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Concept explainers
(a)
The density of an alpha particle’s nucleus.
(a)
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Answer to Problem 1PQ
The density of an alpha particle’s nucleus is
Explanation of Solution
Given that the radius of the constituent particle of alpha particle is
Since nuclear density is uniform, the density of alpha particle’s nucleus is the same as the density of its constituent particles.
Write the expression for density.
Here,
Assuming the particles to be of spherical shape, their the volume is given by the expression,
Here,
Use equation (II) in (I).
Conclusion:
Substitute
Therefore, the density of an alpha particle’s nucleus is
(b)
The comparison of the density of the nucleus of an alpha particle with the density of the osmium and what this comparison say about the space between nuclei in liquids and solids.
(b)
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Answer to Problem 1PQ
The density of the nucleus is about
Explanation of Solution
It is obtained that the density of alpha particle’s nucleus is
Compare the values of the densities of nucleus and osmium.
Conclusion:
Therefore, the density of the nucleus is about
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Chapter 15 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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