A particle known as a pion lives for a short time before breaking apart into oth
ID: 2242857 • Letter: A
Question
A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.989c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.4
A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.989c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 3.4 Times 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart?Explanation / Answer
(a)
the life time according to the hypotheticalperson who is riding along with pion will be
?t = (?to) /?[1 - (v2 / c2)]
=2.299 x 10-7 s
(b)
distance moved will be
L = v ?t
= 0.989 * 3 * 10^8 * 0.2299 x 10-8 m
=0.682 m
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