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MHT CET 2024 (2 May, Shift 1) · Spring Systems

Spring Systems question from MHT CET 2024 (2 May, Shift 1)

Q41MHT CET 2024 · 2 MAY · SHIFT 1Medium

Spring Systems

Three masses 500 g,300 g500\text{ g}, 300\text{ g} and 100 g are suspended at the end of spring as shown in figure and are in equilibrium. When the 500 g mass is removed, the system oscillates with a period of 3 second. When the 300 g mass is also removed it will oscillate with a period of

Figure

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Answer: (b)

  1. T∝mT \propto \sqrt{m} for the same spring.
  2. After removing 500 g: m=400 gm = 400\text{ g}, T=3 sT = 3\text{ s}. After also removing 300 g: m=100 gm = 100\text{ g}.
  3. T′=3100400=1.5 sT' = 3\sqrt{\frac{100}{400}} = 1.5\text{ s}
  4. So the answer is (b) 1.5 s.
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