Archaeologists use the radioactive decay of carbon-14 to estimate the age of fossils and can be used on samples of bone, cloth, wood and plant fibers. the half-life of carbon-14 is 5,730 years. several human bones have been unearthed at an archaeological dig. 25% of the original carbon-14 isotope is remaining and scientists estimate the bones to be years old.

The age of bones was estimated to be 11,462 years old.

Explanation:

Formula used :

where,

= initial mass of isotope

N = mass of the parent isotope left after the time, (t)

= half life of the isotope

= decay constant

We have:

= x, N = 25% of x = 0.25 x

t = ? .

Now put all the given values in this formula, we get

t = 11,462.4338 years ≈ 11,462 years

The age of bones was estimated to be 11,462 years old.

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