NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Center of Mass, Momentum and Collision
NEET · Physics · Center of Mass, Momentum and Collision
Assertion : The position of centre of mass relative to body is...
Assertion : The position of centre of mass relative to body is independent of the choice of coordinate system.
Reason : Centre of mass does not shift its position in the absence of an external force.
Options
- AIf both Assertion & Reason are true and the reason is the correct explanation of the assertion.
- BIf both Assertion & Reason are true but the reason is not the correct explanation of the assertion.
- CIf Assertion is true statement but Reason is false.
- DIf both Assertion and Reason are false statements.
Correct answer
C. If Assertion is true statement but Reason is false.
Step-by-step solution
Changing the coordinate system adds the same offset to all position vectors. The COM position relative to the body (i.e., measured from the body's own geometry) doesn't depend on the coordinate choice.
- Reason (R): False (as stated).
With no external force, the COM has zero acceleration, not zero motion. It can still move at constant velocity; so its position can change with time unless it happened to be at rest initially in that frame.
Therefore, A is true, R is false (\rightarrow) Option (3).