JEE Main & Advanced Physics Ray Optics Question Bank Critical Thinking

  • question_answer
    A ray of light is incident at the glass?water interface at an angle i, it emerges finally parallel to the surface of water, then the value of \[{{\mu }_{g}}\] would be   [IIT-JEE (Screening) 2003]

    A)            (4/3) sin i

    B)            1/sin i

    C)            4/3

    D)            1

    Correct Answer: B

    Solution :

                       For glass-water interface \[_{g}{{\mu }_{w}}=\frac{\sin i}{\sin r}\]        ?(i)                    For water-air interface \[_{w}{{\mu }_{a}}=\frac{\sin r}{\sin {{90}^{o}}}\]          ?(ii)                    \[\Rightarrow \] \[_{g}{{\mu }_{w}}\times {{\,}_{w}}{{\mu }_{a}}=\frac{\sin i}{\sin r}\times \frac{\sin r}{\sin {{90}^{o}}}=\sin i\]            \[\Rightarrow \] \[\frac{{{\mu }_{w}}}{{{\mu }_{g}}}\times \frac{{{\mu }_{a}}}{{{\mu }_{w}}}=\sin i\Rightarrow {{\mu }_{g}}=\frac{1}{\sin i}\]


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