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Wave Optics Test - 7

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Wave Optics Test - 7
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  • Question 1
    1 / -0.25

     

    Diffraction also refers to

     

    Solution

     

     

    Diffraction is defined as the process by which a beam of light or other system of waves is spread out as a result of passing through a narrow aperture or across an edge, typically accompanied by interference between the waveforms produced.

     

     

  • Question 2
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    Shape of the wave front of light emerging out of a convex lens when a point source is placed at its focus.

     

    Solution

     

     

    Plane. The shape of the wavefront in case of a light emerging out of a convex lens when a point source is placed at its focus is a parallel grid.

     

     

  • Question 3
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    A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young ’s double-slit experiment. Find the distance of the third bright fringe on the screen from the central maximum for wavelength 650 nm.

     

    Solution

     

     

     

     

  • Question 4
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    A beam of light has a wavelength of 650 nm in vacuum. What is the wavelength of these waves in the liquid whose index of refraction at this wavelength is 1.47?

     

    Solution

     

     

    We know that,
    Wavelength of light in a material:
    λ= λ0 /n
    where, λ=wavelength of material, λ0 =wavelength of light in vacuum,
    n=index of refraction of material.
    So, 650x10-9 m/1.47=442.177nm.

     

     

  • Question 5
    1 / -0.25

     

    wave front is

     

  • Question 6
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    A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young ’s double-slit experiment. What is the least distance from the central maximum where the bright fringes due to both the wavelengths coincide?

     

    Solution

     

     

     

     

  • Question 7
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    A parallel beam of light in air makes an angle of 47.5  with the surface of a glass plate having a refractive index of 1.66. What is the angle between the reflected part of the beam and the surface of the glass?

     

    Solution

     

     

    The angle of incidence = 90 - 47.5 = 42.5
    Now by snells ’laws we get  
    sin r = sin 42.5 / 1.66
    Thus we get r = 24.01
    Thus the angle with surface = 90 -24.01 = 65.99

     

     

  • Question 8
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    Shape of the wave front of portion of the wave front of light from a distant star intercepted by the Earth

     

    Solution

     

     

    Plane (a small area on the surface of a large sphere is nearly planar). The portion of the wavefront of light from a distant star intercepted by the Earth is a plane.

     

     

  • Question 9
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    Which of the following phenomenon cannot be explained by diffraction?

     

    Solution

     

     

    The bright colors seen in an oil slick floating on water or in a sunlit soap bubble are caused by interference. The brightest colors are those that interfere constructively. This interference is between light reflected from different surfaces of a thin film; thus, the effect is known as thin film interference.

     

     

  • Question 10
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    According to Huygens principle

     

    Solution

     

     

    Every point on a wave-front may be considered a source of secondary spherical wavelets which spread out in the forward direction at the speed of light. The new wave-front is the tangential surface to all of these secondary wavelets.

    According to Huygens 'principle, a plane light wave propagates though free space at the speed of light, c. The light rays associated with this wave-front propagate in straight-lines. It is also fairly straightforward to account for the laws of reflection and refraction using Huygens 'principle.

     

     

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