(a)
The potential energy of the system.
(a)
Answer to Problem 44CP
The potential energy of the system is
Explanation of Solution
Write the equation for potential energy.
Here,
Substitute
Here,
Write the equation for the potential energy of the system.
Here,
Conclusion:
Substitute equation (II) in equation (III) for each pair of energy.
Thus, the potential energy of the system is
(b)
The minimum kinetic energy of the two electrons.
(b)
Answer to Problem 44CP
The minimum kinetic energy of the two electrons is
Explanation of Solution
Let the minimum energy of the electron be
Here,
Substitute
Write the equation for the minimum kinetic energy of the two electrons.
Here,
Conclusion:
Substitute equation (V) in equation (VI) to find
Thus, the minimum kinetic energy of the two electrons is
(c)
The value of
(c)
Answer to Problem 44CP
The value of
Explanation of Solution
Write the equation for the total energy.
Here,
Substitute equation (IV) and (VII) in the above equation to find
Write the condition for the energy to be minimum.
Conclusion:
Substitute equation (VIII) in the above equation to find
Rearrange the above equation for
Substitute
Thus, the value of
(d)
Compare the value of
(d)
Answer to Problem 44CP
The lithium inter-atomic spacing is in the same order of magnitude as the interatomic spacing of
Explanation of Solution
Write the equation for volume.
Here,
Write the equation for density.
Here,
Substitute equation (X) in the above equation and rearrange to find
Conclusion:
Substitute
The lithium interatomic spacing is 5.59 times larger than
Thus, the lithium interatomic spacing is in the same order of magnitude as the interatomic spacing
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Chapter 40 Solutions
Physics for Scientists and Engineers with Modern Physics
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