Two rockets, \( A \) and \( B \), approach each other as shown in the figure. \( A \) travels to...
0Two rockets, \( A \) and \( B \),
approach each other as shown in the figure. \( A \) travels to the right at \( 0.7 c \) while \( B \) travels to the left at \( 0.8 c \). Both speed measurements are made relative to an inertial observer.
Both rockets have a supply of unstable mesons with a mean proper lifetime of \( 2.6 \times 10^{-8} \mathrm{~s} \). Which one of the following is a correct observation for the inertial observer?
(A) The mesons in \( A \) have a mean lifetime of \( 4.3 \times 10^{-8} \mathrm{~s} \)
(B) The mesons in \( B \) have a mean lifetime of \( 3.6 \times 10^{-8} \mathrm{~s} \)
(C) The mesons in both rockets have a mean lifetime of \( 2.6 \times 10^{-8} \mathrm{~s} \)
(D) On average, the mesons in \( A \) will decay before the mesons in \( B \)
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