Show that the half-life T ‰¡ T_1/2is related to the mean life Ï„ by T = Ï„ ln 2 and that the exponential decay law can be written in the form

where N(t) is the number of particles at time t and N₀ = N(t = 0). How many kilograms of ⁷⁶Ge would be required to give rise to one ββoν decay a year, assuming a half-life of 5 × 10²⁶ y?

Transcribed Image Text:

N(t) = No ()" -/-