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in Physics by (75.3k points)

There is a narrow beam of negative pions with kinetic energy T equal to the rest energy of these particles. Find the ratio of fluxes at the sections of the beam separated by a distance l = 20 m. The proper mean lifetime of these pions is τ0 = 25.5 ns.

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Here  so the life time of the pion in the laboratory frame is

The law of radioactive decay implies that the flux decrease by the factor.

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