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JEE Advanced2025PhysicsOscillationsActual

As shown in the figures, a uniform rod O O^ of length l is hinged at the point O and held in place vertically between two walls using two massless springs of same spring constant. The springs are connected at the midpoint and at the top-end (O^ ) of the rod, as shown in Fig. 1 and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is f₁ . On the other hand, if both t

Options

  1. A2
  2. B2
  3. C5 2
  4. D2 5

Correct answer

C. 5 2

Step-by-step solution

aligned & ML ^2 3 + K 2 2 + K =0 & + 15 4 k M =0 & =- ( 15 4 k M ) & ₁= 15 ~K 4 M aligned 1 3 ML ^2 +2 ~K ~L 2 ~L 2 =0 aligned & + 3 2 K M =0 & =- 3 2 K M & ₂= 3 2 K M & ₁ ₂ = 15 4 2 3 = 5 2 aligned

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