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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        A thin prism\[{{P}_{1}}\]with angle\[4{}^\circ \]made from a glass of refractive index 1.54 is combined with another thin prism\[{{P}_{2}}\]made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism\[{{P}_{2}}\]is

    A)  \[5.33{}^\circ \]                               

    B)  \[4{}^\circ \]

    C)  \[3{}^\circ \]                                     

    D)  \[2.6{}^\circ \]

    Correct Answer: C

    Solution :

                    For no deviation, \[(\mu -1)A+(\mu -1)A=0\] \[\Rightarrow \]               \[A=-\frac{(\mu -1)A}{(\mu -1)}\]                 \[=-\frac{(1.54-1)4{}^\circ }{(1.72-1)}\]                 \[=-3{}^\circ \] Negative sign implies that two prisms should be connected in opposition.


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