(a)
Ratio of total energy of moving electron to rest energy.
(a)
Answer to Problem 33E
The ratio of total energy to rest energy of electron is 1.12.
Explanation of Solution
Electron initially at rest is accelerated through potential difference
Write the expression of ratio of total energy to rest energy
Here,
Since the electron is accelerated through potential difference of
Conclusion:
Substitute
Thus, ratio of total energy to rest energy of electron is 1.12.
(b)
Final speed of electron.
(b)
Answer to Problem 33E
The final speed of electron is
Explanation of Solution
Write the expression of total energy
Here,
Since the ratio of total energy to rest energy is
Conclusion:
Substitute
Simplify above expression for
Substitute
Thus, the final speed of electron is
(c)
Final speed of electron as governed by nonrelativistic mechanics.
(c)
Answer to Problem 33E
The final speed of electron according to nonrelativistic mechanics is
Explanation of Solution
Write the expression of final speed
Here,
The value of kinetic energy of electron is:
Conclusion:
Substitute
Thus, electron has final speed
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Chapter 25 Solutions
General Physics, 2nd Edition
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