Concept explainers
(a)
The total numbers of fissions have occurred up to and including the
(a)
Answer to Problem 72AP
The total number of fissions have occurred up to and including the
Explanation of Solution
In this case, the number of fissions occurring in the zeroth generation is
The number of fissions occurring in the first generation is
The number of fissions occurring in the second generation is
The number of fissions occurring in the
Write the expression for the total number of fissions occurred up to
Here,
Rewrite the above expression,
Write the expression of algebra for the factoring of the difference of two squares.
Here,
Write the expression of algebra for the factoring of the difference of two cubes.
Write the expression of algebra for the generalized to the difference of two quantities to any power.
Conclusion:
Substitute
Substitute
Therefore, the total number of fissions have occurred up to and including the
(b)
The uranium in the weapon takes the time to complete the fission after its zeroth generation.
(b)
Answer to Problem 72AP
The uranium in the weapon takes the time to complete the fission after its zeroth generation is
Explanation of Solution
Write the expression for the total number of fissions have occurred up to and including the
Here,
From part (a),
Write the expression for the total number of fissions have occurred up to and including the
Here,
Rewrite the above expression for
Write the expression for the uranium in the weapon takes the time to complete the fission after its zeroth generation.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the uranium in the weapon takes the time to complete the fission after its zeroth generation is
(c)
The speed of sound in the uranium.
(c)
Answer to Problem 72AP
The speed of sound in the uranium is
Explanation of Solution
Write the expression for the speed of sound in the uranium.
Here,
Conclusion:
Substitute
Therefore, the speed of sound in the uranium is
(d)
The time interval for a compressional wave to cross the radius of a
(d)
Answer to Problem 72AP
The time interval for a compressional wave to cross the radius of a
Explanation of Solution
Write the expression for the volume of the uranium.
Here,
Write the expression for the volume of the uranium in mass density.
Here,
Equating expression (XI) and (XII),
Write the expression for the time interval for a compressional wave.
Here,
Conclusion:
Substitute
Substitute
Therefore, the time interval for a compressional wave to cross the radius of a
(e)
Does the entire bomb release the explosive energy of all its uranium.
Does the explosive energy of the uranium release in equivalent tons of TNT.
(e)
Answer to Problem 72AP
Yes, the entire bomb release the explosive energy of all its uranium
The explosive energy of the uranium is release
Explanation of Solution
Write the expression for the ratio of the energy release between the uranium bomb and one ton of TNT.
Here,
Conclusion:
Substitute
Therefore, the entire bomb release the explosive energy of all its uranium
The explosive energy of the uranium is release
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Chapter 45 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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