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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    \[{{\lambda }_{a}}\]and\[{{\lambda }_{m}}\]are the wavelengths of a beam of light in air and medium respectively. If\[\theta \]is the polarizing angle, the correct relation between \[{{\lambda }_{a}}{{\lambda }_{m}}\]and\[\theta \]is:

    A)  \[{{\lambda }_{a}}={{\lambda }_{m}}{{\tan }^{2}}\theta \]          

    B)  \[{{\lambda }_{m}}={{\lambda }_{a}}{{\tan }^{2}}\theta \]

    C)         \[{{\lambda }_{a}}={{\lambda }_{m}}\cot \theta \]

    D)         \[{{\lambda }_{m}}={{\lambda }_{a}}\cot \theta \]

    E)  \[{{\lambda }_{m}}={{\lambda }_{a}}\sin \theta \]

    Correct Answer: D

    Solution :

    \[\mu =\tan \theta \]and\[\mu =\frac{{{\lambda }_{a}}}{{{\lambda }_{m}}}\] Hence, \[\frac{{{\lambda }_{a}}}{{{\lambda }_{m}}}=\tan \theta \Rightarrow {{\lambda }_{m}}={{\lambda }_{a}}\cot \theta \]


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