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JEE Main2003PhysicsOscillationsActual

Two particles A and B of equal masses are suspended from two massless springs of spring constant k ₁ and k ₂ , respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplitude of A and B is

Options

  1. Ak ₁ k ₂
  2. Bk ₂ k ₁
  3. Ck ₂ k ₁
  4. Dk ₁ k ₂

Correct answer

C. k ₂ k ₁

Step-by-step solution

V _ = A = m ^2 I = k ^2= k m = k m K or ₁ ₂ = k ₁ k ₂ V _ A = V _ B ( k ₁ ~m ) ( A ₁ )= ( k ₂ ~m ) ( A ₂ ) A ₁ ~A ₂ = k ₂ k ₁

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