Assertion: The moment of inertia of a rigid body depends only on the mass of the body, its shape and size. Reason: Moment of inertia I = MR2, where M is the mass of the body and R is the radius vector.

Question

Assertion: The moment of inertia of a rigid body depends only on the mass of the body, its shape and size. Reason: Moment of inertia I = MR2, where M is the mass of the body and R is the radius vector. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

The moment of inertia of a rigid body depends on the mass of the body, its shape and size, distribution of mass about the axis of rotation, and the position and orientation of the axis of rotation.

Q. Assertion : The moment of inertia of a rigid body depends only on the mass of the body, its shape and size. Reason : Moment of inertia I=MR2, where M is the mass of the body and R is the radius vector.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

The moment of inertia of a rigid body depends on the mass of the body, its shape and size, distribution of mass about the axis of rotation, and the position and orientation of the axis of rotation.

Q. Assertion : The moment of inertia of a rigid body depends only on the mass of the body, its shape and size.
Reason : Moment of inertia $I = M R^{2}$ , where $M$ is the mass of the body and $R$ is the radius vector.