JEE PHYSICS MCQ: NUCLEI

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The fraction of the initial number of radioactive nuclei which remain undecayed after half of a half-life of the radioactive sample is

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Correct option: A

\frac{1}{{\sqrt 2 }}

Option A (

\frac{{1}}{{\sqrt 2 }}

) is correct because after half of a half-life, the remaining fraction is calculated as

N = N_0 / 2^{t/T_{1/2}} = N_0 / \sqrt{2}

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