A particle of rest mass `m_(0)` is travelling, so that its total energy is twice its rest mass energy. It collides with another stationary particle of rest mass `m_(0)` to form a new particle. What is the rest mass of the new particle?

Options

A. `sqrt6m_(0)`
B. `2m_(0)`
C. `2 sqrt3m_(0)`
D. `3m_(0)`

Answer

D

Explanation

`because` Total energy of particle `=mc^(2)- m_(0)c^(2)` rest mass energy of particle `=m_(0)c^(2)` according question,
`rArr mc^(2)-m_(0)c^(2)= 2m_(0)c^(2)`
or `m=3m_(0)`
When a particle collides with another particle then net mass of new particle will be `m=3m_(0)`