The decay constant lambda of a radioactive sa | vedclass

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(C) The decay constant $\lambda$ is a characteristic property of a radioactive isotope.According to the law of radioactive decay,the rate of decay is

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$\lambda$ is independent of the age.

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(C) The decay constant $\lambda$ is a characteristic property of a radioactive isotope.According to the law of radioactive decay,the rate of decay is proportional to the number of radioactive nuclei present at that instant,given by $\frac{dN}{dt} = -\lambda N$.Here,$\lambda$ represents the probability of decay per unit time for a single nucleus.This probability is a constant value for a specific radioactive substance and does not change with time or the age of the sample.Therefore,$\lambda$ is independent of the age of the atoms.

The decay constant $\lambda$ of a radioactive sample is the probability of decay of an atom in unit time. Then,

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