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JEE Main & Advanced Physics Ray Optics Question Bank Refraction of Light at Plane Surfaces

  • question_answer
    If \[_{i}{{\mu }_{j}}\] represents refractive index when a light ray goes from medium i to medium j, then the product \[_{2}{{\mu }_{1}}\times {{\,}_{3}}{{\mu }_{2}}\times {{\,}_{4}}{{\mu }_{3}}\] is equal to                                               [CBSE PMT 1990]

    A)            \[_{3}{{\mu }_{1}}\]          

    B)            \[_{3}{{\mu }_{2}}\]

    C)            \[\frac{1}{_{1}{{\mu }_{4}}}\]                                           

    D)            \[_{4}{{\mu }_{2}}\]

    Correct Answer: C

    Solution :

               \[_{2}{{\mu }_{1}}{{\times }_{3}}{{\mu }_{2}}{{\times }_{4}}{{\mu }_{3}}=\frac{{{\mu }_{1}}}{{{\mu }_{2}}}\times \frac{{{\mu }_{2}}}{{{\mu }_{3}}}\times \frac{{{\mu }_{3}}}{{{\mu }_{4}}}=\frac{{{\mu }_{1}}}{{{\mu }_{4}}}{{=}_{4}}{{\mu }_{1}}=\frac{1}{_{1}{{\mu }_{4}}}\]


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