4. I have two isotopes A and A' of an element with half-lives T1/2 and Ti/2 respectively.(a) Show that with time, the amount of A' relative to A isNA: (t)f (t) =NA (t)= f (0) exp(2)T'(b) The half-lives of 238U and 235U are 4.5 billion years and 700 million years, respectively.Natural uranium is currently about 97.3% 238U and 0.7% 235U . Based on the formulain (a), how long ago would you have been able to build an atomic bomb out of naturaluranium ore, given that "weapons grade" uranium is at least 80% 235U? [MY]

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