what is likely to be the quantum number for a circular orbit of diameter 20nm of the hydrogen atom if - Chemistry - Structure of Atom

Question

what is likely to be the quantum number for a circular orbit of
diameter 20nm of the hydrogen atom if we assume bohr orbit to be
same as that represented by the principal quantum number?

Neha Thukral · Accepted Answer

Bohr radius is given as,
rn = 0 529 n2×10-10 m
given that, diameter = 20 nm
Therefore, radius = 10nm = 10×10-9 m
Using Bohr radius equation:
n2 = 10×10-90 529×10-10 = 189
03n = 13 74 ≈ 14

what is likely to be the quantum number for a circular orbit of diameter 20nm of the hydrogen atom if we assume bohr orbit to be same as that represented by the principal quantum number?