A Certain Unstable Particle Has a Mean Lifetime Of $1.52 \times 10 ^ { - 6 } \mathrm {~s}$

Multiple Choice

A certain unstable particle has a mean lifetime of $1.52 \times 10 ^ { - 6 } \mathrm {~s}$ . This is the time interval between its creation in a nuclear process and its extinction into decay products, as measured in a frame of reference at rest with respect to the particle. An average such particle is observed by a scientist on Earth to travel $342 \mathrm {~m}$ in its lifetime. What is the speed of the particle relative to Earth? $( c = 3.00 \mathrm { x }$ $10 ^ { 8 } \mathrm {~m} / \mathrm { s }$ )

A) $0.821 c$
B) $0.551 \mathrm { c }$
C) $0.681 c$
D) $0.600 c$
E) $0.335 c$