please answer question number 2

94 1.) Assume that the ground state of 24%Cm (0*) decays only to the ground state of 238 Pu (0+) and the excited state (2") of energy 0.045 MeV. If the transition rate, 1, in seconds, the hindrance parameter, o, and the radius of the daughter nucleus, R, in fermi, can be estimated from i. In 2 = 48.9+3 Z12R1/2-4 Z/Q- 666 ii. 0 = 0.002 1.12+1), ii. R= 1.4 A 1/3 Where Z is the atomic number of the daughter nucleus and Q and la are the decay energy and orbital angular momentum of the a-particle. Calculate the branching ratios to the two states and half-life of 24%Cm [69%, 31%, 0.85 yr] 2. 23 AM (5/2) decays to 233Np (5/2+) by a-emission. If the decay energy is 5.924 MeV, discuss the permitted transitions and use the assumptions and equations in Problem 1 to estimate half-life of the parent nucleus. [la= 1, 3 and 5]