A particle of rest mass m0 is travelling so that its total energy is twice its rest mass energy. It collides with another stationary particle of rest mass m0 to form a new particle. What is the rest mass of the new particle?

Question

A particle of rest mass m0 is travelling so that its total energy is twice its rest mass energy. It collides with another stationary particle of rest mass m0 to form a new particle. What is the rest mass of the new particle? (A) √6 m0 (B) 2 m0 (C) 2 √3 m0 (D) √3 m0

Tardigrade Admin · Accepted Answer

∵ Total energy of particle =m c2-mo c2 rest mass energy of particle =m0 c2 according question, ⇒ m c2-m0 c2=2 m0 c2 or m=3 m0 When a particle collides with another particle then net mass of new particle will be m=3 m0

Q. 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?

$6 m_{0}$

$2 m_{0}$

$23 m_{0}$

$3 m_{0}$

$3 m_{0}$

$∵$ Total energy of particle $= m c^{2} - m_{o} c^{2}$
rest mass energy of particle $= m_{0} c^{2}$
according question,
$\Rightarrow m c^{2} - m_{0} c^{2} = 2 m_{0} c^{2}$
or $m = 3 m_{0}$
When a particle collides with another particle
then net mass of new particle will be $m = 3 m_{0}$

Q. A particle of rest mass m0​ is travelling so that its total energy is twice its rest mass energy. It collides with another stationary particle of rest mass m0​ to form a new particle. What is the rest mass of the new particle?

6​m0​

2m0​

23​m0​

3​m0​

3m0​

∵ Total energy of particle =mc2−mo​c2 rest mass energy of particle =m0​c2 according question, ⇒mc2−m0​c2=2m0​c2 or m=3m0​ When a particle collides with another particle then net mass of new particle will be m=3m0​

Q. 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?

$6 m_{0}$

$2 m_{0}$

$23 m_{0}$

$3 m_{0}$

$3 m_{0}$

$∵$ Total energy of particle $= m c^{2} - m_{o} c^{2}$
rest mass energy of particle $= m_{0} c^{2}$
according question,
$\Rightarrow m c^{2} - m_{0} c^{2} = 2 m_{0} c^{2}$
or $m = 3 m_{0}$
When a particle collides with another particle
then net mass of new particle will be $m = 3 m_{0}$