Question

Pions have a half-life of 18 ns. A pion beam leaves an accelerator at a speed of 0.8c. (a) If relativistic effects are not considered, what is the distance over which half of the pions in the beam are expected to decay? (b) Taking relativistic effects into consideration, how far an observer in the laboratory will see the beam travel before approximately half of the pions in the beam decay? What distance will an observer riding on the pion beam measure? How are the results consistent? The half-life is measured in a frame in which the particles are at rest.

Name: pions have a half life of 18 ns a pion beam leaves an accelerator at a speed of 08c a if relativistic effects are not considered what is the distance over which half of the pions in the beam 77395
Uploaded: 2023-06-19T04:01:31-08:00
Duration: 2 min 50 s
Channel: Adi S
Description: pions have a half life of 18 ns a pion beam leaves an accelerator at a speed of 08c a if relativistic effects are not considered what is the distance over which half of the pions in the beam 77395

          Pions have a half-life of 18 ns. A pion beam leaves an accelerator at a speed of 0.8c. (a) If relativistic effects are not considered, what is the distance over which half of the pions in the beam are expected to decay? (b) Taking relativistic effects into consideration, how far an observer in the laboratory will see the beam travel before approximately half of the pions in the beam decay? What distance will an observer riding on the pion beam measure? How are the results consistent? The half-life is measured in a frame in which the particles are at rest.

Added by John S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/19/2023

Step 1

Given that the half-life of pions is 18 ns, we can use the formula for radioactive decay to calculate the distance over which half of the pions decay. The formula is: Distance = Speed x Time Distance = 0.8c x 18 ns Distance = 0.8 x 3.00 x 10^8 m/s x 18 x 10^-9 Show more…

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Pions have a half-life of 18 ns. A pion beam leaves an accelerator at a speed of 0.8c. (a) If relativistic effects are not considered, what is the distance over which half of the pions in the beam are expected to decay? (b) Taking relativistic effects into consideration, how far an observer in the laboratory will see the beam travel before approximately half of the pions in the beam decay? What distance will an observer riding on the pion beam measure? How are the results consistent? The half-life is measured in a frame in which the particles are at rest.