Q. Three equal charges are placed on the three corners of a square. If the force between $q_{1}$ and $q_{2}$ is $F_{12}$ and that between $q_{1}$ and $q_{3}$ is $F_{13}$, the ratio of magnitudes $\frac{F_{12}}{F_{13}}$ is

A) $1/2$
B) 2
C) $1/\sqrt{2}$
D) $\sqrt{2}$
Explanation

(b) $F_{12} = \frac{1}{4\pi\varepsilon_{0}}.\frac{q^{2}}{a^{2}}$ and $F_{13} = \frac{1}{4\pi\varepsilon_{0}}.\frac{q^{2}}{\left( a\sqrt{2} \right)^{2}\ } \Rightarrow \frac{F_{12}}{F_{13}} = 2$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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