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NEET
Exam
NEET
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET · Physics · Center of Mass, Momentum and Collision

Assertion : Centre of mass of a system may or may not lie inside...

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

  1. AIf both Assertion & Reason are true and the reason is the correct explanation of the assertion.
  2. BIf both Assertion & Reason are true but the reason is not the correct explanation of the assertion.
  3. CIf Assertion is true statement but Reason is false.
  4. 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: (\vec{R}_{C M}=\frac{\sum m_i \vec{r} i}{\sum m_i} \quad \text{ or } \quad \vec{R} C M=\frac{1}{M} \int \vec{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 around a hole) naturally place the COM in a region with no material, explaining why COM may be outside the system. Hence, both A and R are true, and R correctly explains A (\rightarrow) Option (1).
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