JEE Main & Advanced Physics Ray Optics Question Bank Refraction at Curved Surface

  • question_answer
    In the figure, an air lens of radii of curvature    10 cm (\[{{R}_{1}}\] = \[{{R}_{2}}\] = 10 cm) is cut in a cylinder of glass\[(\mu =1.5)\]. The focal length and the nature of the lens is [MP PET 1995; Pb. PET 2000]

    A)            15 cm, concave

    B)            15 cm, convex

    C)            \[\infty \], neither concave nor convex

    D)            0, concave

    Correct Answer: A

    Solution :

                       \[\frac{1}{f}=\left( _{g}{{\mu }_{a}}-1 \right)\,\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)=\left( \frac{2}{3}-1 \right)\,\left( \frac{2}{10} \right)\]            \[\Rightarrow \]\[f=-15\,cm\], so behaves as concave lens.


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