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
JEE MAIN 2020, Medium
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Using energy conservation
$KE _{ i }+ PE _{ i }= KE _{ f }+ PE _{ f }$
$O +\frac{2 KP }{ a ^{3}} \times P =\frac{1}{2} mv ^{2} \times 2+0$
$V =\sqrt{\frac{2 P ^{2}}{4 \pi \varepsilon_{0} a ^{3} m }}=\frac{ P }{ a } \sqrt{\frac{1}{2 \pi \varepsilon_{0} am }}$
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