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
- 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:
(\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).