Question

For a body moving with relativistic speed, if the velocity is doubled, then

• A. Its linear momentum is doubled
• B. Its linear momentum will be less than double
• C. Its linear momentum will be more than double
• D. Its linear momentum remains unchanged

Answer 1

Answer: (C)

Its linear momentum will be more than double

Answer 2

Relativistic momentum $= \frac{m_{0}v}{\sqrt{1 - v^{2}/c^{2}}}$

If velocity is doubled then the relativistic mass also increases. Thus value of linear momentum will be more than double.