Calculate the orbital radius of the hydrogen atom for the first principal quantum number. use the general expression given in the test to calculate this value. (hint: quantum numbers are not significant digits and should not be counted as such in determining your final answer. thus, this answer should have 2 significant digits.) 1.1 0.53 5.3

5.3 A

Explanation:

The orbital radius for the generic nth-level in the hydrogen atom is given by

where:

is the Bohr radius, with

being the vacuum permittivity

is the Planck constant

is the electron mass

is the electron charge

Substituting all this numbers into the formula, we find

and since

n = 1

the radius of the hydrogen atom for the first principal quantum number is

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