Question

You have a machine that produces a beam of π mesons moving at a speed of 0.8660?. In your lab, you aim this beam at a target that is 67.50 m away from your machine. The half‑life for π meson decays is 26.0 ns.

Calculate the time it takes, in the lab frame, for particles to travel from your machine to the target.

Find the classically expected fraction of particles that would reach the target without having decayed.

Find the time it takes, in the rest frame of the particles, for a particle to travel from the machine to the target.

Calculate the relativistically expected fraction of particles that would reach the target without decaying.

Answer 1