The lifetime of a pi meson in its on frame of reference is2.6* 10^-8 sec. If the
ID: 1677293 • Letter: T
Question
The lifetime of a pi meson in its on frame of reference is2.6* 10^-8 sec. If the meson moves with a speed of .99c, a) what isthe lifetime as measured by an observer at rest on Earth? b) Howhigh would a 100m mountain be measured in the meson's frame ofreference? The lifetime of a pi meson in its on frame of reference is2.6* 10^-8 sec. If the meson moves with a speed of .99c, a) what isthe lifetime as measured by an observer at rest on Earth? b) Howhigh would a 100m mountain be measured in the meson's frame ofreference?Explanation / Answer
Life time t ‘ = 2.6 * 10 ^ -8 s
Speed v= 0.99 c
Life time measured by an observer at rest on earth t = t‘ [ 1-(v / c) ^ 2 ]
= 0.36677* 10 ^ -8 s
(b). Proper length L = 100 m
Relative length L ‘ = L [ 1-(v /c)^2]
= 14.1 m
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