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MHT CET 2024 (4 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2024 (4 May, Shift 2)

Q40MHT CET 2024 · 4 MAY · SHIFT 2Medium

Spring Systems

A mass ' mm ' attached to a spring oscillates with a period of 3 second. If the mass is increased by 0.6 kg, the period increases by 3 second. The initial mass ' mm ' is equal to

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Answer: (b)

  1. Period goes from 3 s to 6 s. T∝mT \propto \sqrt{m}: (63)2=m+0.6m\left(\frac{6}{3}\right)^2 = \frac{m + 0.6}{m}.
  2. 4m=m+0.6⇒m=0.2 kg4m = m + 0.6 \Rightarrow m = 0.2\text{ kg}
  3. So the answer is (b) 0.2 kg.
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