Two point dipoles of dipole moment $\vec{p}_1$ and $\vec{p}_2$ are at a distance $x$ from each other and…

Two point dipoles of dipole moment $\vec{p}_1$ and $\vec{p}_2$ are at a distance $x$ from each other and $\vec{p}_1 || \vec{p}_2$. The force between the dipoles is :
  1. $\frac{1}{4 \pi \varepsilon_0} \frac{4 p_1 p_2}{x^4}$
  2. $\frac{1}{4 \pi \varepsilon_0} \frac{3 p_1 p_2}{x^3}$
  3. $\frac{1}{4 \pi \varepsilon_0} \frac{6 p_1 p_2}{x^4}$
  4. $\frac{1}{4 \pi \varepsilon_0} \frac{8 p_1 p_2}{x^4}$

Solution

Force of interaction $\mathrm{F}=\frac{1}{4 \pi \epsilon_0} \cdot \frac{3 \mathrm{p}_1 \mathrm{p}_2}{\mathrm{r}^4}$

Asked in: JEE Main 2013 (09 Apr Online)

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