In an old rock, the mass ratio of 23892U to 20682Pb is found to be 595:103. The age of the rock is: (Mean life of 23892U is T0)
A
T0ln1.2
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B
T0ln698595
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C
T0ln1.2ln2
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D
T0ln698595ln2
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Solution
The correct option is BT0ln698595 We know D=P(eλT−1)(PD)(eλT−1)=1PDeλT=(PD+1)ln(PD)+λT=ln(698595) similarly 1λln(DP+1)=t so, ¯T.ln(DP+1)=t t=Toln(698595)⟶ Option B.