InterviewSolution
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InterviewSolution
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Uranium `._(92)U^(238)` decayed to `._(82)Pb^(206)`. They decay process is `._(92)U^(238) underset((x alpha, y beta))(rarr ._(82)Pb^(206))` `t_(1//2)` of `U^(238) = 4.5 xx 10^(9)` years A sample of rock south America contains equal number of atoms of `U^(238)` and `Pb^(206)`. The age of rock will beA. `4.5 xx 10^(9)` yearsB. `9 xx 10^(9)` yearsC. `13.5 xx 10^(9)` yearsD. `2.25 xx 10^(9)` years |
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Answer» Correct Answer - A `K = (2.303)/(t) "log" ((N_(0))/(N))` `(0.693)/(t_(1//2)) = (2.303)/(t) "log" ((N_(0))/(N))` `[{:(N_(0) = 1 + 1 = 2),(N = 1):}]` `(0.693)/(4.5 xx 10^(9)) = (2.303)/(t) "log" ((2)/(1))` `:.t = 4.5 xx 10^(9)` years |
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