What is the Radius of Bohr Atom Orbitals?

[aisha1929]

Homework Statement

Given the numerical value of a0= 5.3X10^11m in the Bohr hydrogen atom, find the radius of the first five orbitals as well as the radius for n=100.

Homework Equations

Rn=a0 x n^2

The Attempt at a Solution

Could it be as simple as typing in for the third orbital 3 as n? Meaning the radius for the third orbital will be Rn= 5.3X10^11 x 3^2 = 4.77x10^12m ?

 

[SHISHKABOB]

welcome to PF, aisha1929

and yes, it really is that simple :)

one of the things about quantum physics and electron orbitals is that they are "quantized" meaning that there are specific values for which things can actually have. The electron can only be in one of those orbitals, it can't be orbiting the nucleus in, like, orbital shell 2.83 or shell 4.19, etc.

things are stuck in discrete levels or directions or shells, etc.