The radius of a proton is roughly 10^-15m, while the radius of a hydrogen atom is about 0.5x10^-10m. If we were to enlarge both proportionally until the proton was as large as a marble, about how large would the atom be?
The Attempt at a Solution
I calculated an answer of 300m, but this doesn't seem correct for the size of a Hydrogen atom. I simply took the radius of a marble to be approximately 0.6cm, found the proton had to increase by 6x10^12 to become the size of the marble and multiplied this increase factor by the radius of the hydrogen atom and got 300 :$