Verified Solution • 2025–26 Session moderate

QNEET-2022-Ph-549: NEET 2022 Physics - Class 12 NEET-2022-Ph-549 Solution: Six charges $+q -q +q -q +q -q$ are fixed at the corners of a …

Six charges

+q -q +q -q +q -q

are fixed at the corners of a hexagon of side d as shown in the figure. The work done in bringing a charge

q_0

to the centre of the hexagon from infinity is (

\epsilon_0

- permittivity of free space)

\frac{q^2}{4\pi\epsilon_0 d}(6-\frac{1}{\sqrt{2}})

Zero

\frac{q^2}{4\pi\epsilon_0 d}

\frac{q^2}{4\pi\epsilon_0 d}(3-\frac{1}{\sqrt{2}})

A ${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {6 - {1 \over {\sqrt 2 }}} \right)$ 4 � _ 0 _ d _ q 2 _ ( 6 _ 2 _ 1 _ )
B Zero
C ${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}$ 4 � _ 0 _ d _ q 2 _
D ${{ - {q^2}} \over {4\pi {\varepsilon _0}d}}\left( {3 - {1 \over {\sqrt 2 }}} \right)$ 4 � _ 0 _ d _ q 2 _ ( 3 _ 2 _ 1 _ )

Step-by-Step Verified Solution

Work done = q 0 . ( V 0 _ V � ) = { 3 k q d + ( _ 3 k q d ) } q 0 = Zero