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Question: Answered & Verified by Expert
The half-life of a radioactive element is $10 \mathrm{~h}$. The fraction of initial radioactivity of the element that will remain after $40 \mathrm{~h}$ is
PhysicsNuclear PhysicsAP EAMCETAP EAMCET 2012
Options:
  • A $\frac{1}{2}$
  • B $\frac{1}{16}$
  • C $\frac{1}{8}$
  • D $\frac{1}{4}$
Solution:
1873 Upvotes Verified Answer
The correct answer is: $\frac{1}{16}$
After 4 half-lifes
$\frac{N_0}{2^4}=\frac{N_0}{16}$

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