Concept explainers
a.
To calculate: Radius of the orbital.
a.
Answer to Problem 37A
Radius of the orbital =
Explanation of Solution
Given:
A hydrogen atom with an electron in the
Formula used:
The electron orbital radius in hydrogen is given by,
Where,
Calculation:
The electron orbital radius in hydrogen is calculated as:
Conclusion:
Radius of the orbital =
b.
To calculate: Electrostatic force between proton and electron.
b.
Answer to Problem 37A
Electrostatic force between proton and electron =
Explanation of Solution
Given:
A hydrogen atom with an electron in the
Formula used:
Electrostatic force between proton and electron is given by,
Where
Calculation:
Electrostatic force between proton and electron is calculated as:
Conclusion:
Electrostatic force between proton and electron =
c.
To calculate: Centripetal acceleration of the electron.
c.
Answer to Problem 37A
Centripetal acceleration of the electron =
Explanation of Solution
Given:
A hydrogen atom with an electron in the
Formula used:
Acceleration is given by,
Where
Calculation:
Acceleration is calculated as:
Conclusion:
Centripetal acceleration of the electron =
d.
To calculate: Orbital electron speed and compare to
d.
Answer to Problem 37A
Orbital electron speed =
The electron speed is
Explanation of Solution
Given:
A hydrogen atom with an electron in the
Formula used:
Orbital electron speed is given by,
Where
Calculation:
Orbital electron speed is calculated as:
Comparing this with speed of light,
Conclusion:
Orbital electron speed =
The electron speed is
Chapter 28 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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