What is the velocity of particle whose mass is double that of rest mass?

Options

A. `(2c)/(3)`
B. `(C )/(2)`
C. `(sqrt(3)c)/(2)`
D. `(3c)/(4)`

Answer

C

Explanation

`m=(m_(0))/(sqrt(1-(v^(2))/(c^(2))))=2m_(0)`
`therefore sqrt(1-(v^(2))/(c^(2)))=(1)/(2)`
`therefore 1-(v^(2))/(c^(2))=(1)/(4)`
`therefore (v^(2))/(c^(2))=(3)/(4)`
`therefore (v)/(c )=(sqrt(3))/(2)`
`therefore v=(sqrt(3))/(2)c`