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NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    The magnitude of electric intensity at a distance X from a charge q is \[\in ,\] An identical charge is placed at a distance 2X from it. Then, the magnitude of the force that it experiences is:

    A)  \[qE\]                         

    B)  \[2\,qE\]

    C)  \[\frac{qE}{2}\]                               

    D)  \[\frac{q\,E}{4}\]

    Correct Answer: D

    Solution :

    Given,    \[\varepsilon =\frac{q}{4\pi {{\varepsilon }_{0}}{{x}^{2}}}\] Hence, the magnitude of the electric intensity at a distance 2 x from charge q is \[E'=\frac{q}{4\pi {{\varepsilon }_{0}}{{(2x)}^{2}}}=\frac{q}{4\pi {{\varepsilon }_{0}}{{x}^{2}}}\times \frac{1}{4}=\frac{E}{4}\] Therefore experienced by a similar charge q at distance 2 x is             \[F=qE'=\frac{qE}{4}\]


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