Concept explainers
In the rare decay what is the kinetic energy of the positron?
Answer to Problem 24P
Solution:
The kinetic energy of the positron is
Explanation of Solution
Given info:
Concept used:
The energy released during reaction can be calculated as
Calculation:
The energy released during the reaction
Substitute
Therefore, the energy released in decay
The energy released in any nuclear reaction is equal to the kinetic energy of the final preoduct particles.
Here,
The expression for the energy of the neutrion is
Now, apply conservation of linear momentum.
The momentum of positron is equal to that of neutrino in magnitude but opposite in direction, since the parent particle is initially rest.
Substitute for and for
Substitute for
Substitute
Therefore, the kinetic energy of the positron is
Chapter 32 Solutions
Physics: Principles with Applications
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