RAJASTHAN PMT Rajasthan - PMT Solved Paper-2009

  • question_answer
    The wavelength of light in two liquids x and y are \[3500\overset{\text{o}}{\mathop{\text{A}}}\,\] and \[7000\overset{\text{o}}{\mathop{\text{A}}}\,\], then the critical angle of x relative to y will be

    A) \[60{}^\circ \]                   

    B)        \[45{}^\circ \]

    C) \[30{}^\circ \]                   

    D)        \[15{}^\circ \]

    Correct Answer: C

    Solution :

    \[{{\lambda }_{x}}=3500\,\,\overset{\text{o}}{\mathop{\text{A}}}\,,\,\,{{\lambda }_{y}}=7000\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]                 \[\sin C=\frac{{{\mu }_{2}}}{{{\mu }_{1}}}=\frac{{{\lambda }_{x}}}{{{\lambda }_{y}}}\]                          \[=\frac{3500}{7000}=\frac{1}{2}\].                 \[\sin C=\sin {{30}^{o}}\] \[\therefore \]        \[C={{30}^{o}}\]


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