Radioactive element decays to form a stable nuclide, then the rate of decay of reactant `((d N)/(d t))` will vary with time `(t)` as shown in figure.

The rate of decay of radioactive element

The radioactive nucleus of an element X decays to a stable nucleus of element Y.A graph of the rate of romation of Y against time would look like:

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//2) . At the time t=0 , there are N_(0) nuclei of the element X . The number N_(X) of nuclei of X at time t=T_(1//2) is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X . The number N_(X) of nuclei of X at time t=T_(1//2) is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X. The number N_(Y) of nuclei of Y at time t is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X. The number N_(Y) of nuclei of Y at time t is .

Nuclei of a radioactive element X are being produced at a constant rate K and this element decays to a stable nucleus Y with a decay constant lambda and half-life T_(1//3) . At the time t=0 , there are N_(0) nuclei of the element X . The number N_(Y) of nuclei of Y at t=T_(1//2) is.

20% radioactive sample decay in time t. How much sample decay in time 2t ?