Concept explainers
(a)
The energy released in the reaction.
(a)
Answer to Problem 11P
The energy released in the reaction is
Explanation of Solution
Write the expression for the energy released in the reaction.
Here,
Conclusion:
Mass of electron is negligible.
Substitute,
Thus, the energy released in the reaction is
(b)
The speed of electron and proton after reaction.
(b)
Answer to Problem 11P
The speed of electron and proton after reaction is
Explanation of Solution
Write the expression for the conservation momentum.
Here,
Write the expression for the conservation energy by using (II).
Write the expression for the gamma factor.
Here,
Write the expression for the velocity of electron by using conservation of momentum and equation (IV).
Here,
Write the expression for the velocity of proton by using conservation of momentum and equation (II) and (IV).
Here,
Conclusion:
Substitute,
Substitute,
Substitute,
Thus, the speed of electron and proton after reaction is
(c)
The particles which is in relativistic speed.
(c)
Answer to Problem 11P
The speed of the electron is relativistic.
Explanation of Solution
The speed of electron is
The speed of light is
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Chapter 31 Solutions
Principles of Physics: A Calculus-Based Text
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