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Manipal Medical Manipal Medical Solved Paper-2008

  • question_answer
    A thin prism\[{{P}_{1}}\]with angle\[4{}^\circ \]arid made from 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 dispersion without deviation \[{{\delta }_{1}}-{{\delta }_{2}}=0,\]i.e., \[{{\delta }_{1}}={{\delta }_{2}}\] \[\therefore \] \[({{\mu }_{1}}-1){{A}_{1}}=({{\mu }_{2}}-1){{A}_{2}}\] Or \[(1.54-1)4{}^\circ =(1.72-1)A{{ & }_{2}}\] \[\therefore \] \[{{A}_{2}}=3{}^\circ \]


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