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Question: Answered & Verified by Expert
Remaining quantity (in\%) of radioactive element after 5 half lives is
PhysicsNuclear PhysicsJIPMERJIPMER 2014
Options:
  • A $4.125 \%$
  • B $3.125 \%$
  • C $31.1 \%$
  • D $42.125 \%$
Solution:
2977 Upvotes Verified Answer
The correct answer is: $3.125 \%$
Remaining quantity
$N=N_0\left(\frac{1}{2}\right)^n=N_0\left(\frac{1}{2}\right)^5=\frac{N_0}{32}$
In percentage, $N=\frac{N_0}{30 \times N_0} \times 100=3.125 \%$

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