One of the hazards of nuclear explosion is the generation of Sr90 and its subsequent incorporation in bones. This nuclide has a half-life of 28.1 years. Suppose one microgram was absorbed by a new-born child, how much Sr90 will retain in his bones after 20 years?
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a
0.7321 μg
b
0.6107 μg
c
0.5814 μg
d
0.2142 μg
answer is B.
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Detailed Solution
For the half lite t½ = 28.1 yr the decay constant isK=0.693t1/2=0.69328.1Since the radioactivity decay follows the first order kinetics,∴log[A]A0=−K2.303tlog[A]1.0μg=−0.69328.1×202.303