Concept explainers
(a)
The distance of the closest approach of alpha particle and a gold nucleus.
(a)
Answer to Problem 3P
The distance of the closest approach of alpha particle and a gold nucleus is
Explanation of Solution
On a head-on collision between an alpha particle and a gold nucleus
Write to formula for electrostatic potential energy
Write to formula for kinetic energy
Here,
Conclusion:
Here,
Substituting
Thus, the distance of the closest approach of alpha particle and a gold nucleus is
(b)
The initial minimum initial speed for an alpha particle to approach as closed as
(b)
Answer to Problem 3P
The initial minimum initial speed for an alpha particle to approach as closed as
Explanation of Solution
Consider the closed distance between the alpha particle and the gold nucleus is
Conclusion:
Equating (I) and (II),
Substituting
Thus, the initial minimum initial speed for an alpha particle to approach as closed as
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Chapter 44 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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