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

  • question_answer
    A double convex thin lens made of glass of refractive index 1.6 has radii of curvature 15 cm each.  The focal length of this lens when immersed in a liquid of refractive index 1.63 is                              [UPSEAT 2000; Pb. PET 2004]

    A) - 407 cm                                

    B) 250 cm

    C) 125 cm                                    

    D) 25 cm

    Correct Answer: A

    Solution :

    \[\frac{{{f}_{l}}}{{{f}_{a}}}=\frac{{{(}_{a}}{{\mu }_{g}}-1)}{{{(}_{l}}{{\mu }_{g}}-1)}\]; \[{{f}_{a}}=\frac{R}{2({{\mu }_{g}}-1)}=\frac{15}{2(1.6-1)}=12.5\]            \[\Rightarrow \]\[\frac{{{f}_{l}}}{12.5}=\frac{(1.6-1)}{\left( \frac{1.6}{1.63}-1 \right)}\Rightarrow {{f}_{l}}=-\,407.5\]\[cm\]


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