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If the fraction of the atoms of radioactive mat... - JAMB Physics 2021 Question

If the fraction of the atoms of radioactive material left after 120 years is 1/64, what is the half-life of the material?

A

24 years

B

20 years

C

10 years

D

2 years

correct option: b

Given fraction of the atoms left = \(\frac{1}{64}\)

= \(\frac{1}{64} = \frac{1}{(2)^{6}}\)

\(\therefore\) = \(\frac{120 \text {years}}{6}\) = 20 years

\(\Rightarrow\) T\(\frac{1}{2}\)

= 20 years

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