The half-life for decay of `.^(14)C " by " beta-`emission is 5730 years. The fraction of `.^(14)C` decays, in a sample that is 22,920 years old, would beA. `1//8`B. `1//16`C. `7//8`D. `15//16`

The half-life for decay of `.^(14)C " by " beta-`emission is 5730 year

1.	The half-life for decay of `.^(14)C " by " beta-`emission is 5730 years. The fraction of `.^(14)C` decays, in a sample that is 22,920 years old, would beA. `1//8`B. `1//16`C. `7//8`D. `15//16`
Answer» Correct Answer - D `N = N_(0) ((1)/(2))^(t//t_((1)/(2))) = N_(0) ((1)/(2))^((22920)/(5730)) = N_(0) ((1)/(2))^(4) = (N_(0))/(16)` where `N_(0)`= initial amount, N =amount left so fraction reacted `N_(0) - (N_(0))/(16) = (15)/(16) N_(0)`

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The half-life for decay of `.^(14)C " by " beta-`emission is 5730 years. The fraction of `.^(14)C` decays, in a sample that is 22,920 years old, would beA. `1//8`B. `1//16`C. `7//8`D. `15//16`

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