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NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    A metal sphere of \[4\text{ }cm\] radius is suspended within a hollow sphere of \[6\text{ }cm\] radius. The inner sphere is charged to a potential of\[3\text{ }esu\]. When the outer sphere is earthed, the charge on the inner sphere is

    A)  \[\text{54 }esu\]                     

    B)  \[\frac{1}{4}\text{ }esu\]

    C)  \[\text{30 }esu\]                     

    D)  \[36\text{ }esu\]

    Correct Answer: D

    Solution :

    The arrangement behaves as a spherical capacitor having capacitance in CGS (i.e., in esu) system of units. \[C=\frac{ab}{b-a}=\frac{4\times 6}{6-4}=12\,esu\] Also   \[C=\frac{\text{charge}}{potential\,\,difference}=\frac{q}{3}\] \[\Rightarrow \]            \[q=3C=3\times 12=36\,esu\]


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