from the center of the fringe pattern. The wavelength of the light used is
  •  5000 Å
  •  
    5000 / 7
    Å
  •  2500 Å
  •  
    2500 / 7
    Å
Solution
Q9.In Young’s double-slit experiment, the separation between two coherent sources S1 and S2 is d and the distance between the source and screen is D. In the interference pattern, it is found that exactly in front of one slit, there occurs a minimum. Then the possible wavelengths used in the experiment are
  •   λ=
    d2 / D
    ,
    d2 / 3D
    ,
    d2 / 5D
  •   λ=
    d2 / D
    ,
    d2 / 5D
    ,
    d2 / 9D
  •   λ=
    d2 / D
    ,
    d2 / 2D
    ,
    d2 / 3D
  •   λ=
    d2 / 3D
    ,
    d2 / 7D
    ,
    d2 / 11D
Solution
Q10. Sources 1 and 2 emit lights of different wavelengths whereas 3 and 4 emit lights of different intensities. The coherence
  •  Can be obtained by using sources 1 and 2
  •  Can be obtained by using sources 3 and 4
  •  Cannot be obtained by any of these sources
  • Since contrast suffers when sources 3 and 4 are used so coherence cannot be obtained by using sources 3 and 4
Solution

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