Finding the Radius of a Thomson Atom in Relation to Hydrogen Atom Radius

AI Thread Summary
To find the radius of a Thomson atom in relation to the hydrogen atom radius, one must equate the charge densities of both atoms. The charge density for the hydrogen atom can be expressed in terms of its radius Rh. By setting this expression equal to that of a Thomson atom with atomic number Z, the relationship between their radii can be established. This approach allows for deriving the radius R of the Thomson atom based on the known radius of the hydrogen atom. Understanding this relationship is crucial for solving the problem effectively.
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Homework Statement


Assume that the density of positive charge in any Thomson atom is the same as for the hydrogen atom. find the radius R of a Thomson atom of atomic number Z in terms of the radius Rh of the hydrogen atom.


Homework Equations





The Attempt at a Solution


I don't know where to start...could someone give me a hint?
 
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Write an expression for the charge density of a hydrogen atom (with an Rh in it). Set that equal to a similar expression for the charge density of an atom of atomic number z.
 
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