Radioactive elements decay at a constant rate per unit mass of the element. Show that such decays obey equations of the form

where k is the decay rate of the element and m is the mass of the element present. The half life of an element is the time taken for one-half of any given mass of the element to decay. Find the relationship between the decay constant k and the half life of an element.

Transcribed Image Text:

dm dt = -km