A radioactive material has a half life of ${\rm{10}}\,\,{\rm{days}}$. What fraction of the material would remain after ${\rm{30}}\,\,{\rm{days}}$

JEE PHYSICS MCQ: NUCLEI

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A radioactive material has a half life of

\mathrm{10}\,\,\mathrm{days}

. What fraction of the material would remain after

\mathrm{30}\,\,\mathrm{days}

View answer and explanation

Correct option: C

\mathrm{0}\mathrm{.125}

Option C (

\mathrm{0}\mathrm{.125}

) is correct because after 30 days (3 half-lives), the fraction remaining is

(1/2)^3 = 1/8 = 0.125