Question

An unstable particle is produced in a laboratory. After its creation, it travels 1.00 m in 4.0 ns, before decaying to other particles.

(a) What is the lifetime of the particle in its rest frame?

(b) If the particle is created in the lab’s rest frame from a total energy of 20 GeV, and all of the energy goes into the particle, what is its mass (in GeV/c²)?

(c) According to the lab’s rest frame, what is the particle’s momentum (in GeV/c) prior to decay?

Answer 1

we have to find the lifetime of the particle in rest frame that is  to

from the question given

distance travels so1.00m in 4ns(newton second)

the equation is t=to/1-v2/c2 *so

v=c1-(to/t)2