An antique wooden pieces weighing 50 gms shoe C¹⁴ activity of 320 disintegration per minute.Estimate how old it is as assuming, that the plant shows a C¹⁴ activity of 13 disintegration per minute per gram Half-life C¹⁴ os 5730 yrs.
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Age of archaeological sample,
t=
k
2.303
log(
N
N
0
)
(Here, N
0
= initial activity, N= remaining activity)
and k=
t
1/2
0.693
(where t
1/2
= half-life)
=
5770
0.693
yr
−1
∴t=
0.693
2.303×5770
log(
5
15
)
=19175.0log3yr
=9148 yr≈9200 yr
================================
Answer By shreyas
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