1. The spins and parities of the ground state, first excited state, and second excited state of ⁶²Sm¹⁵² are (0, even), (2, even), and (1, odd). Determine the types of radiation emitted in the y decays between these states.

2. Verify that the parts of the y-decay selection rules relating L to the nuclear spins represent angular momentum conservation requirements. Use the fact that a γ ray from a transition of multipolarity L carries L units of angular momentum.