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A radioactive sample has a half-life of ...

A radioactive sample has a half-life of 4 years. Calculate the time in which the activity will be reduced to 25%.

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To solve the problem of determining the time it takes for the activity of a radioactive sample to reduce to 25% of its initial value, given that the half-life is 4 years, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the concept of half-life**: The half-life (t₁/₂) of a radioactive substance is the time required for half of the radioactive nuclei in a sample to decay. Here, the half-life is given as 4 years. 2. **Determine the fraction of activity**: ...
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Knowledge Check

  • A radioactive sample has a half-life of 20 years. The time at which the activity of the sample will reduce to 10% of its initial value is

    A
    75 y
    B
    85 y
    C
    66 y
    D
    45 y
  • A radioactive isotope has a half-life of T years. After how much time is its activity reduced to 6.25% of its original activity ? Given T _(1//2)=T

    A
    6T
    B
    8T
    C
    4T
    D
    5 T
  • A sample of radioactive substance loses half of its activity in 4 days. The time in which its activity is reduced to 5% is

    A
    (a) 12 days
    B
    (b) 8.3 days
    C
    (c) 17.3 days
    D
    (d) None of these
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