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JEE Advanced · Physics · 28. Nuclear Physics

Half-life of a radio active substance ' \(A\) ' is 4 days. The probability that a nucleus will decay in two half-lives is

  1. A \(\frac{1}{4}\)
  2. B \(\frac{3}{4}\)
  3. C \(\frac{1}{2}\)
  4. D 1
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Answer & Solution

Correct Answer

(B) \(\frac{3}{4}\)

Step-by-step Solution

Detailed explanation

After two half lives \(\frac{1}{4}\) th fraction of nuclei will remain undecayed. Or, \(\frac{3}{4}\) th fraction will decay. Hence, the probability that a nucleus decays in two half lives is \(\frac{3}{4}\).
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