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AP EAMCET · PHYSICS · Nuclear Physics

A mixture consists of two radioactive materials \(A_1\) and \(A_2\) with half lives of 20 s and 10 s respectively. Initially the mixture has 40 g of \(\mathrm{A}_1\) and 160 g of \(\mathrm{A}_2\). The amount of the two in the mixture will become equal after

  1. A 60 s
  2. B 80 s
  3. C 20 s
  4. D 40 s
Verified Solution

Answer & Solution

Correct Answer

(D) 40 s

Step-by-step Solution

Detailed explanation

For radioactive material \(\mathrm{A}_1\), \(\mathrm{N}_1=\mathrm{N}_{\mathrm{ol}}\left(\frac{1}{2}\right)^{\mathrm{n}}=40\left(\frac{1}{2}\right)^{\mathrm{t}_{1 / 20}}\ldots(i)\) For radioactive material…
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