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WBJEE · Chemistry · Chemical Kinetics

The half-life for decay of \({ }^{14} \mathrm{~C, by~} \beta\) -emission is \(5730 \mathrm{yr}\). The fraction of \({ }^{14} \mathrm{C}\) decays, in a sample that is 22920 yr old, would be

  1. A \(\frac{1}{8}\)
  2. B \(\frac{1}{16}\)
  3. C \(\frac{7}{8}\)
  4. D \(\frac{15}{16}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{15}{16}\)

Step-by-step Solution

Detailed explanation

\(n=\frac{\text { total time }(t)}{\text { half -lite }(t / 2)}=\frac{22920}{5730}=4\)…