Question

If momentum of a body remains constant, then mass-speed graph of body is:

• A. a circle
• B. a straight line
• C. a rectangular hyperbola
• D. a parabola

Answer 1

Answer: (C)

a rectangular hyperbola

Momentum of the body $P=mv$

Momentum of the body is constant i.e $P=constant$, if $mv=constant$

Equation of rectangular hyperbola in mass-speed graph : $mv=k$ where $k=constant$

Thus momentum of body remains constant if the mass-speed graph of the body is a rectangular hyperbola.