JEE Mains · Physics · STD 12 - 1. Electric charges and fields
A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field \(\vec{E}_1=E_0\hat{x}\). If another electric field \(\vec{E}_2=2E_0(\hat{y}+\hat{z})\) is introduced to the system, what will be the percentage change in the frequency of the oscillation (approximate)?
- A \(73\%\)
- B \(63\%\)
- C \(83\%\)
- D \(53\%\)
Answer & Solution
Correct Answer
(A) \(73\%\)
Step-by-step Solution
Detailed explanation
The frequency of oscillation of a rigid dipole in an electric field is given by \(f = \dfrac{1}{2\pi} \sqrt{\dfrac{pE}{I}}\), where \(p\) is the dipole moment, \(E\) is the magnitude of the electric field, and \(I\) is the moment of inertia. This implies \(f \propto \sqrt{E}\).…
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