Question

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

Options

• `(2C)/3`

• `C/2`

• `(Csqrt3)/2`

• `(3C)/4`

Answer 1

The velocity at which the mass of a particle becomes twice its rest mass will be `underlinebb((Csqrt3)/2)`.

Explanation:

`m = m_0/(sqrt(1 - v^2/c^2)) = 2m_0`

∴ `1 - v^2/c^2 = 1/4`

⇒ `v^2/c^2 = 3/4`

∴ `v = (Csqrt3)/2`