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An isotope of Potassium `._(19)^(40) K ` has a half life of `1.4 xx 10^(9)`year and decays to Argon `._(18)^(40)Ar`which is stable. (i) Write down the nuclear reaction representing this decay. (ii) A sample of rock taken from the moon contains both potassium and argon in the ratio `1//3`. find age of rock |
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Answer» Correct Answer - (i) `._(19)^(40) K rarr . _(18)^(40) Ar + ._(+1) beta ^(0) +v` (i) `._(19)^(40)Krarr._(18)^(40)Ar+.._(+1)" "^(0)e` (positron) (ii) `t=(1)/(lambda) ln .(1)/((1//4))" " (K)/(Ar)=(1)/(3)` (Given ratio) `=(1.4 xx10^(9))/(ln2) ln4 " " k=((1)/(4))` `=2.8 xx 10^(9)` years |
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