Concept explainers
(a)
The maximum kinetic energy of the electron when a neutron decays at rest .
(a)
Answer to Problem 48P
The maximum kinetic energy of the electron when a neutron decays at rest is
Explanation of Solution
Write the expression for the decays reaction,
Here,
Write the expression for the energy conservation of the above equation,
Here,
In this case, the energy of antineutrino,
Rewrite the above equation,
Write the kinetic energy of the proton,
Here,
Conclusion:
Since,
So the kinetic energy values,
Substitute
Therefore, the maximum kinetic energy of the electron when a neutron decays at rest is
(b)
The kinetic energy of the proton .
(b)
Answer to Problem 48P
The kinetic energy of the proton is
Explanation of Solution
Write the kinetic energy of the proton,
Here,
In this case, the magnitude of the momentum of the electron is equal to the magnitude of the momentum of proton.
So,
Conclusion:
Substitute
Substitute
Therefore, the kinetic energy of the proton is
(c)
The maximum kinetic energy and momentum of the anti-neutrino and the kinetic energy of the proton .
(c)
Answer to Problem 48P
The maximum kinetic energy and momentum of the anti-neutrino and the kinetic energy of the proton are
Explanation of Solution
In this case, the kinetic energy of the electron is zero.
So the expression for the energy of the given reaction,
Write the expression for the energy of the anti-neutrino,
Write the expression for the momentum of the antineutrino,
Here,
Write the expression for the kinetic energy of proton,
Conclusion:
Substitute
Since,
So,
Substitute
Substitute
Therefore, the maximum kinetic energy and momentum of the anti-neutrino and the kinetic energy of the proton are
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Chapter 13 Solutions
EBK MODERN PHYSICS
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