Question

Statement (I): If a given component of the total applied force vanishes, the corresponding component of the linear momentum is not conserved.
Statement (II): If the component of applied torque along the axis of rotation vanishes, then the component of total angular momentum along the axis of rotation is conserved.
Choose the most appropriate answer:

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but Statement II is incorrect
• D. Statement I is incorrect but Statement II is correct

Hint:

Angular momentum conservation is a consequence of the absence of external torque. Linear momentum conservation follows from Newton’s first law.

Answer 1

The Correct Option is D

Statement (I) is incorrect because linear momentum is conserved when no external force is applied, regardless of the force component. Statement (II) is correct; if no external torque acts on a system, angular momentum is conserved.