CMC Medical CMC-Medical VELLORE Solved Paper-2011

  • question_answer
    A ray of light is incident at an angle of, incidence \[60{}^\circ \] from air to liquid. What is the 1 ratio of width from air to liquid if angle of refraction is\[45{}^\circ \]?

    A)  \[\frac{\sqrt{2}}{3}\]                                    

    B)  \[\sqrt{\frac{3}{2}}\]

    C)  \[\sqrt{\frac{2}{3}}\]                                    

    D)  \[\frac{1}{\sqrt{2}}\]

    E)  \[\frac{\sqrt{3}}{2}\]

    Correct Answer: D

    Solution :

                    \[\frac{\text{Width of incident wavefront}}{\text{Width of refracted wavefront}}=\frac{\cos i}{\cos r}\] \[=\frac{\cos 60{}^\circ }{\cos 45{}^\circ }=\frac{1/2}{1/\sqrt{2}}\] \[=\frac{1}{\sqrt{2}}\]


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