At time t =0 , a container has N ₀ radioactive atoms with a decay constant . In addition, c numbers of atoms of the same type are being added to the container per unit time. How many atoms of this type are there at t = T ?

Step-by-step solution

N ₀ -initial nucleon at t =0, ~N ₀ Addition is at a constant rate array l ( N - C )=- d N dt ₀^ k dt = _ N ₀ ^ N d N N - C array Integrating we get array l N = C + e ^ - t ( N ₀- C ) N = C (1- e ^ - t )+ N ₀ e ^ - t array