A) \[\frac{{{L}^{2}}}{K}\]
B) \[\frac{L}{2K}\]
C) \[\frac{L}{2{{K}^{2}}}\]
D) \[\frac{L}{2K}\]
Correct Answer: B
Solution :
Angular momentum of a rigid body about a fixed axis is given by \[L=I\omega \] where I is moment of inertia and \[\omega \] is angular velocity about that axis. Kinetic energy of rigid body is given by \[K=\frac{1}{2}I{{\omega }^{2}}\] \[\therefore \] \[K=\frac{1}{2I}{{(I\omega )}^{2}}=\frac{{{L}^{2}}}{2I}\] \[\Rightarrow \] \[I=\frac{{{L}^{2}}}{2K}\]
You need to login to perform this action.
You will be redirected in
3 sec
