PYQ Adv 2023 P1 Q13

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Two point-like objects of masses 20 gm and 30 gm are fixed at the two ends of a rigid massless rod of length 10 cm. This system is suspended vertically from a rigid ceiling using a thin wire attached to its center of mass, as shown in the figure. The resulting torsional pendulum undergoes small oscillations. The torsional constant of the wire is 1.2 Γ— 10βˆ’8 N m radβˆ’1. The angular frequency of the oscillations in 𝑛 Γ— 10βˆ’3 rad sβˆ’1. The value of 𝑛 is _____.


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