What is the radius in nm of the electron orbit of a hydrogen atom for n = 4?

____nm

The formula to calculate the radius of the electron orbit in a hydrogen atom is given by:

r = (0.529 * n^2) / Z

where:
r = radius in nm
n = principal quantum number
Z = atomic number (for hydrogen, Z = 1)

Plugging in the values:
r = (0.529 * 4^2) / 1
r = (0.529 * 16) / 1
r = 8.464 nm

Therefore, the radius of the electron orbit for n = 4 in a hydrogen atom is 8.464 nm.