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AIIMS 201826 May
Exam
AIIMS
Year
2018
Date
26 May
Subject
Physics
Chapter
Work, Power and Energy

AIIMS 2018 · 26 May · Physics · Work, Power and Energy

With what minimum speed v must a small ball should be pushed inside...

With what minimum speed vv must a small ball should be pushed inside a smooth vertical tube from a height hh, so that it may reach the top of the tube? Radius of the tube is RR. (Assume radius of cross-section of tube is negligible in comparison to RR.) With what minimum speed v must a small ball should be pushed inside a smooth vertical tube from a height h , so that it

Options

  1. A2g(h+2R)\sqrt{2 g(h+2 R)}
  2. B52R\frac{5}{2} R
  3. Cg(5R−2h)\sqrt{g(5 R-2 h)}
  4. D2g(2R−h)\sqrt{2 g(2 R-h)}

Correct answer

D. 2g(2R−h)\sqrt{2 g(2 R-h)}

Step-by-step solution

For minimum vv, velocity of ball at the topmost point will be zero. Byconservationof energy, 12mv2=mg(2R−h)\frac{1}{2} m v^2=m g(2 R-h) v=2g(2R−h)v=\sqrt{2 g(2 R-h)}
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