Concept explainers
(a)
To Find: The velocity of an electron.
(a)
Answer to Problem 56A
Explanation of Solution
Given data:
Kinetic energy of electron,
Formula used:
Here, m is the mass and v is the velocity.
Calculation:
Conclusion:
Velocity of the electron is
(b)
To Find: The de Broglie wavelength of the electron.
(b)
Answer to Problem 56A
Explanation of Solution
Given:
Velocity of the electron is
Formula used:
de Broglie equation is:
m = mass
v = velocity
Calculation:
Substitute the known values and solve:
Conclusion:
Electron’s de Broglie wavelength is
(c)
To Compare: The circumference of a hydrogen atom with atom’s electron de Broglie wavelength.
(c)
Explanation of Solution
Given:
Electron’s de Broglie wavelength is
Radius of Hydrogen atom,
Formula used:
Circumference
Calculation:
de Broglie wavelength of electron
Ratio of circumference of hydrogen atom and de Broglie’s wavelength of electron is:
Conclusion:
The circumference of hydrogen atom is 9.88 times the de Broglie’s wavelength of electron.
Chapter 27 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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