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The half-life for decay of .^(14)C " by ...

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 be

A

`1//8`

B

`1//16`

C

`7//8`

D

`15//16`

Text Solution

Verified by Experts

The correct Answer is:
D
`N = N_0 (1/2)^(t//t_1) = 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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