(a)
Prove that the period of electron is
(a)
Answer to Problem 10P
It is proved that
Explanation of Solution
Write the equation for the
Here,
Write the quantization condition for
Here,
Equate the right hand sides of above two equations.
Rewrite the above expression in terms of
Write the equation for time period of orbital motion.
Here,
Rewrite the above expression by substituting
Write the equation to find the orbital radius.
Here,
Rewrite the expression for
From dimensional analysis, it can be seen that the whole term
Thus, it is it is proved that
Conclusion:
Substitute
Therefore, it is proved that
(b)
Number of revolutions made by electron in the excited state.
(b)
Answer to Problem 10P
Number of revolutions made by electron in the excited state is
Explanation of Solution
Write the equation to find the number of revolutions made by electron in the excited state.
Here,
Conclusion:
Substitute
Substitute
Therefore, the number of revolutions made by electron in the excited state is
(c)
Check whether is it possible to treat the electron in
(c)
Answer to Problem 10P
On comparing the period of revolution electron with that of Sun, it is correct that electron in
Explanation of Solution
It is found that in part (b),
Conclusion:
Therefore, on comparing the period of revolution electron with that of Sun, it is correct that electron in
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Chapter 41 Solutions
Physics for Scientists and Engineers with Modern Physics
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