, The dipole will undergo small oscillations at any finite value of .

, The dipole will undergo small oscillations at any finite value of .

and The dipole will undergo small oscillations with an angular frequency of at

. ONE OR MORE THAN ONE of these four option(s) is(are) correct answer(s). • For each question, choose the option(s) corresponding to (all) the correct answer(s) • Answer to each question will be evaluated according to the following marking scheme: Full Marks : ONLY if (all) the correct option(s) is(are) chosen; Partial Marks : If all the four options are correct but ONLY three options are chosen; Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both of which are correct; Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a correct option; Zero Marks : 0 If unanswered; Negative Marks : -2 In all other cases. A small electric dipole , having a moment of inertia / about its center, is kept at a distance from the center of a spherical shell of radius . 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 , 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.] The dipole will undergo small oscillations with an angular frequency of at