A) \[F\]
B) \[FK\text{/}{{\text{ }\!\!\varepsilon\!\!\text{ }}_{\text{0}}}\]
C) \[\text{F/K}{{\text{ }\!\!\varepsilon\!\!\text{ }}_{\text{0}}}\]
D) \[\text{F/K}\]
Correct Answer: D
Solution :
Force in air \[{{F}_{a}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] Force in dielectric medium \[{{F}_{m}}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\,\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] or \[{{F}_{m}}=\frac{1}{K}\left( \frac{1}{4\pi {{\varepsilon }_{0}}}\,\frac{{{q}_{1}}{{q}_{2}}}{{{e}^{2}}} \right)\] \[=\frac{F}{K}\] (\[\because \] r is constant in both conditions )
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