' $F$ ' is the force between the two identical charged particles placed at a distance ' $\mathrm{Y}$ ' from…

' $F$ ' is the force between the two identical charged particles placed at a distance ' $\mathrm{Y}$ ' from each other. If the distance between the charges is reduced to half the previous distance, then force between them becomes
  1. $\frac{F}{4}$
  2. $4 \mathrm{~F}$
  3. $2 \mathrm{~F}$
  4. $\frac{\mathrm{F}}{2}$

Solution

$\begin{aligned} & \mathrm{F}=\frac{1}{4 \pi \varepsilon_0} \cdot \frac{\mathrm{q}^2}{\mathrm{r}^2} \\ & \therefore \frac{\mathrm{F}_2}{\mathrm{~F}_1}=\left(\frac{\mathrm{r}_1}{\mathrm{r}_2}\right)^2=(2)^2=4 \\ & \therefore \mathrm{F}_2=4 \mathrm{~F}_1 \end{aligned}$ .

Asked in: MHT CET 2021 (21 Sep Shift 1)

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