Radioactivity of a radioactive element remains 1/10 of the original radioactivity after 2.303 s.

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\(λ = \frac{2.303}{t}log_{10}\frac{a}{(a-x)}\)

or 

\(λ = \frac{2.303}{2.303}log_{10}\frac{1}{(10)}=1\)

\(T = \frac{0.693}{λ}=0.693\)

Radioactivity is the atomic property occurring due to reactions taking place in the atomic nucleus. In certain isotopes of a number of elements, radioactivity becomes unstable and disintegrates with the production of radiation and usually of an atom or atoms of other elements.

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