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NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice

A hollow vertical cylinder of radius R and height h has a smooth internal surface. A small particle is held in contact with the inner side of the upper rim at a point P . It is given a horizontal speed v 0 tangential to the rim. It leaves the lower rim at point Q , vertically below P . The number of revolutions made by the particle will be [Take acceleration due to gravity g ]

Options

  1. Ah 2 π R
  2. Bv 0 h h 2 g
  3. Cv 0 2 π R 2 h g
  4. Dv 0 π g 2 g h 2 R

Correct answer

C. v 0 2 π R 2 h g

Step-by-step solution

A hollow vertical h = 1 2 gt 2 n 2 π R = V 0 t n = V 0 2 π R 2 h g

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