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.