A subatomic particle moving at 0.95 c is measured in the laboratory to live 1.5 $\mu$ s before decaying. The lifetime of the particle in a rest frame is

Question

Quizplus · Accepted Answer

The lifetime of the particle in its rest frame is shorter due to time dilation. Using the time dilation formula $ t = \gamma t_0 $, where $ \gamma = \frac{1}{\sqrt{1-v^2/c^2}} $, and $ v = 0.95c $, we find $ t_0 = \frac{1.5 \mu s}{\gamma} \approx 0.47 \mu s $.

A Subatomic Particle Moving at 0 μ\muμ S Before Decaying μ\muμ S B) 1

A Subatomic Particle Moving at 0 $\mu$ S Before Decaying $\mu$ S
B) 1