Two bodies P and Q of equal mass are suspended from separate massless springs of force constants k₁ and k₂, respectively. If their maximum velocities are equal, the ratio of amplitude of P to Q is:
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Question

Two bodies P and Q of equal mass are suspended from separate massless springs of force constants k₁ and k₂, respectively. If their maximum velocities are equal, the ratio of amplitude of P to Q is:

Options

G1 Physics · Accepted Answer

For a mass-spring oscillator, vₘₐₓ=A√(k/m). Equal masses and equal maximum speeds imply amplitude of P × √k₁ = amplitude of Q × √k₂. Therefore amplitude ratio P:Q=√(k₂/k₁). Correct answer: B.