Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Physics
Chapter
Rotational Motion

JIPMER 2005 · Physics · Rotational Motion

A particle is kept at rest at the top of a sphere of diameter 42 m...

A particle is kept at rest at the top of a sphere of diameter 42 m . When disturbed slightly, it slides down. At what height hh from the bottom, the particle will leave the sphere?A particle is kept at rest at the top of a sphere of diameter 42 m . When disturbed slightly, it slides down. At what

Options

  1. A14 m
  2. B28 m
  3. C35 m
  4. D7 m

Correct answer

C. 35 m

Step-by-step solution

The condition of slipping by particle from top is given by A particle is kept at rest at the top of a sphere of diameter 42 m . When disturbed slightly, it slides down. At what cos⁡θ=2/3\cos \theta=2 / 3 From the figure, h=rcos⁡θ=21×23=14 mh=r \cos \theta=21 \times \frac{2}{3}=14 \mathrm{~m} Therefore, the required height at which the particle will leave the sphere is =21+h=21+14=35 m=21+h=21+14=35 \mathrm{~m}
Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere… NEET 2026The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number… NEET 2026A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring… NEET 2026A thin horizontal disc is rotating about a vertical axis passing through its fixed centre… NEET 2026The Sun rotates around its centre once in 27 days. What will be the period of revolution… NEET 2025A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the… NEET 2025The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in… NEET 2024A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its… NEET 2024 Full Rotational Motion list All JIPMER PYQs