Chapter 14, Problem 14.26E

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 quantum numbers.

(a) $\left(5,4,0\right)\to \left(3,6,0\right)$ (b) $\left(8,2,2\right)\to \left(9,2,2\right)$

(c) $\left(7,4,2\right)\to \left(7,4,2\right)$ (d) $\left(4,2,5\right)\to \left(3,2,5\right)$