Concept explainers
The radius of circular electron orbits in the
(a)
The centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom.
Answer to Problem 79PQ
The centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom is
Explanation of Solution
Write the expression for the centripetal acceleration.
Here,
Use
Here,
Conclusion:
Substitute
Centripetal acceleration is directed towards the nucleus that is its acts inward.
Therefore, the centripetal acceleration of an electron in the ground state of the Bohr hydrogen atom is
(b)
The magnitude and direction of the centripetal force acting on an electron in the in the ground state.
Answer to Problem 79PQ
The centripetal force acting on the electron in the ground state is
Explanation of Solution
Write the expression for the centripetal force.
Here,
Use equation (II) in (III) to rewrite (III).
Conclusion:
Substitute
Centripetal force is directed towards the nucleus, that is its acts inward.
Therefore, the centripetal force acting on the electron in the ground state is
(c)
The magnitude and direction of the centripetal force acting on an electron in the in the ground state.
Answer to Problem 79PQ
The centripetal force acting on the electron in the
Explanation of Solution
Rewrite equation (IV).
For second excited state
Conclusion:
Substitute
Therefore, the centripetal force acting on the electron in the
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Chapter 6 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
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