The isotopes U238 and U235 occur in nature in the mass ratio 140:1. It is assumed that initially they were found in equal mass. If half life (t½) of U238 = 4.5 × 109 and t½ of U235 = 5 × 108 year respectively, then the age of earth in years is (log 7 = 0.846; log 2 = 0.3)
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a
4.02 × 109
b
2.01 × 109
c
8.72 × 109
d
None of these
answer is A.
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Detailed Solution
For U238;K1t=lnn0n1 For U235;K2t=lnn0′n2. K1−K2t=lnn0n1×n2n0′ ln210.5×109−14.5×109t=ln(140)t=4.02×109 year