The "muon" is an unstable particle with rest mass m = 106 MeV/c^2. The mean lifetime of a muon at rest is 2.2 microseconds. (micro = 10^-6) Now consider a muon moving in a laboratory, with total relativistic energy E = 2.5 GeV. (G= giga = 10^9). What is the mean distance that the muon would travel relative to the lab, before decaying? (in m) OA: 5.098x103 OB: 7.392x103 OC: OD: OE: 1.072x104 1.554x104 2.254x104 OF: 3.268x104 OG: 4.738x104 OH: 6.870x104

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The "muon" is an unstable particle with a rest mass \( m = 106 \, \text{MeV}/c^2 \).

The mean lifetime of a muon at rest is 2.2 microseconds. (micro = \( 10^{-6} \))

Now consider a muon moving in a laboratory, with total relativistic energy \( E = 2.5 \, \text{GeV} \). (G = giga = \( 10^9 \))

What is the mean distance that the muon would travel relative to the lab, before decaying?

(in m)

Options:

- A: \( 5.098 \times 10^3 \)
- B: \( 7.392 \times 10^3 \)
- C: \( 1.072 \times 10^4 \)
- D: \( 1.554 \times 10^4 \)
- E: \( 2.254 \times 10^4 \)
- F: \( 3.268 \times 10^4 \)
- G: \( 4.738 \times 10^4 \)
- H: \( 6.870 \times 10^4 \)
Transcribed Image Text:The "muon" is an unstable particle with a rest mass \( m = 106 \, \text{MeV}/c^2 \). The mean lifetime of a muon at rest is 2.2 microseconds. (micro = \( 10^{-6} \)) Now consider a muon moving in a laboratory, with total relativistic energy \( E = 2.5 \, \text{GeV} \). (G = giga = \( 10^9 \)) What is the mean distance that the muon would travel relative to the lab, before decaying? (in m) Options: - A: \( 5.098 \times 10^3 \) - B: \( 7.392 \times 10^3 \) - C: \( 1.072 \times 10^4 \) - D: \( 1.554 \times 10^4 \) - E: \( 2.254 \times 10^4 \) - F: \( 3.268 \times 10^4 \) - G: \( 4.738 \times 10^4 \) - H: \( 6.870 \times 10^4 \)
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