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Chapter 2: Q42E (page 64)

A pion is an elementary particle that on average disintegrates 2.6×10-8safter creation in a frame at rest relative to the pion. An experimenter finds that pions created in the laboratory travel 13m on average before disintegrating. How fast are the pions traveling through the lab?

Short Answer

Expert verified

The speed of pion disintegration is 2.57×108m/s.

Step by step solution

01

Identification of given data

The disintegration duration for pion is t=2.6x10-8s

The average distance travelled by pion in labis L = 13 m.

02

Definition of Time Dilation

The difference in the observed time and actual time of event due to the relative movement between observer and frame is called the time dilation.

03

Determination of speed of the pions

The speed of pion disintegration is given as:

v=Lt2Lc2

Substitute all the values in the above equation.

v=13m2.6×10-8s2+13m3×108m/s2v=2.57×108m/s

Therefore, the speed of pion disintegration is 2.57×108m/s.

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