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Spring Systems question from NEET 2025

Q24NEET 2025Easy

Spring Systems

Two identical point masses $P$ and $Q$ , suspended from two separate massless springs of spring constants $k_1$ and $k_2$ , respectively, oscillate vertically. If their maximum speeds are the same, the ratio ( $A_Q/A_P$ ) of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is

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Answer: (b)

$v_{max} = A\sqrt{\frac{k}{m}}$ ; equal $v_{max}$ and $m$ give $A \propto \frac{1}{\sqrt{k}}$ .
$\frac{A_Q}{A_P} = \sqrt{\frac{k_1}{k_2}}$ (P has $k_1$ , Q has $k_2$ ).
So the answer is (b) $\sqrt{\frac{k_1}{k_2}}$ .

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