Question

The velocity at which the mass of a particle becomes twice its rest mass will be ______.

पर्याय

• ${\displaystyle \frac{2C}{3}}$

• ${\displaystyle \frac{C}{2}}$

• ${\displaystyle \frac{C\sqrt{3}}{2}}$

• ${\displaystyle \frac{3C}{4}}$

Answer 1

The velocity at which the mass of a particle becomes twice its rest mass will be ${\displaystyle \underline{\frac{C\sqrt{3}}{2}}}$.

Explanation:

${\displaystyle m=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}=2m_0}$

∴ ${\displaystyle 1-\frac{v^2}{c^2}=\frac{1}{4}}$

⇒ ${\displaystyle \frac{v^2}{c^2}=\frac{3}{4}}$

∴ ${\displaystyle v=\frac{C\sqrt{3}}{2}}$