Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants K ₁ and K ₂ respectively. The two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of

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Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants K ₁ and K ₂ respectively. The two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of B to that of A is

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Correct answer: C. K ₁ ~K ₂

If the maximum velocities of the bodies are equal, then their total energy would also be the same. If A ₁, ~A ₂ are the amplitudes of A and B respectively, then aligned & 1 2 ~K ₁ ~A ₁^2= 1 2 ~K ₂ ~A ₂^2 & ~A ₂ ~A ₁ = K ₁ ~K ₂ aligned

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants K ₁ and K ₂ respectively. The two bodies oscillate vertically such that their maximum velocities are equal. The ratio of the amplitude of B to that of A is

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