If f denotes the ratio of the number of nuclei decayed N d to the number of nuclei at t = 0 , N 0 then for a collection of radioactive nuclei, the rate of change of f with respect to time is given as: [ λ is the radioactive decay constant]

Question

If f denotes the ratio of the number of nuclei decayed N d to the number of nuclei at t = 0 , N 0 then for a collection of radioactive nuclei, the rate of change of f with respect to time is given as: [ λ is the radioactive decay constant], - λ 1 - e - λ t, λ 1 - e - λ t, λ e - λ t, - λ e - λ t

MARKS App · Accepted Answer

N = N 0 e - λ t N d = N 0 - N N d = N 0 1 - e - λ N d N 0 = f = 1 - e - λ t d f d t = λ e - λ t

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