VIT Engineering VIT Engineering Solved Paper-2015

  • question_answer
    Two convex lenses of power 2D and 5D are separated by a distance \[\frac{1}{3}m.\]. The power of optical system formed is

    A) + 2 D                     

    B) - 2 D   

    C) - 3 D                      

    D) + 3 D

    Correct Answer: D

    Solution :

    Given                  \[{{\varepsilon }_{r}}\]                  \[C=\frac{K{{\varepsilon }_{0}}A}{d}=15\mu F\]                  \[\frac{C}{{{C}_{0}}}=\frac{\frac{K{{\varepsilon }_{0}}A}{d}}{\frac{{{\varepsilon }_{0}}A}{d}}=\frac{15}{3}\] We know that                    \[\Rightarrow \] \[{{\varepsilon }_{r}}={{\varepsilon }_{0}}K\]    \[=8.85\times {{10}^{-12}}\times 5\]           \[=0.44\times {{10}^{-10}}\] \[\text{R= }\!\!\rho\!\!\text{ }\frac{\text{I}}{\text{a}}\]     P = 3D


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