JEE Main & Advanced Physics Ray Optics Question Bank Refraction of Light at Plane Surfaces

  • question_answer
    A thin oil layer floats on water. A ray of light making an angle of incidence of \[40{}^\circ \] shines on oil layer. The angle of refraction of light ray in water  is (\[{{\mu }_{oil}}=1.45,\,{{\mu }_{water}}=1.33\]) [MP PMT 1993]

    A) \[36.1{}^\circ \]                                      

    B) \[44.5{}^\circ \]

    C) \[26.8{}^\circ \]

    D) \[28.9{}^\circ \]

    Correct Answer: D

    Solution :

    Refraction at air-oil point \[{{\mu }_{oil}}=\frac{\sin i}{\sin {{r}_{1}}}\]                    \[\therefore \]\[\sin {{r}_{1}}=\frac{\sin 40}{1.45}=0.443\]                    Refraction at oil-water point \[_{oil}{{\mu }_{water}}=\frac{\sin {{r}_{1}}}{\sin r}\]                    \[\therefore \] \[\frac{1.33}{1.45}=\frac{0.443}{\sin r}\] or \[\sin r=\]\[\frac{0.443\times 1.45}{1.33}\]Þ\[r={{28.9}^{o}}\]


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