Physics Circle home Student Login

Home›Chapters›Rotational Motion PYQs›Rotational Kinetic Energy, Work & Power›Question 52

NEET 2005 (AIPMT) · Rotational Kinetic Energy, Work & Power

Rotational Kinetic Energy, Work & Power question from NEET 2005 (AIPMT)

Q52NEET 2005 · AIPMTEasy

Rotational Kinetic Energy, Work & Power

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio

Show answer and solution

Answer: (c)

  1. K=12Iω2K = \frac{1}{2}I\omega^2; equal KK gives ω∝1I\omega \propto \frac{1}{\sqrt{I}}
  2. ω1ω2=2II=2\frac{\omega_1}{\omega_2} = \sqrt{\frac{2I}{I}} = \sqrt{2}
  3. So the answer is (c) 2:1\sqrt{2} : 1.
Report a mistake

More questions on Rotational Kinetic Energy, Work & Power