Question

Two point charges placed at a distance r, in the air experience a certain force, then the distance at which they will experience the sme in the medium of dielectric the same force in the medium of dielectric constant x is

• A. $xr$
• B. $\frac{r}{x}$
• C. $\frac{r}{\sqrt{x}}$
• D. $r\sqrt{X}$

Answer 1

The correct option is C $\frac{r}{\sqrt{x}}$

$F_a=F_m;\frac{1}{4\pi {ϵ}_0}\frac{q_1{q}_2}{r^2}=\frac{1}{4\pi {ϵ}_{0}x}\frac{q_1{q}_2}{d^2}$
$d^2=\frac{r^2}{x};d=\frac{r}{\sqrt{x}}$