VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    The refractive index for a prism is given as  \[\mu =\cot \frac{A}{2}.\]Then, angle of minimum deviation in terms of angle of prism is

    A) 90°-A                                    

    B) 2A

    C) 180°-A                                  

    D) 180°-2A

    Correct Answer: D

    Solution :

    The refractive index of a prism is given by                    \[=\frac{1}{2}C\times {{\left( 200 \right)}^{2}}\]              ...(i) where, A = angle of prism                \[\text{=2C }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{4}}}\text{J}\] angle of minimum deviation Given,   \[\Delta \theta \] So, from Eq. (i).            \[Q=ms\Delta \theta =0.1\times 250\times 0.4\] \[2C\times {{10}^{4}}=10\]     \[\Rightarrow \] \[C=\frac{10}{2\times {{10}^{4}}}=5\times {{10}^{-4}}\]      \[\therefore \] \[C=500\mu F\]      \[{{C}_{0}}=\frac{{{\varepsilon }_{0}}A}{d}=3\mu F\]


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