JEE Main & Advanced Physics Question Bank Prism Theory and Dispersion of Light

  • question_answer
    If the refractive index of a material of equilateral prism is \[\sqrt{3}\], then angle of minimum deviation of the prism is [CBSE PMT 1999; Pb. PMT 2004; MH CET 2004]

    A)            30°

    B)            45°

    C)            60°

    D)            75°

    Correct Answer: C

    Solution :

                       \[\mu =\frac{\sin \left( \frac{A+{{\delta }_{m}}}{2} \right)}{\sin \frac{A}{2}}\] Þ \[\sqrt{3}=\frac{\sin \left( \frac{60{}^\circ +{{\delta }_{m}}}{2} \right)}{\sin \frac{60{}^\circ }{2}}\] \[\Rightarrow \]\[\frac{\sqrt{3}}{2}\]=\[\sin \left( 30{}^\circ +\frac{{{\delta }_{m}}}{2} \right)\]\[\Rightarrow {{\delta }_{m}}={{60}^{o}}\]


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