Two identical electric point dipoles have dipole moments $\overrightarrow{p}_{1}= p\hat i$ and $\overrightarrow{p}_{2}=- p\hat i$ 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 arc infinitely far apart is
  • A$\frac{ p }{ a } \sqrt{\frac{1}{\pi \varepsilon_{0} ma }}$
  • B$\frac{ p }{ a } \sqrt{\frac{3}{2 \pi \varepsilon_{0} ma }}$
  • C$\frac{ p }{ a } \sqrt{\frac{1}{2 \pi \varepsilon_{0} ma }}$
  • D$\frac{p}{a} \sqrt{\frac{2}{\pi \varepsilon_{0} m a}}$
JEE MAIN 2020, Medium
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