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MHT CET 2023 (13 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2023 (13 May, Shift 2)

Q53MHT CET 2023 · 13 MAY · SHIFT 2Medium

Spring Systems

A mass $M$ is suspended from a light spring. An additional mass $M_1$ added extends the spring further by a distance $x$ . Now, the combined mass will oscillate on the spring with period $T =$

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Answer: (b)

Extra mass $M_1$ gives extra extension $x$ : $k = \frac{M_1 g}{x}$ .
Total mass $M + M_1$ : $T = 2\pi\sqrt{\frac{M+M_1}{k}} = 2\pi\sqrt{\frac{(M+M_1)x}{M_1 g}}$
So the answer is (b).

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