Question

The angular momentum of a particle rotating with an angular velocity $\omega$ distant r from a given origin is I. If the origin is shifted by 2r, then the new angular momentum of the particle with same angular velocity will be

• A. 2I
• B. 9I
• C. 4I
• D. 3I

Answer 1

The correct option is B 9I

The angular momentum (L) of a particle of mass m distant r from a fixed origin, rotating with an angular velocity $\omega$ is given by $L=I\omega =m{r}^2\omega$
If the distance is increased by 2r, then the total distance from the fixed orgin will be 3r
Thus, angular momentum increases by 9 times
Thus, the correct option is b