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A radioactive substance has 6.0xx10^(18)...

A radioactive substance has `6.0xx10^(18)` active nuclei initially. What time is required for the active nuclei of the same substance to become `1.0xx10^(18)` if its half-life is `40s`.

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(a) A radioactive sample has 6.0 xx 10^(18) active nuclei at a certain instant. How many of these nuclei will still be the same active state after two half-lives? (b) Radioactive phosphours -32 has a half-life of 14 days. A source containing this isotope has an initial activity of 10muCi . (i) What is the activity of the source after 42 days? (ii) What time elapse before the activity of the source falls at 2.5muCi ? (c) 1g of a radioactive substance disintergrates at the rate of 3.7 xx 10^(10) dps . The atomis mass of the substance is 226 . Calculate its mean life.