Question

# A circular disc $$A$$ and a ring $$B$$ have same mass and same radius. If they are rotated with the same angular speed about their own axis, then

A
A has less moment of inertia than B
B
A has less rotational kinetic energy than B
C
A and B have the same angular momentum
D
A has greater angular momentum than B
E
A has the same moment of inertia as that of B

Solution

## The correct options are A $$A$$ has less rotational kinetic energy than $$B$$ B $$A$$ has less moment of inertia than $$B$$Moment of inertia of disc$$I_{disc} = \dfrac {MR^{2}}{2}$$Moment of inertia of ring $$I_{ring} = MR^{2}$$Therefore, $$A$$ has less moment of inertia than $$B$$ because of which $$A$$ has less rotational kinetic energy than $$B$$.Physics

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