1. For linear motion, you have seen how the
deBroglie wavelength changes as the momentum
of the particle changes (e.g. number of
nodes for PIB). Consider a particle confined
to the surface of a sphere, which can be
described by the rigid rotator model. What
do you expect for the shape of the wave
function describing a pole-to-pole motion?
(A) nodes form “circles of latitude” on the sphere; the number of nodes
increases with angular momentum
(B) nodes form “circles of latitude” on the sphere; the number of nodes
decreases with angular momentum
(C) nodes form “circles of longitude” on the sphere; the number of nodes
(D) nodes form “circles of longitude” on the sphere; the number of nodes

2. For linear motion, you have seen how the
deBroglie wavelength changes as the momentum
of the particle changes (e.g. number of
nodes for PIB). Consider a particle confined
to the surface of a sphere, which can be
described by the rigid rotator model. What
do you expect for the shape of the wave
function describing a pole-to-pole motion?
(A) nodes form “circles of latitude” on the sphere; the number of nodes
increases with angular momentum
... nodal lines are always perpendicular to the direction of motion
(B) nodes form “circles of latitude” on the sphere; the number of nodes
decreases with angular momentum
(C) nodes form “circles of longitude” on the sphere; the number of nodes
(D) nodes form “circles of longitude” on the sphere; the number of nodes