Problem 6.290

In a thermal reactor the mean lifetime of one generation of thermal neutrons is $\tau=0.10$ s. Assuming the multiplication constant to be equal to $k=1.010,$ find: (a) how many times the number of neutrons in the reactor, and consequently its power, will increase over $t=1.0 \mathrm{~min}$ (b) the period $T$ of the reactor, i.e. the time period over which its power increases e-fold.