Question

The magnitude of linear momentum of a particle moving at a relativistic speed $v$ is proportional to

• A. $v$
• B. $1-v^2/c^2$
• C. $\sqrt{1-v^2/c^2}$
• D. none of these

Answer 1

The correct option is D none of these

Magnitude of linear momentum $P=mv$ where $m=\frac{m_o}{\sqrt{1-(v/c{)}^2}}$

$\therefore$ $P=\frac{m_{o}v}{\sqrt{1-(v/c{)}^2}}$

$⟹P\propto \frac{v}{\sqrt{1-(v/c{)}^2}}$

Thus option D is correct.