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Electrostatics question

2022 · Q178
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Electrostatics question

2022 · Q178

NEETPhysicsElectrostaticsMCQ+4 / −1

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 in bringing a charge q0 to the centre of the hexagon from infinity is

(ε0{\varepsilon _0}ε0​ - permittivity of free space)

NEET 2022 Phase 2 Physics - Electrostatics Question 13 English

  1. A
    −q24πε0d(6−12){{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {6 - {1 \over {\sqrt 2 }}} \right)4πε0​d−q2​(6−2​1​)
  2. B
    Zero
  3. C
    −q24πε0d{{ - {q^2}} \over {4\pi {\varepsilon _0}d}}4πε0​d−q2​
  4. D
    −q24πε0d(3−12){{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {3 - {1 \over {\sqrt 2 }}} \right)4πε0​d−q2​(3−2​1​)
View written solutionFree

Correct answer: B

NEET 2022 Phase 2 Physics - Electrostatics Question 13 English Explanation

Work done $$ = {q_0}\,.\,({V_0} - {V_\infty })$$

$$ = \left\{ {{{3kq} \over d} + \left( {{{ - 3kq} \over d}} \right)} \right\}{q_0}$$

= Zero

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