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An isotope has an initial activity of 120 Bq 6 ... - JAMB Physics 2022 Question

An isotope has an initial activity of 120 Bq. 6 days later its activity is 15 Bq. What is half-life?

A

3 days

B

2 days

C

1 day

D

4 days

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Correct Option: B

Here's how to solve this problem:

  1. Understand Half-Life: Half-life is the time it takes for the activity of a radioactive substance to reduce by half.

  2. Determine the Number of Half-Lives: The activity decreased from 120 Bq to 15 Bq. Let's see how many half-lives this represents:

    • 120 Bq -> 60 Bq (1 half-life)
    • 60 Bq -> 30 Bq (2 half-lives)
    • 30 Bq -> 15 Bq (3 half-lives) So, there were 3 half-lives.
  3. Calculate the Half-Life: The total time

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