Concept explainers
(a)
The radius of the
(a)
Answer to Problem 10P
The radius of the
Explanation of Solution
Write the equation for the nuclear radius.
Here,
Conclusion:
The mass number of
Substitute
Therefore, the radius of the
(b)
The force of repulsion between a proton at the surface of a
(b)
Answer to Problem 10P
The force of repulsion between a proton at the surface of a
Explanation of Solution
Write the equation for the Coulombic force.
Here,
The charge of proton is
Substitute
Here,
Conclusion:
The value of
Substitute
Therefore, the force of repulsion between a proton at the surface of a
(c)
The work that must be done to overcome the electrostatic repulsion and put the last proton into the nucleus.
(c)
Answer to Problem 10P
The work that must be done to overcome the electrostatic repulsion and put the last proton into the nucleus is
Explanation of Solution
The work that must be done will be equal to the electrostatic potential energy of the system.
Write the equation for the electrostatic potential energy.
Here,
Substitute
Conclusion:
Substitute
Therefore, the work that must be done to overcome the electrostatic repulsion and put the last proton into the nucleus is
(d)
The radius of the
(d)
Answer to Problem 10P
The radius of the
Explanation of Solution
The mass number of
Conclusion:
Substitute
Substitute
Substitute
Therefore, the radius of the
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Chapter 13 Solutions
Modern Physics
- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forward(a) Calculate the number of grams of deuterium in an 80.000L swimming pool, given deuterium is 0.0150% of natural hydrogen. (b) Find the energy released in joules if this deuterium is fused via the reaction 2H+2H3He+n. (c) Could the neutrons be used to create more energy? (d) Discuss the amount of this type of energy in a swimming pool as compared to that in, say, a gallon of gasoline, also taking into consideration that water is far more abundant.arrow_forward
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