Concept explainers
(a)
The electric potential at the electron’s orbit due to the proton.
(a)
Answer to Problem 27P
The electric potential at the electron’s orbit due to the proton is
Explanation of Solution
Given info:
Radius of the electron is
Charge on an electron is
Charge on a proton is
Mass of an electron is
Formula used:
The electric potential at electron is,
The Coulomb’s constant is
Calculation:
Substituting the given values
Conclusion:
Thus, the electric potential at the electron’s orbit due to the proton is
(b)
The kinetic energy of the electron.
(b)
Answer to Problem 27P
The charge on the capacitor is
Explanation of Solution
Given info:
Radius of the electron is
Charge on an electron is
Charge on an proton is
Mass of an electron is
Formula used:
The
Calculation:
Substituting the given values, we get
Conclusion:
Thus, the kinetic energy of the electron is
(c)
The total energy of the electron in its orbit.
(c)
Answer to Problem 27P
The total energy of the electron is
Explanation of Solution
Given info:
Radius of the electron is
Charge on an electron is
Charge on a proton is
Mass of an electron is
Formula used:
The total energy of the electron is,
Calculation:
Substituting the given values,
The negative sign indicates it is a bound system.
Conclusion:
Thus, the total energy of the electron is
(d)
The ionization energy.
(d)
Answer to Problem 27P
The ionization energy is
Explanation of Solution
Given info:
Radius of the electron is
Charge on an electron is
Charge on an proton is
Mass of an electron is
Formula used:
The ionization energy is,
Calculation:
Substituting the given values,
Here,
Conclusion:
Thus, the ionization energy is
Chapter 17 Solutions
Physics: Principles with Applications
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