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 const

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: [ &#955; is the radioactive decay constant]

Quantrex Academy · Accepted Answer

Correct answer: C. &#955; e - &#955; t

N = N 0 e - &#955; t &#160; N d = N 0 - N N d = N 0 1 - e - &#955; N d N 0 = f = 1 - e - &#955; t d f d t = &#955; e - &#955; t

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]

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More from Nuclear Physics

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: [ &#955; is the radioactive decay constant]

Options

Correct answer

Step-by-step solution

More from Nuclear Physics

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]