A small electric dipole , having a moment of inertia I about its center, is kept at a distance r from the center of a spherical shell of radius R. The surface charge density is uniformly distributed on the spherical shell. The dipole is initially oriented at a small angle as shown in the figure. While staying at a distance r, the dipole is free to rotate about its center.
If released from rest, then which of the following statement(s) is(are) correct?
[ is the permittivity of free space.]
If released from rest, then which of the following statement(s) is(are) correct?
[ is the permittivity of free space.]
- A.The dipole will undergo small oscillations at any finite value of r.
- B.The dipole will undergo small oscillations at any finite value of r > R.
- C.The dipole will undergo small oscillations with an angular frequency of at r = 2R.
- D.The dipole will undergo small oscillations with an angular frequency of at r = 10R.
Show answer
Correct options: B, D
[JEE Advanced 2024 · Paper 2]