Apiece of cloth is dated using carbon-14. the cloth is determined to be 1400 years old. the half-life of c-14 is 5730 years. the c-14 radioactivity in the cloth will be the radioactivity in a new cloth.

84.4 %

Explanation:

Let the activity of carbon is dN / dt.

Us ethe law of radioactivity

Where, λ is decay constant and t be the time

λ = 0.6931 / T

Where, T be the halflife

λ = 0.6931 / 5730 per year

λt = 0.6931 x 1400 / 5730 = 0.1693

dN/dt = 0.844

it becomes 84.4%.

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