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NEET 2022
Exam
NEET
Year
2022
Subject
Physics
Chapter
Electrostatics

NEET 2022 · Physics · Electrostatics

Six charges +q,-q,+q,-q,+q and -q are fixed at the corners of a...

Six charges +q,−q,+q,−q,+qand−q+q,-q,+q,-q,+q and -q are fixed at the corners of a hexagon of side dd as shown in the figure. The work done in bringing a charge q0q_0 to the centre of the hexagon from infinity is \left(\varepsilon_0-\right. permittivity of free space): Six charges +q,-q,+q,-q,+q and -q are fixed at the corners of a hexagon of side d as shown in the figure. The work done

Options

  1. AZero
  2. B−q24πε0d\frac{-q^2}{4 \pi \varepsilon_0 d}
  3. C−q24πε0d(3−12)\frac{-q^2}{4 \pi \varepsilon_0 d}\left(3-\frac{1}{\sqrt{2}}\right)
  4. D−q24πε0d(6−12)\frac{-q^2}{4 \pi \varepsilon_0 d}\left(6-\frac{1}{\sqrt{2}}\right)

Correct answer

A. Zero

Step-by-step solution

Work done = Change in potential energy W=Uf−Ui W=0\begin{aligned} & \mathrm{W}=\mathrm{U}_f-\mathrm{U}_i \\ & \mathrm{~W}=0 \end{aligned} Hence, W=0W=0
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