AMU Medical AMU Solved Paper-2006

  • question_answer
    Considering normal incidence of ray, the equivalent refractive index of combination of two slabs shown in figure is

    A)  1.8                                        

    B)  1.43

    C)  2                                            

    D)  None of these

    Correct Answer: B

    Solution :

                     The equivalent refractive index of combination of slabs for normal incidence is                                 \[\mu =\frac{\Sigma \,{{t}_{i}}}{\Sigma \frac{{{t}_{i}}}{{{\mu }_{\,i}}}}\]                 In this case,        \[\mu =\frac{{{t}_{1}}+{{t}_{2}}}{\frac{{{t}_{1}}}{{{\mu }_{1}}}+\frac{{{t}_{2}}}{{{\mu }_{2}}}}\]                                                 \[=\frac{10+15}{\frac{10}{4/3}+\frac{15}{3/2}}\]                                                 \[=\frac{25}{7.5+10}=\frac{25}{17.5}\]                                                 = 1.43


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