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Question: The radius of Bohr’s first orbit is a<sub>0</sub>. The electron in the n<sup>th</sup> orbit has a ra...

The radius of Bohr’s first orbit is a0. The electron in the nth orbit has a radius-

A

na0

B

a0/n

C

n2a0

D

a0/n2

Answer

n2a0

Explanation

Solution

rn = 1Z\frac { 1 } { \mathrm { Z } } [1Kn2h24π2me2]\left\lbrack \frac{1}{K}\frac{n^{2}h^{2}}{4\pi^{2}me^{2}} \right\rbrack or rn µ n2Z\frac{n^{2}}{Z}