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Chapter 30: Q25CQ (page 1111)

For a given value of n, what are the allowed values of l ?

Short Answer

Expert verified

The allowed values of l are:

\(l = 0,\;1,\;2, \ldots ,\;n - 1\)

Step by step solution

01

Definition of quantum numbers

The position and the level of energy in the atom can be described by a particular number set that is unique to that atom. The particular number set is called quantum number set. This set contains the number that are called principal, azimuthal, magnetic, and spin.

02

Explanation for the question

For a given n, the allowed values of l are integers ranging from zero to n - 1 in one-step increments:

\(l = 0,\;1,\;2, \ldots ,\;n - 1\)

For example, if n = 3, l can be either 0 or 2.

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Most popular questions from this chapter

Verify that the ground state energy \({{\rm{E}}_{\rm{0}}}\) is \({\rm{13}}{\rm{.6eV}}\) by using

\({{\rm{E}}_{\rm{0}}}{\rm{ = }}\frac{{{\rm{2}}{{\rm{\pi }}^{\rm{2}}}{\rm{q}}_{\rm{e}}^{\rm{4}}{{\rm{m}}_{\rm{e}}}{{\rm{k}}^{\rm{2}}}}}{{{{\rm{h}}^{\rm{2}}}}}\)

If a hydrogen atom has its electron in the n = 4 state, how much energy in eV is needed to ionize it?

Do the Balmer and Lyman series overlap? To answer this, calculate the shortest-wavelength Balmer line and the longest-wavelength Lyman line.

Observers at a safe distance from an atmospheric test of a nuclear bomb feel its heat but receive none of its copious x rays. Why is air opaque to x rays but transparent to infrared?

What two pieces of evidence allowed the first calculation of me, the mass of the electron?

(a) The ratios \[\frac{{{{\bf{q}}_{\bf{e}}}}}{{{{\bf{m}}_{\bf{e}}}}}\]and \[\frac{{{{\bf{q}}_{\bf{p}}}}}{{{{\bf{m}}_{\bf{p}}}}}\].

(b) The values of qe and EB.

(c) The ratio \[\frac{{{{\bf{q}}_{\bf{e}}}}}{{{{\bf{m}}_{\bf{e}}}}}\]and qe.

Justify your response.
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