The intensity of cosmic ray radiation decreases rapidly with increasing energy, but there are occasionally extremely energetic cosmic rays that create a shower of radiation from all the particles they create by striking a nucleus in the atmosphere as seen in the figure given below. Suppose a cosmic ray particle having an energy of converts its energy into particles with masses averaging . (a) How many particles are created?
(b) If the particles rain down on a area, how many particles are there per square meter?

(a) 5* 10¹⁰ (b) 5* 10⁴ particles / m²

Step-by-step explanation:

Solution

(a) We find the number of particles that is created

Now,

The energy will change into particles of masses that is averaging  200 MeV/c²

The number of particles that were created is stated as follows:

n = Ec/Er

Ec =This is the cosmic energy

Er =The rest mass energy

Thus, we  replace 10¹⁰ with Ec and (0.200 GeV/c²)c² for Er

This gives us the following:

n = 10¹⁰ GeV/ (0.200 GeV/c²)c²

= 5* 10¹⁰

Hence the number of particle created is 5* 10¹⁰

(b) We now find how many particles are there per square meter

Thus,

n/m² = 5* 10¹⁰ particles/(1000 m)²

= 5* 10⁴ particles / m²

Hence, the particles that are there per square meter is 5* 10⁴ particles / m²

Note: Kindly find an attached copy of the complete question to this solution below.

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step-by-step explanation:

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