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Two bodies A and B of equal mass hang from two massless springs of spring constants k₁ and k₂ respectively. They oscillate vertically with equal amplitudes. The ratio of the maximum velocity of A to that of B is

Asked in JEE Main 29th Jan 2nd Shift 2025 · Single spring

• (1) (k₂)/(k₁)
• (2) (k₁)/(k₂)
• (3) √(k₁)/(k₂)
• (4) √(k₂)/(k₁)

Step-by-step solution

Why the other options are wrong

• (1) Takes vₘₐₓ∝ k and inverts it as well.
• (2) Takes vₘₐₓ∝ k, forgetting the square root in ω=√k/m.
• (4) Inverts the ratio.

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