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JEE Main & Advanced Physics Ray Optics Sample Paper Topic Test - Refraction of Light Through Plane Surfaces

  • question_answer
    The curve of angle of incidence versus angle of deviation shown has been plotted of prism. The value of refractive index of the prism used is:

    A) \[\sqrt{3}\]

    B) \[\sqrt{2}\]

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

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

    Correct Answer: A

    Solution :

    [a] \[\delta =i+e-A\]
    \[{{\delta }_{\min }}={{60}^{o}}\] when \[i=e\]\[\Rightarrow \]\[{{60}^{o}}=2i-A=2({{60}^{o}})-A\]\[\Rightarrow \]\[A={{60}^{o}}\]
    \[\mu =\frac{\sin \left( \frac{A+{{\delta }_{\min }}}{2} \right)}{\sin \left( \frac{A}{2} \right)}=\frac{\sin \left( \frac{60+60}{2} \right)}{\sin \left( \frac{60}{2} \right)}=\sqrt{3}\]


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