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JEE Main & Advanced Physics Ray Optics Question Bank Self Evaluation Test - Ray Optics and Optical Instruments

  • question_answer
    A ray of light is incident on a thick slab of glass (thickness t) as shown below. The emergent ray is parallel to the incident ray but displaced. Sideways by a distance d. If the angles are small then d is:    

    A) \[t\left( 1-i/r \right)\]

    B) \[rt\left( 1-i/r \right)\]

    C) \[rt\left( 1-\frac{r}{i} \right)\]

    D) \[t\left( 1-\frac{r}{i} \right)\]

    Correct Answer: C

    Solution :

    [c] The lateral displacement is given by \[d=\frac{1}{\cos r}\sin \left( i-r \right)\] For small angle f, angle r is also small, and so \[d=t\left( i-r \right)=ti\left( 1-r/i \right)\]


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