Orbits with set tilts

Science · Quantum & Modern Physics · ages 21-22

Name ______________________ Date ____________

For l equals 2, which projections on one axis are allowed?
- -2,-1,0,1,2 h bar
- Only plus 2 h bar
- Any angle at all
For l equals 1, what is the orbital angular momentum magnitude?
- 2 h bar
- h bar
- Root 2 h bar
For l equals 2, how many distinct projections exist?
Answer: ______________
What links the orbital magnetic moment to the orbit?
- Loop makes magnet
- They are unrelated
- Moment shrinks as circulation grows
Could you list the allowed angular momentum states for n equals 3 hydrogen?
- Only l equals 3
- 0,1,2 with 1,3,5 tilts
- Every real tilt
Zeeman splitting shows extra lines because each tilt of the orbit shifts by its own amount.
Circle one: True False
A friend claims the p shape is round like s. What is wrong?
- p not round
- Shapes are random
- All orbitals are dumbbells
An l equals 1 level enters a magnetic field and shows 3 lines. What does that tell you?
- The field created extra electrons
- The rule failed
- 3 tilts fit l=1

Answer key

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

-2,-1,0,1,2 h bar · m runs from minus l to plus l in whole steps, times h bar.
Root 2 h bar · Root l times l plus 1 with l equals 1 gives root 2, times h bar.
5 · Counting m from minus 2 to plus 2 gives 5 tilts.
Loop makes magnet · A circling electron acts as a miniature magnet scaled to its circulation.
0,1,2 with 1,3,5 tilts · The level allows l below n, each with 2l plus 1 projections.
True · Each projection shifts differently in the field, so one line fans into several.
p not round · The angular solutions draw distinct probability surfaces per l.
3 tilts fit l=1 · With 2l plus 1 equal to 3, the line count matches the tilt count.