A) \[2k\,\frac{{{q}^{2}}}{{{r}^{2}}}\]
B) \[\frac{k{{q}^{2}}}{2{{r}^{2}}}\]
C) \[\sqrt{3}k\frac{{{q}^{2}}}{{{r}^{2}}}\]
D) \[\frac{k{{q}^{2}}}{\sqrt{2{{r}^{2}}}}\]
Correct Answer: C
Solution :
Force experienced by each charge \[F=\sqrt{F_{1}^{2}+F_{2}^{2}+2{{F}_{1}}{{F}_{2}}\cos \theta }\] \[F=\sqrt{{{\left( \frac{k{{q}_{2}}}{{{r}^{2}}} \right)}^{2}}+{{\left( \frac{k{{q}^{2}}}{{{r}^{2}}} \right)}^{2}}+2\left( \frac{k{{q}^{2}}}{{{r}^{2}}} \right)\left( \frac{k{{q}^{2}}}{{{r}^{2}}} \right)\cos 60{}^\circ }\] \[F=\frac{k{{q}^{2}}}{{{r}^{2}}}\sqrt{3}\] \[F=\frac{\sqrt{3}k{{q}^{2}}}{{{r}^{2}}}\]
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