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Two particles A and B of masses ' m ' and ' 2 m ' are suspended from massless springs of force constants K₁ and K₂ . During their oscillation, if their maximum velocities are equal, then the ratio of amplitudes of A and B is

Options

  1. AK₁ K₂
  2. BK₂ 2 K₁
  3. CK₂ K₁
  4. D2 K₁ K₂

Correct answer

B. K₂ 2 K₁

Step-by-step solution

We knows, maximum velocity V_ =A =A K m Given, gathered K₁, m₁=m, K₂, m₂=2 m (V_ )_A= (V_ )_B gathered aligned A_A K₁ M & =A_B K₂ 2 m A_A A_B & = K₂ 2 K₁ aligned

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