Question

Asked Oct 6, 2019

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State the total number of quantum **states** available to an electron in the levels in a hydrogen atom that have energy

a.) hcR_{H}

b.) hcR_{H}

c.) (1/25)hcR_{H}

Step 1

In the above problem it is assumed that the expression for the energy of an electron in a hydrogen atom is given in magnitude form,

In general the expression for energy of an electron in a hydrogen atom in terms of the Rydberg constant *R*_{H }is given by,

Step 2

Here *R*_{H} is the Rydberg constant, *h* is the plank’s constant, *c* is the speed of light and *n * is the principal quantum number.

Assuming only the magnitude of the energy to be relevant, on comparing the above equation with the energy values given in the problem we have,

Step 3

a)

For the given expression for energy

*n *= 1

The number of states availabl...

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