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MHT CET 2023 (9 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2023 (9 May, Shift 2)

Q45MHT CET 2023 · 9 MAY · SHIFT 2Easy

Spring Systems

A spring has a certain mass suspended from it and its period for vertical oscillations is ' $T_1$ '. The spring is now cut in to two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations is now ' $T_2$ '. The ratio $T_1/T_2$ is

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Answer: (b)

Half spring: $k' = 2k$ .
$\frac{T_1}{T_2} = \sqrt{\frac{k'}{k}} = \sqrt{2}$ .
So the answer is (b) $\sqrt{2}$ .

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