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A piece of wood was found to have ""^(14...

A piece of wood was found to have `""^(14)C//^(12)C` ratio 0.7 times that in a living plant. Calculate the period (in years) when the plant died. (`t_((1)/(2)) " for " C^(14)= 5760yr`)

A

2770 yr

B

2966 yr

C

2980 yr

D

3070 yr

Text Solution

Verified by Experts

The correct Answer is:
B
Given , `N_0 = 1 , N_(t) = 0.70 and t_(1//2) = 5760 ` yr
`k = (0.693)/(t_(1//2)) = (0.693)/(5760)`
We also know , k `=(2.303)/(t) log (N_0)/(N_t) = (0.693)/(5760)`
or `t= (2.303 xx 5760 xx 0.155)/(0.693) = 2966` yr
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