JEE Main & Advanced Physics Ray Optics Sample Paper Topic Test - Refraction of Light Through Curved Surfaces

  • question_answer
    A parallel beam of light is incident on a lens of focal length 10 cm. A parallel slab of refractive index 1.5 and thickness 3 cm is placed on the other side of the lens. The Nature of the final image from the lens slab combination is: (Assume rays paraaxial)

    A) At Distance of 11 cm and Image is virtual if \[X=12\text{ }cm\]

    B) At Distance of 11 cm and Image is virtual if \[X=14\text{ }cm\]

    C) At the Distance of 11 cm and Image is Virtual if \[X=16\text{ }cm\]

    D) All the above

    Correct Answer: D

    Solution :

    As rays are parallel to the principal axis, image is created by lens at the focus.
    By placing of glass-slab, \[\text{shift}\,\text{=}\left( 1-\frac{1}{\mu } \right).t\] \[\,\text{=}\left( 1-\frac{1}{1.5} \right)3=1\,\,cm.\]
    Irrespective of separation, Image is shifted to the right by 1 cm.
    Total distance from lens \[10+1=11\,cm\]
    Image will be virtual if X is greater than 11 cm

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