The half-life of a muon is 2.20 $\mu$s as measured in a stationary reference frame.What is the half life of the muon (in $\mu$s)when it is moving with a speed of v = 0.800 c?
A)8.13
B)2.75
C)3.67
D)15.8
E)1.32

Question

Quizplus · Accepted Answer

The half-life of a moving muon is longer due to time dilation. Using the formula for time dilation, t' = t / sqrt(1 - v^2/c^2), where t is the proper half-life (2.20 μs) and v = 0.800c, the dilated half-life is approximately 3.67 μs.

The Half-Life of a Muon Is 2 μ\muμ S as Measured in a Stationary Reference Frame

The Half-Life of a Muon Is 2 $\mu$ S as Measured in a Stationary Reference Frame