The muon is an elementary radioactive particle created when
cosmic rays crash into the upper atmosphere of the earth. It has a
half-life of 1.5 μs. = 1.5 x 10-6 s in its rest frame.
The Muon Is An Elementary Radioactive Particle Created When Cosmic Rays Crash Into The Upper Atmosphere Of The Earth It 1 (118.75 KiB) Viewed 38 times
Only muons with a speed of 0.995c are stopped in the detector where they remain until they decay. Muons with less speed are stopped in the iron above the detector. Muons with greater speeds pass through the detector into Mount Washington below. 1. Calculate the speed (in m/s) of the muons moving at 0.995c 2. What distance do they travel in one microsecond? 3. Mount Washington is about 6,300 feet high. What are the appropriate S.I. units? Show that it takes about 6.4 microseconds for a muon to travel this distance. 4. The physicists counted 568 muons on the top of the mountain. Based on the average life span of a muon in the rest frame, the scientist calculated that 29 should reach the bottom of the mountain. That is, twenty-nine of the 568 muons should survive the 6.4 microseconds required to travel the height of Mount Washington. Show that this expectation is correct under classical mechanics. You can use the equation N=N/2y = t/t₁/2. No is the initial count and N is the count after time t where the half-life time is t₁/2
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