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JC-7) Pions at Fermilab A burst of T+ mesons (pions) travels down an evacuated beam tube at Fermilab moving at 0.92c with respect to the laboratory. а) b) Compute y for this group of pions. The proper mean lifetime of pions is 2.6 x 108 s. What mean lifetime is measured in the lab? c) If the burst contained 50,000 pions, how many remain after the group has traveled 50 m down the beam tube? d) What would the answer to (c) be if we ignored time dilation? Hint: Pions decay according to the statistical law of radioactivity where t = to. N(t) = Noe(-t/t) %3D

JC-7) Pions at Fermilab A burst of T+ mesons (pions) travels down an evacuated beam tube at Fermilab moving at 0.92c with respect to the laboratory. а) b) Compute y for this group of pions. The proper mean lifetime of pions is 2.6 x 108 s. What mean lifetime is measured in the lab? c) If the burst contained 50,000 pions, how many remain after the group has traveled 50 m down the beam tube? d) What would the answer to (c) be if we ignored time dilation? Hint: Pions decay according to the statistical law of radioactivity where t = to. N(t) = Noe(-t/t) %3D

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JC-7) Pions at Fermilab A burst of t+ mesons (pions) travels down an evacuated beam tube at Fermilab moving at 0.92c with respect to the laboratory. a) b) measured in the lab? Compute y for this group of pions. The proper mean lifetime of pions is 2.6 x 108 s. What mean lifetime is c) If the burst contained 50,000 pions, how many remain after the group has traveled 50 m down the beam tube? d) What would the answer to (c) be if we ignored time dilation? Hint: Pions decay according to the statistical law of radioactivity where t = to. N(t): = Noe(-t/t)
Transcribed Image Text:JC-7) Pions at Fermilab A burst of t+ mesons (pions) travels down an evacuated beam tube at Fermilab moving at 0.92c with respect to the laboratory. a) b) measured in the lab? Compute y for this group of pions. The proper mean lifetime of pions is 2.6 x 108 s. What mean lifetime is c) If the burst contained 50,000 pions, how many remain after the group has traveled 50 m down the beam tube? d) What would the answer to (c) be if we ignored time dilation? Hint: Pions decay according to the statistical law of radioactivity where t = to. N(t): = Noe(-t/t)
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