Q173 / 180 · COMEDK 2025 (10 May Shift 3) · Physics
The velocity - mass graph of body with constant linear momentum is represented by the graph:
- A
- B
- C
- Correct answerD
Solution
Linear momentum $p$ is defined as the product of mass $m$ and velocity $v$, given by the equation $p = mv$.
For a body with constant linear momentum, $p$ is a constant. Therefore, we can write the relationship between velocity and mass as $v = \dfrac{p}{m}$.
This equation represents an inverse proportionality between velocity and mass, which is of the form $v \propto \dfrac{1}{m}$.
The graph of $v$ versus $m$ for this relationship is a rectangular hyperbola, where $v$ decreases as $m$ increases, approaching zero as $m$ approaches infinity, and approaching infinity as $m$ approaches zero.
Answer:
For a body with constant linear momentum, $p$ is a constant. Therefore, we can write the relationship between velocity and mass as $v = \dfrac{p}{m}$.
This equation represents an inverse proportionality between velocity and mass, which is of the form $v \propto \dfrac{1}{m}$.
The graph of $v$ versus $m$ for this relationship is a rectangular hyperbola, where $v$ decreases as $m$ increases, approaching zero as $m$ approaches infinity, and approaching infinity as $m$ approaches zero.
Answer:
Hence, the correct answer is option: 'D'.