The proper mean lifetime of a muon is 2.2 Ă— 10^(-6) s. A beam of muons is moving with speed 0.6c relative to an inertial observer. Approximately how far will a muon in the beam travel, on average, before it decays?
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Step 1
2 \times 10^{-6} \) s \( v = 0.6c \) Plugging in the values: \( t = \frac{2.2 \times 10^{-6}}{\sqrt{1 - 0.6^2}} \) \( t = \frac{2.2 \times 10^{-6}}{\sqrt{1 - 0.36}} \) \( t = \frac{2.2 \times 10^{-6}}{\sqrt{0.64}} \) \( t = \frac{2.2 \times 10^{-6}}{0.8} \) \( t = Show more…
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The proper mean lifetime of a muon is 2.2 Ă— 10^(-6) s. A beam of muons is moving with a speed of 0.6c relative to an inertial observer. Approximately how far will a muon in the beam travel, on average, before it decays? 15 pts A) 288 m B) 360 m C) 500 m D) 600 m E) 800 m
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