CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    The angle of minimum deviation \[{{\delta }_{m}}\] for an equilateral glass prism is\[30{}^\circ \]. Refractive index of the prism is

    A)  \[\frac{1}{\sqrt{2}}\]                                    

    B)  \[\sqrt{2}\]

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

    D)  \[\frac{1}{2\sqrt{2}}\]

    E)  None of these

    Correct Answer: B

    Solution :

                    Given, \[A=60{}^\circ ,\]\[{{\delta }_{m}}=30{}^\circ \] As,          \[\mu =\sin \frac{\left( \frac{A+{{\delta }_{m}}}{2} \right)}{\sin \left( \frac{A}{2} \right)}\] \[\therefore \]  \[\mu =\sin \frac{\left( \frac{60{}^\circ +30{}^\circ }{2} \right)}{\sin \left( \frac{60{}^\circ }{2} \right)}\]                 \[=\frac{\sin 45{}^\circ }{\sin 30{}^\circ }\]                 \[=\frac{1\text{/}\sqrt{2}}{1\text{/}2}\]                 \[=\frac{2}{\sqrt{2}}\]                 \[=\sqrt{2}\]


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