The volume of the nucleus to the volume of the electron

[patric44]

Homework Statement

i'am trying to find the volume of the nucleus to the volume of the electron (for hydrogen )

Relevant Equations

R = R. A^1/3 the radius of the nucleus
re = 2.8 * 10^-15 m

i'am trying to find the ratio between the volume of the nucleus for the hydrogen atom to its electron , but when i try to use the previous equations it seems wrong as i'am getting a low number like if the electron is bigger .
i used the the classical electron radius as it was the only thing that i could find :

and the radius of the nucleus is obtained from the equation:
R = R_o A^1/3 and as R_o = 1.2 * 10^-15 m

now the radius of the electron is bigger ?!
is this equation not valid for small atoms like hydrogen ?
is there any other approach for the problem ?

 

[haruspex]

Problem Statement: i'am trying to find the volume of the nucleus to the volume of the electron (for hydrogen )
Relevant Equations: R = R. A^1/3 the radius of the nucleus
re = 2.8 * 10^-15 m

i'am trying to find the ratio between the volume of the nucleus for the hydrogen atom to its electron , but when i try to use the previous equations it seems wrong as i'am getting a low number like if the electron is bigger .
i used the the classical electron radius as it was the only thing that i could find :
View attachment 245461
and the radius of the nucleus is obtained from the equation:
R = R_o A^1/3 and as R_o = 1.2 * 10^-15 m

now the radius of the electron is bigger ?!
is this equation not valid for small atoms like hydrogen ?
is there any other approach for the problem ?

They're not really comparable. The electron is not generally considered to have a size. The radius given by that formula is just useful for some purposes.
See https://en.m.wikipedia.org/wiki/Classical_electron_radius.
By the way, I see slightly larger values given for the H nucleus radius, more like 1.75.10^-15m.