Two identical electric | Electrostatics

JEE MAIN 2020

09-06-2020 S2

Question

Two identical electric point dipoles have dipole moments $\overline{\mathrm{p}_1}=\mathrm{p} \hat{\mathrm{i}}$ and $\overline{\mathrm{p}_2}=\mathrm{p} \hat{\mathrm{i}}$ and are held on the $x$ axis at distance ' $a$ ' from each other. When released, they move along the x-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is ' m ', their speed when they are infinitely far apart is

Select the correct option:

$\frac{p}{a} \sqrt{\frac{1}{2 \pi \varepsilon_0 m a}}$

$\frac{p}{a} \sqrt{\frac{2}{\pi \varepsilon_0 m a}}$

$\frac{p}{a} \sqrt{\frac{1}{\pi \varepsilon_0 m a}}$

$\frac{p}{a} \sqrt{\frac{3}{2 \pi \varepsilon_0 m a}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution