Question

If the angular momentum of an object increases, which of these could be true?

A) The object’s moment of inertia decreased.
B) The mass of the object decreased.
C) The angular velocity of the object decreased.
D) The moment of inertia increased.

Answer 1

D) The moment of inertia increased.

Answer 2

Relationship between angular momentum(L), angular velocity(ω) and moment of inertia(I) is :

L = Iω. 

If L increase, ω also increases hence moment of inertia increases.

Hence option D is correct.
Hope this helps!