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# A radioactive sample decays through two different decay processes α−decay and β−decay. Half-life time for α−decay is 3h and half-life time for β−decay is 6h. What will be the ratio of number of initial radioactive nuclei to the number of radioactive nuclei present after 6h?

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#### Here after 6 hr, two half time for α decay and one half time for β decay will occur.Let initial number of nuclei =N0After two half time for α decay, number of nuclei =N0/4 and After one half time for β decay, number of nuclei =N0/42=N0/8Ratio of number of initial radioactive nuclei to the number of radioactive nuclei present after 6 hr =N0N0/8=8

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