A light metal rod of length \(L\) is pivoted at one end. A hollow sphere filled with water has mass \(M\) and radius \(R<L\) is attached to the free end of the rod. The rod-sphere system performs angular SHM in vertical plane after being released from angle \( \theta \) with vertical as shown in the figure. Consider two cases

Case-1 : the water in the sphere is at \(5^\circ C\)

Case-2 : the water in the sphere is at \(-2^\circ C\)

Which of the following statements are true? [Neglect the expansion of volume of water on freezing]

A) Restoring torque in case 1 = Restoring torque in case 2.

B) Restoring torque in case 1 < Restoring torque in case 2.

C) Angular frequency for case 1 > Angular frequency for case 2.

D) Angular frequency for case 1 < Angular frequency for case 2.

E) Angular frequency for case 1 = Angular frequency for case 2.

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