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NEET Sample Paper NEET Sample Test Paper-43

  • question_answer
    A point charge is surrounded by eight identical charges at a distance r as shown in figure. How much work is done by the force of electrostatic repulsion when the point charge at the centre is removed to infinity -

    A) zero                              

    B) \[\frac{8{{q}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]

    C) \[\frac{8q}{4\pi {{\varepsilon }_{0}}r}\]             

    D) \[\frac{64{{q}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]

    Correct Answer: B

    Solution :

    Work done \[=-\text{ }\Delta U\text{ }=\text{ }{{U}_{i}}-{{U}_{f}}\] \[=\frac{8k{{q}^{2}}}{r}-O\] \[=\frac{8{{q}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]


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