Mean Life and Decay constant of a radioactive material.


Mean Life : 

Mean life, in radioactivity, normal lifetime of the apparent multitude of cores of a specific unsteady nuclear animal groups. This time span might be considered as the aggregate of the lifetimes of the apparent multitude of individual unsteady cores in an example, separated by the all out number of precarious cores present.

Mean Life and Decay constant

 The mean existence of a specific types of flimsy core is consistently 1.443 occasions longer than its Half-Life (time stretch needed for a large portion of the insecure cores to decay ). Lead-209,for model, rots to bismuth-209 with a mean existence of 4.69 hours and a half-existence of 3.25 hours. 

Decay constant : 

Decay constant , proportionality between the size of a populace of radioactive molecules and the rate at which the populace diminishes on the grounds that of radioactive decay . 

Related Topics :

Suppose N is the size of a population of radioactive particles at a given time t, and dN is the sum by which the population diminishes in time dt; at that point the pace of progress is given by the equation:

 dN/dt = −λN, where λ is the decay constant. 

Integration of this condition yields:

 N = N0e−λt, where N0 is the size of an underlying population of radioactive molecules at time t = 0.

 This shows that the population decays exponentially at a rate that relies upon the decay consistent. The time needed for half of the first populace of radioactive iotas to decay is called the Half-life . The connection between the half-life, T1/2, and the Decay steady is given by T1/2 = 0.693/λ.

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