p38_044 - 44. (a) The proper lifetime t0 is 2.20 s, and the...

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44. (a) The proper lifetime ∆ t 0 is 2 . 20 µ s, and the lifetime measured by clocks in the laboratory (through which the muon is moving at high speed) is ∆ t =6 . 90 µ s. We use Eq. 38-7 to solve for the speed: v = c s 1 µ t 0 t 2 =0 . 9478 c or v =2 . 84 × 10 8 m / s. (b) From the answer to part (a), we ±nd γ =3 . 136. Thus, with m µ c 2 = 207 m e c 2 = 105 . 8 MeV (see Table 38-3), Eq. 38-49 yields
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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