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 c

Question

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 E → ; in such a way that dipole axis makes a very small angle with the electric field, E → . The angular frequency of the oscillations of the dipole when released is given by:

TestHub · Accepted Answer

The data given is l = distance between the charges q = charge m = mass of the positive charge 2 m = mass of negative charge The moment of inertia of the system is I = m × 2 m m + 2 m l 2 = 2 m l 2 3 The angular frequency can be written as ω = p E I . . . ( i ) Substituting the value of moment of inertia in the equation (i) we get ω = p E 2 m l 2 3 = 3 p E 2 m l 2 The value of the dipole moment is p = q l Hence, the angular frequency becomes ω = 3 q E 2 m l This question was given bonus by NTA as none of the options matched in the original paper.

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