Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2005

  • question_answer
      The radii of two spheres forming a spherical condenser are 0.5 and 0.6 m. If a medium having dielectric constant 6 is completely filled in between, the capacity of the condenser will be

    A) \[3.3\times {{10}^{-10}}\text{F}\]                            

    B)  \[2\times {{10}^{-9}}\text{F}\]

    C)  \[2\text{F}\]                                    

    D)  \[\text{18F}\]

    Correct Answer: B

    Solution :

    Capacity of spherical condenser is \[C=4\pi {{\varepsilon }_{0}}\frac{Kab}{b-a}\] \[=\frac{6\times 0.5\times 0.6}{9\times {{10}^{9}}(0.6-0.5)}\] \[=\frac{1.8}{0.9\times {{10}^{9}}}=2\times {{10}^{-9}}F\]


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