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Radioactive mass proportional decay: time for the mass to fall to one third

The same question, asked 2 times: 18 Apr 2026 S2*, 13 May 2026 S1. Every wording below, oldest first.

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  1. Question 1

    18 Apr 2026 S2

    83
    The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where k (k>0)k\ (k > 0) is the constant of proportionality. The time during which an original mass of 1.5 gm will disintegrate to a mass of 0.5 gm is …\ldots

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  2. Question 2

    13 May 2026 S1

    85
    The rate of disintegration of a radioactive element at any time t is proportional to its mass at that time. Then the time during which the original mass of 4.54.5 gm will disintegrate to a mass of 1.51.5 gm. is...(where kk is proportionality constant)

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