Uttarakhand PMT Uttarakhand PMT Solved Paper-2009

  • question_answer
    A lens behaves as a converging lens in air and diverging lens in water. The refractive index of the material of the lens is

    A)  equal to that of water

    B)  less than that of water

    C)  greater than that of water

    D)  Nothing can be predicted

    Correct Answer: B

    Solution :

     If a lens (made of glass) of refractive index\[{{\mu }_{g}}\]is immersed in a liquid of refractive index\[{{\mu }_{l}},\]then its focal length in liquid\[{{f}_{l}}\]is given by \[\frac{1}{{{f}_{l}}}={{(}_{l}}{{\mu }_{g}}-1)\left[ \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right]\] ?(i) If\[{{\mu }_{g}}<{{\mu }_{l}},\]then\[{{f}_{l}}\]and\[{{f}_{a}}\]have opposite signs and the nature of lens changes ie, convex lens diverges the light rays and concave lens converges the light rays.


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