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TS EAMCET · Physics · Nuclear Physics

If a radioactive substance decays \(10 \%\) in every 16 hours, then the percentage of the radioactive substance that remains after 2 days is

  1. A 82.2
  2. B 18.8
  3. C 27.1
  4. D 72.9
Verified Solution

Answer & Solution

Correct Answer

(D) 72.9

Step-by-step Solution

Detailed explanation

\( \text{Time in hours} = 2 \text{ days} \times 24 \text{ hours/day} = 48 \text{ hours} \) \( \text{Number of decay periods} = \frac{48 \text{ hours}}{16 \text{ hours/period}} = 3 \) \( \text{Fraction remaining per period} = 1 - 0.10 = 0.90 \)…