A dipole comprise of two charged particles of identical magnitude q and opposite in nature. The mass ‘m’ of the positive charged particle is one third of mass of the negative charged particle the two charges are separated by a distance ‘l’. If the dipole is placed in a uniform electric field $\bar{E}$ , in such a way that dipole axis makes a very small angle with the electric field $\bar{E}$ . The angular frequency of the oscillations of the dipole when released is

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$\sqrt{\frac{4 E q}{m l}}$

$\sqrt{\frac{8 q E}{3 m l}}$

$\sqrt{\frac{3 q E}{m l}}$

$\sqrt{\frac{4 E q}{3 m l}}$

answer is A.

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Detailed Solution

$I = m {(\frac{l}{4})}^{2} + \frac{m}{3} {(\frac{3 l}{4})}^{2} w = \sqrt{\frac{P E}{I}}$

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