Concept explainers
(a)
The radius of the
(a)
Answer to Problem 43P
The radius of the
Explanation of Solution
Write the expression for the radius of the
Here,
Conclusion:
Substitute
Therefore, the radius of the
(b)
The force of repulsion between a proton at the surface of an
(b)
Answer to Problem 43P
The force of repulsion between a proton at the surface of an
Explanation of Solution
Write the expression for the force of repulsion between a proton at the surface of an
Here,
Conclusion:
Substitute
Therefore, the force of repulsion between a proton at the surface of an
(c)
The work done to overcome the last proton from a large distance up to the surface of the nucleus.
(c)
Answer to Problem 43P
The work done to overcome the last proton from a large distance up to the surface of the nucleus is
Explanation of Solution
Write the expression for the work done to overcome the last proton from a large distance up to the surface of the nucleus.
Conclusion:
Substitute
Therefore, the work done to overcome the last proton from a large distance up to the surface of the nucleus is
(d)
The radius of
(d)
Answer to Problem 43P
The radius of
Explanation of Solution
Use equation (I) to solve for the radius of
Use equation (II) to solve for force between a proton at the surface of
Use equation (III) the work done to overcome the last proton from a large distance up to the surface of the nucleus.
Conclusion:
Substitute
Substitute
Substitute
Therefore, the radius of
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