IIT JEE Advanced 2006 Paper 1

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14
C
is absorbed by living organisms during photosynthesis. The
14
C
content is constant in living organism once the plant or animal dies, the uptake of carbon dioxide by it ceases and the level of
14
C
in the dead being, falls due to the decay which
14
C
undergoes
14
6
C
14
7
N
+β

The half-life period of
14
C
is 5770 years. The decay constant (λ) can be calculated by using the following formula λ =
0.693
t
1
2

The comparison of the β activity of the dead matter with that of the carbon still in circulation enables measurement of the period of the isolation of the material from the living cycle. The method however, ceases to be accurate over periods longer than 30,000 years. The proportion of
14
C
to
12
C
in living matter is 1 : 1012.
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