The number of atoms disintegrated per second at any instant is directly proportional to the number of radioactive atoms actually present in the sample at that instant. Therefore, the rate of disintegration is governed by an exponential law. Moreover, it implies that the number of atoms that break up at any instant is not affected by environmental factors (like temperature, pressure, chemical combination, etc.)


Half-life of a radioactive
element:
According
to the radioactive decay law, N=〖N_0 e〗^(-λt)




In radioactive disintegration, the original atoms transform to new atoms of new element. These new atoms are also radioactive leading to a long chain of different radioactive atoms in the form of a series (Fig. 6). The transformations go on until an inactive, i.e., stable substance is reached. In a radioactive series, any two adjacent elements may be considered as parent and daughter, the former being that which by its own decay produces the later.