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vaieri [72.5K]
3 years ago
15

Suppose that an Egyptian farmer claims to have discovered a linen burial cloth used during Egypt's Middle Kingdom some 4000 year

s ago. Careful analysis shows that the cloth contains 80% of the ^{14}{\rm C} that it is estimated to have originally contained. How old is the cloth?
Physics
1 answer:
enyata [817]3 years ago
7 0

Answer:

the cloth is old by 1,844 years

Explanation:

The computation is shown below:

The half-life of C^(14) is 5730 years

Now

\lambda =1.210 × 10^-4 years^(-1)

Now

N(t) = Ce^{-\lambda\times t}

0.8 \times (N_0) = N_0 \times e^{-\lambda \times t}\\\\ln(0.8) = (-\lambda \times t)\\\\t = \frac{-(ln(0.8))}{\lambda}

\lambda = .000121,

so t = 1844 yrs

hence, the cloth is old by 1,844 years

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