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JEE Main & Advanced Sample Paper JEE Main Sample Paper-28

  • question_answer
    A hollow sphere of radius \[2R\] is charged to V volts and another smaller sphere of radius R is charged to \[V/2\] volts. Then the smaller sphere is placed inside the bigger sphere without changing the net charge on each sphere. The potential difference between the two spheres would be :

    A)  \[3V/2\]                             

    B)  \[V/4\]

    C)  \[V/2\]                               

    D)  \[V\]

    Correct Answer: B

    Solution :

    The potential difference will depend only on the charge on inner sphere. If Q is the charge on inner sphere then \[\frac{V}{2}=\frac{kQ}{R}\] and \[{{V}_{inner}}-{{V}_{outer}}=\frac{kQ}{R}-\frac{kQ}{2R}=\frac{kQ}{2R}=\frac{V}{4}\]


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