JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The radius of a metallic sphere if its capacitance is \[1/9\,F\], is [KCET 1999; Pb. PET 2001]

    A)            \[{{10}^{6}}\,m\]

    B)                                      \[{{10}^{7}}m\]

    C)            \[{{10}^{9}}\,m\]                

    D)            \[{{10}^{8}}\,m\]

    Correct Answer: C

    Solution :

               \[C=4\pi {{\varepsilon }_{0}}R\], \[R=\frac{C}{4\pi {{\varepsilon }_{0}}}\] Þ \[R=(1/9)\times 9\times {{10}^{9}}={{10}^{9}}m\]


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