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JEE Advanced Paper 2 2024 Paper

SECTION 2

• This section contains THREE (03) questions.
• Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is(are)correct answer(s).

Question : 5

Total: 51

A small electric dipole

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0, 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 σ is uniformly distributed on the spherical shell. The dipoleis initially oriented at a small angle θ 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?
[ ε0 is the permittivity of free space.]

The dipole will undergo small oscillations at any finite value of r.
The dipole will undergo small oscillations at any finite value of r > R.
The dipole will undergo small oscillations with an angular frequency of √‌
2σp0
E0I
at r=2R
The dipole will undergo small oscillations with an angular frequency of √‌
σp0
100E0I
at r=10R

Validate

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