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WB JEE Medical WB JEE Medical Solved Paper-2014

  • question_answer
    Consider two concentric spherical metal shells of radii \[{{r}_{1}}\] and \[{{r}_{2}}({{r}_{2}}>{{r}_{1}}).\]If the outer shell has a charge q and the inner one is grounded, the charge on the inner shell is

    A)  \[\frac{-{{r}_{2}}}{{{r}_{1}}}q\]

    B)  zero

    C)  \[\frac{-{{r}_{1}}}{{{r}_{2}}}q\]

    D)  \[-q\]

    Correct Answer: C

    Solution :

     Let, the charge on the inner shell be q The total charge will be zero So, \[\frac{kq}{{{r}_{1}}}+\frac{kq}{{{r}_{2}}}=0\] \[(\because \,{{r}_{2}}>{{r}_{1}})\] \[\Rightarrow \] \[q=-\frac{Kq/{{r}_{2}}}{K/{{r}_{1}}}\] \[q=-\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)q\]


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