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Deduce the law of radioactive disintegration.

The Law of Radioactivity Disintegration:

Let, N be the number of atoms present in the radio element at a given instant t. Then the rate of decrease,

Here, λ is the disintegration constant. It is defined as the ratio of the amount of the substance which disintegrates in a unit time to the amount of substance present.

The equation (i) can be written as, 


Let, there are  number of atoms present initially.

Then, when t=0, N=N0

Substituting the value of C in equation (ii),

Thus the number of atoms of a given radioactive substance decreases exponentially with time.