Question

The velocity of a body of rest mass $m_0$ is (where c is the velocity of light in vacuum). The mass of this body is

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

From Einstein’s formula $m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}=\frac{m_0}{\sqrt{1-\frac{{\left[\sqrt{\frac{3}{2}C}\right]}^2}{C^2}}}=\frac{m_0}{\sqrt{1-\frac{3}{4}}}=2m_0$