Physics Electrostatics Potential & Capacitance JEE Main 2023 - ( Electrostatics ) MCQ (Single Correct)

A dipole comprises of two charged particles of identical magnitude q and opposite in nature. The mass m of the positive charged particle is half of the 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 ; in such a way that dipole axis makes a very small angle with the electric field, . The angular frequency of the oscillations of the dipole when released is given by:

A
B
C
D

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The correct answer is:
A

The data given is

=distance between the charges

q = charge

m =mass of the positive charge

2m=mass of negative charge

The moment of inertia of the system is

The angular frequency can be written as

….(i)

Substituting the value of moment of inertia in the equation (i) we get

The value of the dipole moment is

p = q

Hence, the angular frequency becomes

This question was given bonus by NTA as none of the options matched in the original paper.

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