1 Special Relativity (a) An observer sees a on moving pastwith moment...

1. Special Relativity (a) An observer sees a Ï€on moving past with momentum ~p. In the...

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Physics

1. Special Relativity (a) An observer sees a Ï€on moving pastwith momentum ~p. In the rest frame of the Ï€on, it decays into aÂµon and a Î½trino in perpendicular directions to the direction inwhich the observer is moving. Find the velocity of the Âµon in therest frame of the Ï€on.
(b) Find the velocity of the Âµon in the frame of the observer.What angle does it make with the direction of the Ï€on's motion?Repeat for the Î½trino (which may be assumed to be massless).
(c) If the Âµon's average lifetime is Ï„Âµ, then what is theaverage time taken it to decay relative to the observer?

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4.1 Ratings (463 Votes)

Solutiona In the reference frame of the pion that decays into muon andmuon neutrino It decays into the direction perpendicular to thedirection of See Answer

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