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MHT CET 2026 (18 Apr, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2026 (18 Apr, Shift 2)

Q9MHT CET 2026 · 18 APR · SHIFT 2Medium

Spring Systems

Three masses 100g, 300g and 500g are suspended at the end of a 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=100+300=400 gm = 100 + 300 = 400\text{ g}, T=3 sT = 3\text{ s}. After also removing 300 g: m=100 gm = 100\text{ g}.
  3. T′=3100400=3×12=1.5 sT' = 3\sqrt{\frac{100}{400}} = 3 \times \frac{1}{2} = 1.5\text{ s}
  4. So the answer is (b) 1.51.5 s.
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