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

  • question_answer
    The human eye can be regarded as a single spherical refracting surface of curvature of radii 7.8 mm. If a parallel beam of light comes to focus at 3.075 cm behind the refracting surface, the refractive index of the eye is

    A) 1.34

    B) 1       

    C) 1.5

    D) 1.86

    Correct Answer: A

    Solution :

    [a] Use \[\frac{{{\mu }_{2}}}{v}-\frac{{{\mu }_{1}}}{u}=\frac{{{\mu }_{2}}-{{\mu }_{1}}}{R}\] Here      \[{{\mu }_{2}}=\mu =?\] \[{{\mu }_{1}}=1\] \[u=\infty \] \[v=3.075\text{ }cm,R=7.8\text{ }mm\] \[\frac{\mu }{3.075}-\frac{1}{\infty }=\frac{\mu -1}{0.78}\] \[\Rightarrow \]   \[\mu =1.34\]


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