2. In this problem, we'll take a closer look at the "spherical harmonics", aka the solutions to the rigid rotor. Specifically, we'll look into the different "nodes" present in each wavefunction-i.c....

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Extracted text: 2. In this problem, we'll take a closer look at the "spherical harmonics", aka the solutions to the rigid rotor. Specifically, we'll look into the different "nodes" present in each wavefunction-i.c. places where Y, = 0. For cach wavefunction given, determine the values of 0 and o where nodes occur. For each wavefunction, briefly discuss and/or sketch: what do these nodes look like in 3D? Does the # of nodes you found match what you would expect based on your knowledge of "orbitals"? a. Y (0, 4) = b. Y (0,) = 3 cos e %3D c. Y (0,) = 3 sin 0 e 15 d. Y (0, 4) = sin 0 cos 0 e'