Physics Circle home Student Login

Home›Chapters›Rotational Motion PYQs›Angular Momentum & its Conservation›Question 10

MHT CET 2026 (18 Apr, Shift 2) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from MHT CET 2026 (18 Apr, Shift 2)

Q10MHT CET 2026 · 18 APR · SHIFT 2Medium

Angular Momentum & its Conservation

A kathak dancer is standing on horizontal surface with folded hands. In the begining dancer is rotating about his central axis and his kinetic energy is 'K' at that time. The kathak dancer now stretches his arms so that the moment of inertia of the dancer becomes three times and the angular velocity becomes one-third. The kinetic energy of the dancer now is

Show answer and solution

Answer: (b)

  1. K=12Iω2K=\frac12I\omega^2
  2. K′=12(3I)(ω3)2=13⋅12Iω2K'=\frac12(3I)\left(\frac{\omega}{3}\right)^2=\frac13\cdot\frac12I\omega^2
  3. K′=K3K'=\frac{K}{3}
  4. So the answer is (b) K3\frac{K}{3}.
Report a mistake

More questions on Angular Momentum & its Conservation