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8 May, 20:37

A certain element has a half-life of 1,000 years. How much of a sample of this element remains after 2,000 years?

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  1. 8 May, 20:46
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    A quarter of the sample.

    Explanation:

    Let the quantity at the beginning be T. If the element has a half-life of 1,000 years, it means that after 1000 years, T/2 (which represents half the initial quantity available) would have decayed, remaining T/2.

    After another 1000 years (making 2000 years), T/4 (which represents have of the quantity left after the first 1000 years) would have decayed, remaining T/4.

    This means that only a quarter of T would be left after 2000 years.
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