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MHT CET 2026 (15 Apr, Shift 2) · Critical Speed & Looping

Critical Speed & Looping question from MHT CET 2026 (15 Apr, Shift 2)

Q2MHT CET 2026 · 15 APR · SHIFT 2Easy

Critical Speed & Looping

A bucket containing water is revolved in vertical circle of radius r. To prevent the water from falling down, the period of revolution required is (gg = gravitational acceleration)

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Answer: (b)

  1. Water stays in if at the top mv2r≥mg⇒v≥gr\frac{mv^2}{r} \ge mg \Rightarrow v \ge \sqrt{gr}
  2. Period T=2πrv≤2πrgr=2πrgT = \frac{2\pi r}{v} \le \frac{2\pi r}{\sqrt{gr}} = 2\pi\sqrt{\frac{r}{g}}
  3. So the answer is (b) 2πrg2\pi\sqrt{\frac{r}{g}}.
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