Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2016PhysicsRotational MotionActual

A solid sphere of mass, m and radius, R is rotating about its diameter. A solid cylinder of the same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation E sphere E cylinder will be

Options

  1. A2 : 3
  2. B1 : 5
  3. C1 : 4
  4. D3 : 1

Correct answer

B. 1 : 5

Step-by-step solution

E sphere E cylinder = 1 2 2 5 m R 2 ω 2 1 2 1 2 m R 2 2 ω 2 = 1 5 .

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 B of radius r 2026The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number of revolutions completed by the flywheel during this time is : 2026A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring (in x - y plane) with centre ' C ' as shown in figure. The moment of inertia of the ring abou 2026A thin horizontal disc is rotating about a vertical axis passing through its fixed centre O . Its angular momentum is L_A and L_B computed about points A and B , respectively, with 2026The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assum 2025A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of th 2025The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in figure. The radius of the sphere is 5 x 7 ~m , then the value of x is: 2024A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its linear speed is v in the direction shown, which one of the following options is correct ( 2024 Full Rotational Motion list All NEET PYQs