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JEE Main & Advanced Physics Ray Optics Sample Paper Topic Test - Reflection of Light

  • question_answer
    An object is placed at a distance of 50 cm from a convex mirror. A plane mirror is placed in front of the convex mirror in such a way that it convers half of the convex mirror. If the distance between object and plane mirror is 30 cm then there is no parallax between the images formed by two mirrors the radius of curvature of convex mirror will be :

    A) 50 cm 

    B) 25 cm  

    C) 12.5 cm

    D) 100 cm

    Correct Answer: B

    Solution :

    [b] The image will be formed by the plane mirror at a 30 cm behind it, while the image by convex mirror will be formed at 10 cm behind the convex mirror. Since for convex mirror \[u=-\,50cm\] \[v=10\,cm\] \[\frac{1}{f}=\frac{1}{-\,50}+\frac{1}{10}=\frac{-1+5}{50}=\frac{4}{50}\] \[f=\frac{50}{4}=12.5\,cm\] Therefore the radius of curvature of convex mirror is \[r=2f=25\,cm\]


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