The radius of the first orbit is

# The radius of the first orbit is

1. A

0.529$\stackrel{\mathrm{o}}{\mathrm{A}}$

2. B

0.0529 nm

3. C

52.9 pm

4. D

529 m

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### Solution:

Radius of nth orbit is given by,

$\mathrm{r}=0.529\mathrm{X}\frac{{\mathrm{n}}^{2}}{\mathrm{Z}}\stackrel{\mathrm{o}}{\mathrm{A}}$

For H-atom Z = 1 and electron present in 1st orbit, so n=1
$\mathrm{r}1=0.529\mathrm{X}\frac{{\mathrm{n}}^{2}}{1}0.529\stackrel{\mathrm{o}}{\mathrm{A}}$

1$\stackrel{\mathrm{o}}{\mathrm{A}}$=0.1nm=100pm

r1=0.529$\stackrel{\mathrm{o}}{\mathrm{A}}$=0.0529nm=52.9pm

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