NEETPhysicsCenter of Mass, Momentum and Collision
Assertion : Centre of mass of a system may or may not lie inside the system. Reason : The position of centre of mass depends on distribution of mass within the system.
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
A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion.
Step-by-step solution
- Assertion (A): True. The centre of mass (COM) can lie inside or outside the material of the body/system. Examples: for a uniform ring or a semicircular wire, the COM lies at the geometric center-which is empty space. - Reason (R): True. The COM position is determined by the mass distribution: ( R _ C M = m_i r i m_i or R C M= 1 M r d m ) Change how mass is spread, and the COM shifts accordingly. - Does R explain A? Yes. Because COM depends on how mass is distributed, certain distributions (like mass arranged arou