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Q.

Uranium ores contain one radium 226 atom for every 2.8 x 106 uranium 238 atoms. Calculate the half-life ofU 92238 given that the half-life of R 88226a is 1600       years (R 88226ais a decay product of U 92238)

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a

175 x106 years

b

1600 x23892 years

c

4.5 x 109 years

d

1600 years

answer is C.

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Detailed Solution

at steady state  N1λ1=N2λ2 2.8 x1061T1=11T2    T2= 1600 years T1= 4.45 x 109
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