Electrostatics Question 4
Question 4 - 2024 (27 Jan Shift 1)
An electric charge $10^{-6} \mu \mathrm{C}$ is placed at origin $(0,0) \mathrm{m}$ of $\mathrm{X}-\mathrm{Y}$ co-ordinate system. Two points $\mathrm{P}$ and $\mathrm{Q}$ are situated at $(\sqrt{3}, \sqrt{3}) \mathrm{m}$ and $(\sqrt{6}, 0) \mathrm{m}$ respectively. The potential difference between the points $P$ and $Q$ will be :
(1) $\sqrt{3} \mathrm{~V}$
(2) $\sqrt{6} \mathrm{~V}$
(3) $0 \mathrm{~V}$
(4) $3 \mathrm{~V}$
Show Answer
Answer: (3)
Potential difference $=\frac{K Q}{r_{1}}-\frac{K Q}{r_{2}}$
$r_{1}=\sqrt{(\sqrt{3})^{2}+(\sqrt{3})^{2}}$
$r_{2}=\sqrt{(\sqrt{6})^{2}+0}$
As $r_{1}=r_{2}=\sqrt{6} \mathrm{~m}$
So potential difference $=0$
