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Question
The magnitude of linear momentum of a particle moving at a relativistic speed v is proportional to ______________ .
Options
v
1 − v2/c2
\[\sqrt{1 - \nu^2 / c^2}\]
none of these
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Solution
none of these
Linear momentum of a particle moving at a relativistic speed v is given by
\[p = \frac{m_o v}{\sqrt{1 - \frac{v^2}{c^2}}}\]
Here, mo is the rest mass of the particle.
So, linear momentum is proportional to \[\frac{v}{\sqrt{1 - \frac{v^2}{c^2}}}.\]
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