   Chapter 33, Problem 51PE

Chapter
Section
Textbook Problem

Construct Your Own ProblemConsider an ultrahigh−energy cosmic ray entering the Earth’s atmosphere (some have energies approaching a joule). Construct a problem in which you calculate the energy of the particle based on the number of particles in an observed cosmic ray shower. Among the things to consider are the average mass of the shower particles, the average number per square meter, and the extent (number of square meters covered) of the shower. Express the energy in eV and joules.

To determine

The incident energy of cosmic rays which contains 6.67×109 particles per square meter with average mass

having 300 MeV/c2and falls on an area of 0.5 km2.

Explanation

Given info:

Average mass of particles =300 MeV/c2

Number of particles per square meter =6.67×109

Area on which particles are incident 0.5 km2

Formula used:

Number of particles per square meter

=Incident energy / (energy of single particle X area on which particles are incident)

Calculation:

Incident cosmic ray energy =6

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