Question

A system of particle has rotational K.E. This system is isolated, but moment of inertia (I) may vary. Then the graph between K.E. and I is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$K.E=\frac{1}{2}I{w}^2=\frac{1}{2}\frac{I^2{w}^2}{I}=\frac{L^2}{2I}$
$(K.E)\left(I\right)=L^2$
For isolated system $\tau =0$ and $L$ is constant.
$(K.E)\left(I\right)=C$