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RATE OF RADIOACTIVE DISINTEGRATION...

RATE OF RADIOACTIVE DISINTEGRATION

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Radioactive Disintegration Series (RDS) || Radioactive Disintegration Law (RDL) || Difference b/w Rate Constant and Disintegration Constant

Statement -I : Time required for 75% radioactive disintegration (t_(3//4))=2 xx t_(1//2) . because Statement -II : Half life (t_(1//2)) of the radioactive disintegration in independent of temperature.

If the rate constant for the disintegration of a radioactive nucleus is lambda . Therefore the probability, P of survival of a radioactive nucleus for one mean life is

Radioactive disintegration is a first order reaction and its rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure. The rate of radioactive disintegration (Activity) is represented as -(dN)/(dt)=lambdaN Where lambda= decay constant, N= number of nuclei at time t, N_(0) =intial no. of nuclei. The above equation after integration can be represented as lambda=(2.303)/(t)log((N_(0))/(N)) Calculate the half-life period of a radioactive element which remains only 1//16 of its original amount in 4740 years: