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MHT CET 2026 (12 May, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2026 (12 May, Shift 1)

Q17MHT CET 2026 · 12 MAY · SHIFT 1Medium

Spring Systems

A simple harmonic oscillator having four identical springs (as shown in figure) has a time period T1T_1. Another similar simple harmonic oscillator of the same mass mm but the four identical springs with spring constants 2k2k has a time period T2T_2, then T1T2\frac{T_1}{T_2} is

Figure

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Answer: (c)

  1. The arrangement is the same in both cases, so keff∝kk_{eff} \propto k of each spring.
  2. T∝1kT \propto \frac{1}{\sqrt{k}}: T1T2=2kk=2\frac{T_1}{T_2} = \sqrt{\frac{2k}{k}} = \sqrt{2}
  3. So the answer is (c) 2:1\sqrt{2} : 1.
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