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16 July, 01:11

You have 400 kg of a radioactive substance with a short half-life of 1000 years. how much will be left after these times?

-1,000

-2,000

-4,000

+3
Answers (1)
  1. 16 July, 03:22
    0
    Half-life of a radioactive substance is the time required to reduce the amount of substance to half of its initial amount.

    In present case, half-life is material is given as 1000 years and initial amount of material is given as 400 kg

    Answer 1) Since, half-life of radio-active substance is 1000 years, therefore after 1st half life, amount of the material will be left to half the initial amount. Hence, amount of substance left after 1000 years = 400/2 = 200 kg.

    Answer 2) For 2000 years, radioactive material has crossed 2 times the half life. Therefore, amount of the material will be left to 1/4 the initial amount. Hence, amount of substance left after 2000 years = 400/4 = 100 kg.

    Answer 3) For 4000 years, radioactive material has crossed 4 times the half life. Therefore, amount of the material will be left to 1/16 the initial amount. Hence, amount of substance left after 4000 years = 400/16 = 25 kg.
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