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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2004

  • question_answer
    A thin prism P of angle \[4{}^\circ \] made of glass of refractive index 1.54 is combined to a thin prism Q made of glass of refractive index 1.72 to produce dispersion without deviation. The angle of prism Q is:

    A) \[4{}^\circ \]                                      

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

    C) \[2.6{}^\circ \]                  

    D)        \[5.3{}^\circ \]

    Correct Answer: B

    Solution :

           \[(np-1){{A}_{p}}=({{n}_{Q}}-1){{A}_{Q}}\]     \[(1.54-1)4{}^\circ =(1.72-1){{A}_{Q}}\]           \[\Rightarrow \]   \[{{A}_{Q}}=\frac{0.54\times 4}{0.72}=3{}^\circ \]


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