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JEE Main202529 Jan 2025Evening ShiftPhysicsOscillationsActual

Two bodies A and B of equal mass are suspended from two massless springs of spring constant k₁ and k₂ , respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the maximum velocity of B is

Options

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

Correct answer

B. k ₁ k ₂

Step-by-step solution

aligned & V ₁= A ₁ ₁ & ~V ₂= A ₂ ₂ & ~A ₁= A ₂ & ~V ₁ ~V ₂ = ₁ ₂ = K ₁ ~m ~K ₂ ~m & ~V ₁ ~V ₂ = K ₁ ~K ₂ aligned

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