JEE Main & Advanced Physics Ray Optics Sample Paper Topic Test - Refraction of Light Through Plane Surfaces

  • question_answer
    Statement-1: Beam of white light is incident on a transparent glass hemisphere as shown in figure. The beam is rotated clockwise so that angle \[\theta \] increases, as the refracted beam approaches a direction parallel to the horizontal it appears red.
    Statement-2: Critical angle for a pair of medium depends on \[Rl's\] of mediums and given by \[{{i}_{c}}={{\sin }^{-1}}\left( \frac{1}{_{R}{{\mu }_{D}}} \right)\And Rl\] in turn depends on wavelength of light.

    A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

    B) Statement-1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1

    C) Statement-1 is True, Statement -2 is False

    D) Statement -1 is False, Statement-2 is True

    Correct Answer: A

    Solution :

    [a] As \[\theta \] increases incident angle approaches the critical angle. \[{{\mu }_{v}}>{{\mu }_{R}}\] and as \[{{i}_{c}}={{\sin }^{-1}}\left( \frac{1}{\mu } \right),{{i}_{c}}\] for violet color is least and for red color maximum. So violet color gets TIR first followed by other colors and red would be last one to get TIR.


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