The Hydrogen Atom: Quantum Numbers and Orbital Shapes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

One proton, three numbers, every shape

Science · Chemistry · ages 18-19
Name ______________________   Date ____________
  1. The label set n = 2, l = 0 is given. Which orbital is it?

    • 2p
    • 2d
    • 2s
  2. Which quantum number sets the energy and size in hydrogen?

    • l, the shape number
    • n, the principal number
    • ml, the orientation number
  3. What does the tallest peak of a radial plot tell you?

    • The most likely distance of the electron
    • The speed of the electron at that point
    • The total charge carried at that point
  4. A plot shows one spherical shell of zero probability plus one flat plane. Which orbital fits?

    • 3s
    • 3p
    • 2p
  5. How many total nodes does any n = 4 orbital have?

    Answer: ______________

  6. Why do 2s and 2p share one energy in hydrogen?

    • They share the same shape
    • The nucleus treats every orbital alike
    • Energy depends only on n in hydrogen
  7. Which proposed label set is impossible?

    • n = 3, l = 1
    • n = 2, l = 2
    • n = 3, l = 0
  8. A student labels an orbital 3d with 2 radial nodes and 1 angular node. What is the error?

    • The total is 3, but n = 3 allows only 2
    • d orbitals can never have radial nodes
    • The student counted the nucleus twice
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Answer key

For grown-ups. Fold this page away before handing over the rest.

One proton, three numbers, every shape W1-mt_zt9_eR1884-s1

  1. 2s · The letter s is the nickname for l = 0.
  2. n, the principal number · Size and energy both answer to n in hydrogen.
  3. The most likely distance of the electron · Peaks of the radial plot are the most probable distances.
  4. 3p · One shell plus one plane adds to 2, which matches n = 3.
  5. 3 · Every hydrogen orbital carries n minus 1 total nodes.
  6. Energy depends only on n in hydrogen · With one electron there is nothing for shape to act on.
  7. n = 2, l = 2 · The shape number must stay below n.
  8. The total is 3, but n = 3 allows only 2 · Node totals catch bad labels fast.
Worksheet · LightMySky