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The count rate of a radioactive material is 800 count/min. If the half-life of the...

Physics
JAMB 2003
The count rate of a radioactive material is 800 count/min. If the half-life of the material is 4 days, what would the count rate be in 16 days later
  • A. 200 count / min
  • B. 100 count / min
  • C. 50 count / min
  • D. 25 count / min
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Correct Answer: Option C
Explanation
116 days = 4 half - lives
Thus, after 4 half lives the fraction left of any radioactive materials is given by (1/2)4 = 1/16
∴ Count rate / amount left = 1/16 x 800/1
= 50 count / min
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