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Two identical electric point dipoles have dipole moments \(\overrightarrow{p_1}=p \hat{i}\) and \(\overrightarrow{p_2}=-…

Q1

Two identical electric point dipoles have dipole moments \(\overrightarrow{p_1}=p \hat{i}\) and \(\overrightarrow{p_2}=-p \hat{i}\) 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:

[JEE Main 2020, 6 Sep (Shift 2)]

a

\(\frac{p}{a} \sqrt{\frac{1}{\pi \in_0 m a}}\)

b

\(\frac{p}{a} \sqrt{\frac{1}{2 \pi \in_0 m a}}\)

c

\(\frac{p}{a} \sqrt{\frac{2}{\pi \in_0 m a}}\)

d

\(\frac{p}{a} \sqrt{\frac{3}{2 \pi \in_0 m a}}\)

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