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Questions
Choose the correct option.
The radius of the 4th orbit of the electron will be smaller than its 8th orbit by a factor of ______.
The radius of the eighth orbit of the electron in the H-atom will be more than that of the fourth orbit by a factor of ______.
Options
2
4
8
16
Solution
The radius of the 4th orbit of the electron will be smaller than its 8th orbit by a factor of 4.
Explanation:
`r_4 = 0.529 xx 10^-8 xx 4^2`
`r_s = 0.529 xx 10^-8 xx 8^2`
`r_s/r_4 = (0.529 xx 10^-8 xx 8^2)/(0.529 xx 10^-8 xx 4^2) = 8^2/4^2`
`r_s/r_4 = 64/16` = 4
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Answer in brief.
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