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Q.

The C14 to C12 ratio in a certain piece of wood is 25% of that in atmosphere. The half life period of C14 is 5,580 years. The age of wood piece is (in years)

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a

5,580

b

2790

c

1395

d

11,160

answer is D.

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Detailed Solution

N=N0e−λt 25=100e-λt eλt=4 λt=ln4=2ln2    t=2ln2λ=2T1/2=2×5580=11,160  (T1/2=0.693λ=ln2λ)

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The C14 to C12 ratio in a certain piece of wood is 25% of that in atmosphere. The half life period of C14 is 5,580 years. The age of wood piece is (in years)