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AP EAMCET · PHYSICS · Electrostatics

Two particles of charges 4 nC and Q are kept in air with a separation of 10 cm between them. If the electrostatic potential energy of the system is \(1.8 \mu \mathrm{~J}\). Then \(\mathrm{Q}=\)

  1. A 12 nC
  2. B 9 nC
  3. C 5 nC
  4. D 7 nC
Verified Solution

Answer & Solution

Correct Answer

(C) 5 nC

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & U=1.8 \mu J, r=10 \mathrm{~cm} \\ & \therefore U=\frac{\mathrm{kQ}_1 Q_2}{r} \\ & \Rightarrow 1.8 \times 10^{-6}=\frac{9 \times 10^9 \times 4 \times 10^{-9} \times Q}{10 \times 10^{-2}} \\ & \therefore \quad Q=5 \mathrm{nC}\end{aligned}\)
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