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Angular frequency of small oscillations of a dipole in a uniform field

This type of question, asked 2 times: 6 Apr 2023, 4 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    6 Apr 2023

    103
    A dipole comprises of two charged particles of identical magnitude qq and opposite in nature. The mass ' mm ' of the positive charged particle is half of the mass of the negative charged particle. The two charges are separated by a distance ' ll '. If the dipole is placed in a uniform electric field ' E→\overrightarrow{E} '; such a way that dipole axis makes a very small angle with the electric field, ' E→\overrightarrow{E} '. The angular frequency of the oscillations of the dipole when released is given by:

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  2. Question 2

    4 Apr 2026 S2

    11
    A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field E→1=E0x^{\overrightarrow{E}}_{1}=E_{0}\widehat{x}. If another electric field E→2=2E0(y^+z^){\overrightarrow{E}}_{2}= 2E_{0}(\widehat{y}+\widehat{z}) is introduced to the system, what will be the percentage change in the frequency of the oscillation (approximate) ?

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