Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2006

  • 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 toy 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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