Answer:
The radius of the atom in miles is 0.1243.
Explanation:
Given that radius of an atom is ten thousand times greater than of its nucleus.
[tex]r=10000\times r_n[/tex]
[tex]\frac{r}{r_n}=\frac{10,000}{1}[/tex]
r = radius of an atom
[tex]r_n[/tex] = radius of the nucleus
If the radius of the nucleus is magnified to 2 cm.
[tex]R=2.0 cm[/tex]
[tex]R_n=?[/tex]
Ratio of radius of an atom to the radius of the nucleus will remain constant:
[tex]\frac{R}{R_n}=\frac{R}{2.0 cm}=\frac{10,000}{1}[/tex]
[tex]R=20,000 cm=200 m[/tex]
1 mile = 1609 m
[tex]200 m=\frac{1}{1609}\times 200 mile=0.1243 miles[/tex]
The radius of the atom in miles is 0.1243.
