Question

Which of the following graph shows the variation of velocity with mass for the constant momentum?

• A. Fig 3
• B. Fig 1
• C. Fig 2
• D. Fig 4

Hint:

When analyzing velocity and mass for constant momentum, remember that they are inversely related, and this relationship can be represented by a hyperbolic graph.

Answer 1

The Correct Option is B

For constant momentum, we know that the momentum \( p \) is given by the equation: \[ p = mv, \] where \( m \) is the mass and \( v \) is the velocity. For constant momentum, we can rearrange the equation to get: \[ v = \frac{p}{m}. \] This shows that velocity \( v \) is inversely proportional to mass \( m \), meaning as the mass increases, the velocity decreases, and vice versa. 
The graph that shows this inverse relationship is a hyperbola, which corresponds to Fig 1. 
Thus, the correct graph is Fig 1.