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AP EAMCET · PHYSICS · Nuclear Physics

If \(75 \%\) of a radioactive sample disintegrates in 16 days, the half-life of the radioactive sample is

  1. A 6
  2. B 4 days
  3. C 8
  4. D 12
Verified Solution

Answer & Solution

Correct Answer

(C) 8

Step-by-step Solution

Detailed explanation

If \(N_0\) be the initial amount of radioactive sample, then after \(t=16\) day, remaining amount, \(\begin{aligned} N & =N_0-75 \% \text { of } N_0 \\ & =N_0-\frac{75}{100} N_0=\frac{N_0}{4} \end{aligned}\) Since, we know that,…