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J & K CET Engineering J and K - CET Engineering Solved Paper-2008

  • question_answer
    Consider a thin spherical shell of radius R consisting of uniform surface charge density \[\sigma \] The electric field at a point of distance x from its centre and outside the shell is

    A)  inversely proportional to \[\sigma \]

    B)  directly proportional to \[{{x}^{2}}\]

    C)  directly proportional to \[\sigma \]

    D)  inversely proportional to \[{{x}^{2}}\]

    Correct Answer: D

    Solution :

    Electric field at a distance x from the centre \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{q}{{{x}^{2}}}\] \[\Rightarrow \] \[E\propto \frac{1}{{{x}^{2}}}\]


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