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178. Problem 2.29 R (29) The lifetime of muon ( |
)
stopped in a lead block in the laboratory is measured to be
.
The mean lifetime of high-speed muons in a burst of cosmic rays observed from
the earth is measured to be
. We
have to find the speed of the cosmic ray muons.|
Solution: Click For PDF Version The lifetime of muon as measured in the laboratory by observing stopping time in a lead block is
The lifetime of high-speed muons produced in a cosmic ray burst as measured
from the earth is
We have
We therefore have
or
and
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This
will be the proper time as in a lead brick muon will be moving with
non-relativistic speed.
Let the
speed of these high-speed muons measured from the earth be
