Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Consider the following statements regarding the moment of inertia and radius of gyration of a rigid body: (A) Moment of inertia is independent of the magnitude of the angular velocity of the body. (B) The radius of gyration depends on the choice of the axis of rotation. (C) The moment of inertia of a rigid body is a scalar constant that does not change when the axis of rotation is shifted. (D) The SI unit of moment of inertia is \( \text{kg}\cdot\text{m}^2 \) and its dimensional formula is \( [\text{M}\text{L}^2\text{T}^0] \). Choose the correct answer from the options given below:

1. A
   (A) and (C) only
2. B
   (A), (B) and (D) only
3. C
   (B), (C) and (D) only
4. D
   (A), (B), (C) and (D)