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

  • question_answer
    If \[{{\varepsilon }_{0}}\] and \[{{\mu }_{0}}\] are respectively, the electric permittivity and the magnetic permeability of free space, \[\varepsilon \] and \[\mu \] the corresponding quantities in a medium, the refractive index of the medium is [IIT-JEE 1982; MP PET 1995; CBSE PMT 1997]

    A)            \[\sqrt{\frac{\mu \varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}}\]             

    B)            \[\frac{\mu \,\varepsilon }{{{\mu }_{0}}{{\varepsilon }_{0}}}\]

    C)            \[\sqrt{\frac{{{\mu }_{0}}{{\varepsilon }_{0}}}{\mu \varepsilon }}\]             

    D)            \[\sqrt{\frac{\mu {{\mu }_{0}}}{\varepsilon \,{{\varepsilon }_{0}}}}\]

    Correct Answer: A

    Solution :

               \[\mu =\frac{c}{v}=\frac{1/\sqrt{{{\mu }_{o}}{{\varepsilon }_{o}}}}{1/\sqrt{\mu \varepsilon }}=\sqrt{\frac{\mu \varepsilon }{{{\mu }_{o}}{{\varepsilon }_{o}}}}\]


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