JEE Main & Advanced Physics Ray Optics Sample Paper Topic Test - Refraction of Light Through Curved Surfaces

  • question_answer
    A transparent cylinder has its right half polished so as to act as a mirror. A paraxial light ray is incident from left that is parallel to principal axis, exits parallel to the incident ray as shown. The refractive index n of the material of the cylinder is:

    A) 1.2

    B) 1.5              

    C) 1.8

    D) 2.0

    Correct Answer: D

    Solution :

    [d] For spherical surface using \[\frac{{{n}_{2}}}{v}-\frac{{{n}_{1}}}{u}=\frac{{{n}_{2}}-{{n}_{1}}}{R}\]  \[\Rightarrow \] \[\frac{n}{2R}-\frac{1}{\infty }=\frac{n-1}{R}\] \[\Rightarrow \] \[n=2n-2\] \[\Rightarrow \] \[n=2\]


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