Q. Two identical charges repel each other with a force equal to 10 mg wt when they are 0.6 m apart in air ( $g = 10{ms}^{- 2})$. The value of each charge is

A) 2mC
B) $2 \times 10^{- 7}$ C
C) 2 nC
D) $2\mu$ C
Explanation

(d) Coulomb force is given by
$F = \frac{1}{4\pi\varepsilon_{0}}\frac{q_{1}q_{2}}{r^{2}}$
$\therefore\left( 10 \times 10^{- 3} \right) \times 10 = \frac{(9 \times 10^{9}) \times q^{2}}{(0.6)^{2}}$
$(\because q_{1} = q_{2} = q)$
or $q^{2} = \frac{10^{- 1} \times 0.36}{9 \times 10^{9}}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 4 \times 10^{- 12}$
$\ \ \ \ \ \ \ \ \ \ \ q = 2 \times 10^{- 6}\complement = 2\mu\complement$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.