The radius of a hydrogen nucleus is 1.4x10^(-15) meters. The entire hydrogen atom has a radius of .53 A. How many times larger is the atom than its nucleus?
How many times larger is the atom than its nucleus. I assume larger is in terms of radius. It could also mean volume or surface area.
A angstrom is 10^-10 m.
The radius of Hydrogen atom is larger than Hydrogen Nucleus by
0.53 * 10^ -10 / 1.4 * 10^ -15 = ( 0.53/1.4) * 10^ 5 = 0.378 * 10^5
The surface area of the Hydrogen atom is larger than the surface area of Hydrogen nucleus is
( Radius Square of Hydrogen Atom ) / ( Radius Square of Hydrogen Nucleus ) Square the above result given for radius
The volume of the hydrogen atom is larger than the volume of hydrogen nucleus is ( Radius Cube of Hydrogen Atom ) / ( Radius Cube of Hydrogen Nucleus ). Cube of the result given for the radius.