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JEE Main & Advanced Physics Question Bank Prism Theory and Dispersion of Light

  • question_answer
    If a thin prism of glass is dipped into water then minimum deviation (with respect to air) of light produced by prism will be left  \[\left( _{a}{{\mu }_{g}}=\frac{3}{2}\text{ and}{{\,}_{a}}{{\mu }_{w}}\,=\,\frac{4}{3} \right)\]                            [UPSEAT 1999]

    A)            \[\frac{1}{2}\]                      

    B)            \[\frac{1}{4}\]

    C)             2   

    D)            \[\frac{1}{5}\]

    Correct Answer: B

    Solution :

               \[\frac{{{\delta }_{a}}}{{{\delta }_{w}}}=\frac{{{(}_{a}}{{\mu }_{g}}-1)}{{{(}_{w}}{{\mu }_{g}}-1)}\]\[=\frac{\left( \frac{3}{2}-1 \right)}{\left( \frac{3/2}{4/3}-1 \right)}=4\]\[\Rightarrow {{\delta }_{w}}=\frac{{{\delta }_{a}}}{4}\]


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