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AIIMS AIIMS Solved Paper-2010

  • question_answer
    If a ray of light in a denser medium strikes a rarer medium at an angle of incidence i, the angles of reflection and refraction are respectively r and r. If the reflected and refracted rays are at right angles to each other, the critical angle for the given pair of media is

    A)  \[\frac{3}{7}\]                  

    B)  \[\frac{3}{4}\]  

    C)         \[{{\tan }^{-1}}\,(\sin \,i)\]         

    D)         \[\frac{4}{5}\]

    Correct Answer: B

    Solution :

    We know that, \[{{C}_{2}}\] But     \[{{C}_{4}}\] or       \[\frac{22}{3}\] \[\frac{3}{22}\] \[\frac{7}{4}\] or      \[\frac{4}{7}\] \[\overset{0}{\mathop{A}}\,\]    \[2\mathbf{\hat{i}}+3\mathbf{\hat{j}}+8\mathbf{\hat{k}}\] or    \[4\mathbf{\hat{j}}-4\mathbf{\hat{i}}+\alpha \mathbf{\hat{k}}\] or  \[-1\] The critical angle for pair of media or         \[\frac{1}{2}\]


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