The initial number of atoms of a radioactive element with half life 100 days, is 9.6×1026. The number of atoms remaining undecayed after 500 days, will be

3.84×1025

9.6×1025

3×1025

19.2×1025

A

3.84×1025

B

3×1025

C

9.6×1025

D

19.2×1025

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Solution

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Fraction undecayed after 500 days is =9.6×10262(500/100)=9.6×102632=3×1025

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