In 90 seconds, the mass of a radioactive element reduces to \(\frac{1}{16}\) of its original value. Determine the half- life of the element.

a

15.0s

b

18.0s

c

22.5s

d

30.0s

e

45.0s

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Correct Option
c

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imieteRich
6 years ago

The selected answer is wrong

the correct answer is A

imieteRich
6 years ago

1 / 64 = (1/ 2)^n

(1/ 2)^ 6 = (1/ 2)^n =>
n = 6 half lives

Hence 1 half lives = 90 / 6 = 15

Option A

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