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Question: Plutonium decays with a half-life of 24000 years. If the plutonium is stored for 72000 years, then t...

Plutonium decays with a half-life of 24000 years. If the plutonium is stored for 72000 years, then the fraction of plutonium that remains is-

A

12\frac{1}{2}

B

13\frac{1}{3}

C

14\frac{1}{4}

D

18\frac{1}{8}

Answer

18\frac{1}{8}

Explanation

Solution

n = = 7200024000\frac { 72000 } { 24000 }= 3 ; A.P =123\frac { 1 } { 2 ^ { 3 } }=18\frac { 1 } { 8 }