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If the fraction of the atoms of a radioactive m... - JAMB Physics 2000 Question

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

A
24 years
B
20 years
C
10 years
D
2 years
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Correct Option: B

1/64 is the usual fraction left of any radio active material after 4 half-lives, since 1/64 = (1/2)6

This implies that 6 half lives have elapsed.

Thus 6 half lives = 120 years

∴ 1 half life = 120/6 = 20 years

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