Muons are produced through the annihilation of particle a and its anti-particle, namely the process a + a → µ* + µ¯ . A muon has a rest mass of 105 MeV/c² and its proper life time is 2us. If the center of mass energy of the collision is 2.1 GeV in the laboratory frame that coincides with the center-of-mass frame, then the fraction of muons that will decay before they reach a detector placed 6 km away from the interaction point is (a) e-¹ -1 (b) 1-e¹ (c) 1-e² (d) e-10

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Muons are produced through the annihilation of particle a and its anti-particle, namely
the process a + a → µ* + µ¯. A muon has a rest mass of 105 MeV/c² and its proper life
time is 2us. If the center of mass energy of the collision is 2.1 GeV in the laboratory
frame that coincides with the center-of-mass frame, then the fraction of muons that will
decay before they reach a detector placed 6 km away from the interaction point is
(a) e-¹
-1
(b) 1-e¹
(c) 1-e²
(d) e-¹0
Transcribed Image Text:Muons are produced through the annihilation of particle a and its anti-particle, namely the process a + a → µ* + µ¯. A muon has a rest mass of 105 MeV/c² and its proper life time is 2us. If the center of mass energy of the collision is 2.1 GeV in the laboratory frame that coincides with the center-of-mass frame, then the fraction of muons that will decay before they reach a detector placed 6 km away from the interaction point is (a) e-¹ -1 (b) 1-e¹ (c) 1-e² (d) e-¹0
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