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COMEDK2024Morning ShiftPhysicsCenter of Mass, Momentum and CollisionActual

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

Options

  1. AFig 1
  2. BFig 4
  3. CFig 2
  4. DFig 3

Correct answer

A. Fig 1

Step-by-step solution

The relationship between momentum p , mass m , and velocity v is given by the formula p = mv . For a constant momentum p , the equation becomes v = p m . This equation represents an inverse proportionality between velocity v and mass m , which is of the form v 1 m . The graph of v versus m for an inverse relationship v = k m (where k is a positive constant) is a rectangular hyperbola in the first quadrant, which corresponds to Fig 1. Answer: Fig 1

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