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MHT CET 2025 (20 Apr, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2025 (20 Apr, Shift 2)

Q28MHT CET 2025 · 20 APR · SHIFT 2Medium

Spring Systems

A mass $x$ gram is suspended from a light spring. It is pulled in downward direction and released so that mass performs S.H.M. of period T. If mass is increased by Y gram, the period becomes $\frac{4T}{3}$ . The ratio of $Y/x$ is

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Answer: (a)

$T \propto \sqrt{m}$ : $\left(\frac{4}{3}\right)^2 = \frac{x + Y}{x}$ .
$\frac{16}{9} = 1 + \frac{Y}{x} \Rightarrow \frac{Y}{x} = \frac{7}{9}$
So the answer is (a) $7 : 9$ .

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