Structure of Atom - Result Question 18
####18. The Bohr orbit radius for the hydrogen atom $(n=1)$ is approximately $0.530 \AA$. The radius for the first excited state $(n=2)$ orbit is (in $\AA$ )
[1998]
(a) 0.13
(b) 1.06
(c) 4.77
(d) 2.12
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Solution:
- (d) Radius of hydrogen atom $=0.530 \AA$, Number of excited state $(n)=2$ and atomic number of hydrogen atom $(Z)=1$. We know that the Bohr radius.
$(r)=\frac{n^{2}}{Z} \times$ Bohr Radius of atom $=\frac{(2)^{2}}{1} \times 0.530$ $=4 \times 0.530=2.12 \AA$
