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SSC Test Questions The half life period of an isotope is 2 hours. After 6 hours what fraction of the initial quantity of the isotope will be left behind?

Answer»

f life period of an isotope is 2 hours. That MEANS, for every 2 hours, the initial quantity gets halved.Let 'x' be the initial amount.After two hours, x becomes halved. So, the amount of isotope PRESENT now is x/2After next two hours (i.e., after four hours from the beginning),x/2 becomes halved. So, the amount of isotope present now is (x/2)/2 = x/4After ANOTHER two hours (i.e., after six hours from the beginning)x/4 becomes halved. So, the amount of isotope present now is (x/4)/2 = x/8Therefore, after six hours, the fraction of initial amount of the isotope left behind will be 1/8 (of x )



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