Chapter 14, Problem 14.25E

The following are sets of rotational quantum numbers $\left(J,M_J,K\right)$. Label each indicated transition as either allowed or forbidden. Hint: Remember the rules for allowed values of the various quatum numbers.

(a) $\left(0,0,0\right)\to \left(1,1,0\right)$ (b) $\left(0,0,0\right)\to \left(-1,0,0\right)$

(c) $\left(3,2,1\right)\to \left(3,1,1\right)$ (d) $\left(4,4,1\right)\to \left(2,4,1\right)$