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A radioactive element has a half life of 4 days. The fraction that has decayed...

Physics
JAMB 2006

A radioactive element has a half life of 4 days. The fraction that has decayed in 16 days is?

  • A. \(\frac{15}{16}\)
  • B. \(\frac{1}{16}\)
  • C. \(\frac{3}{4}\)
  • D. \(\frac{1}{4}\)
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Correct Answer: Option A
Explanation

16 days = 4 half-lives.
The fraction left 16 days = after 4 half live, = (1/2)4 = (1)/16

Fraction that decayed = 1- \(\frac{1}{16}\)

 \(\frac{15}{16}\)


 

There is an explanation video available below.

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Explanation Video

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