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MHT CET 2026 (13 May, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2026 (13 May, Shift 1)

Q15MHT CET 2026 · 13 MAY · SHIFT 1Medium

Spring Systems

$S_1$ and $S_2$ are two identical springs. The frequency of oscillation of mass m is F. If one spring is removed, the frequency will become

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Answer: (d)

On displacement $x$ , one spring stretches and the other compresses; both push back, so $k_{eff} = 2k$ .
$F = \frac{1}{2\pi}\sqrt{\frac{2k}{m}}$ ; with one spring $F' = \frac{1}{2\pi}\sqrt{\frac{k}{m}}$ .
$F' = F/\sqrt{2}$ , so the answer is (d).

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