If angular momentum is conserved in a system whose moment of inertia is decreased will its rotational kinetic energy be conserved?

Explanation

Given: `L=I omega=` Constant
Formula, Rotational K.E. is given by
`K=1/2 I omega^(2)=1/2 (I^(2)omega^(2))/I=1/2 . (L^(2))/I`
For constant L
`K prop 1/I`
So when the moment of inertia decreses, the rotational K.E. Increases. Hence rotationa K.E. is not conserved.