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Question: Plutonium decays with half life of 2400 years if plutonium is stored for 72000 years, the fraction o...

Plutonium decays with half life of 2400 years if plutonium is stored for 72000 years, the fraction of it that remains is.

A

1/8

B

1/3

C

1/4

D

1/2

Answer

1/8

Explanation

Solution

: here, n=7200024000=3,NN0=(12)n=(12)3=18n = \frac{72000}{24000} = 3,\frac{N}{N_{0}} = \left( \frac{1}{2} \right)^{n} = \left( \frac{1}{2} \right)^{3} = \frac{1}{8}