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NEET 2007

Exam: NEET
Year: 2007
Subject: Physics
Chapter: Electrostatics

NEET 2007 · Physics · Electrostatics

Charges +q and -q are placed at points A and B respectively which...

Charges

+q

and

-q

are placed at points

\mathrm{A}

and

\mathrm{B}

respectively which are a distance

2 L

apart,

\mathrm{C}

is the midpoint between

\mathrm{A}

and

\mathrm{B}

. The work done in moving a charge

+\mathrm{Q}

along the semicircle CRD is Charges +q and -q are placed at points A and B respectively which are a distance 2 L apart, C is the midpoint between A

Charges +q and -q are placed at points A and B respectively which are a distance 2 L apart, C is the midpoint between A

Options

A $\frac{q Q}{2 \pi \varepsilon_0 L}$
B $\frac{q Q}{6 \pi \varepsilon_0 L}$
C $\frac{q Q}{3 \pi \varepsilon_0 L}$
D $\frac{q Q}{4 \pi \varepsilon_0 L}$

Correct answer

C. $\frac{q Q}{3 \pi \varepsilon_0 L}$

Step-by-step solution

W=\Delta U=\mathrm{Q}\left(V_D-V_C\right)

where

V_c=0

=Q\left[\frac{q}{4 \pi \varepsilon_0(3 L)}-\frac{q}{4 \pi \varepsilon_0(L)} .0\right]

\frac{q Q}{3 \pi \varepsilon_0 L}

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