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

  • question_answer
    A mobile phone of width 5 cm and length 10 cm, is placed parallel to its lengths, such that one of its lengths is along the principal axis of a concave mirror of focal length 30 cm. The far point of its length is at the centre of curvature of the mirror. The width of the image will be

    A) 5 cm

    B) varies from 5 to 7.5 cm

    C) cannot be found

    D) varies from 7.5 to 9 cm

    Correct Answer: B

    Solution :

    [b]
    Image of the farther edge of the phone will be at centre of curvature itself of the same size -5 cm. But the other edge at 50 cm will form its image at v satisfying, \[\frac{1}{-30}=\frac{1}{\upsilon }+\frac{1}{-50}\Rightarrow \,\frac{1}{\upsilon }=\frac{1}{50}-\frac{1}{30}=\frac{3-5}{150}\] and        \[\upsilon =-75\,cm\]
    Image height for object distance 50 cm is,
    \[{{h}_{I}}={{h}_{0}}\times \left( -\frac{\upsilon }{u} \right)=w\times \left( -\frac{\upsilon }{u} \right)\]
    \[=5\times \left( -\frac{(-75)}{(-50)} \right)=-7.5\,cm\]


You need to login to perform this action.
You will be redirected in 3 sec spinner