CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If the angle of minimum deviation is of\[{{60}^{o}}\]for an equilateral prism, then the refractive index of the material of the prism is

    A)  1.41                      

    B)  1.5                        

    C)  1.6                        

    D)         1.33

    E)  1.73

    Correct Answer: E

    Solution :

    \[\mu =\frac{\sin \left( \frac{A+{{\delta }_{m}}}{2} \right)}{\sin \frac{A}{2}}\] For equilateral prism, \[\angle A=60{}^\circ \] \[\therefore \]\[\mu =\frac{\sin \left( \frac{60{}^\circ +60{}^\circ }{2} \right)}{\sin \left( \frac{60{}^\circ }{2} \right)}=\frac{\sin 60{}^\circ }{\sin 30{}^\circ }=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\] \[=\sqrt{3}=1.73\]


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