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Standard XII

Physics

Half Life and Average Life

The half-life...

Question

The half-life for radioactive decay of ¹⁴C is 5730 years. An archaeological artifact containing wood had only 80% of the ¹⁴C found in a living tree. Estimate the age of the sample.

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Solution

Here,

It is known that,

= 1845 years (approximately)

Hence, the age of the sample is 1845 years.

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Similar questions

The half-life for radioactive decay of $^{14} C$ is 5730 yr. An archaeological artifact containing wood had only $80 %$ of the $^{14} C$ found in a living tree. Estimate the age of the sample.

Q. The half-life for radioactive decay of

C - 14

5730

years. An archaeological artifact containing wood had only

80

% of the

C - 14

found in a living tree. The age of the sample is ?

Q. An old sample of wood from an archaeological excavation was found to have a radioactivity of about 140.8 counts per minute due to

^{14} C (t_{1 / 2} = 5730

years) as against 281.6 counts per minute for that of a freshly cut piece of wood. What is the age of the old sample of wood (in millennia, 1 millennium= 1000 years)?

Q. The age of a sample of wood (in years), if only

\frac{1}{16}

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^{14} C

is present in its piece, is, (Half life of

^{14} C

5580

years)

Q. 1 g of

^{14} C

from an archaeological sample gives 9.4 counts

m i n^{- 1}

. 1 g of

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from a recently cut tree given 15.3 counts

m i n^{- 1}

under the same conditions. How old is the archaeological sample? (

T_{50}

^{14} C

is 5730 years).

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The half-life for radioactive decay of 14C is 5730 years. An archaeological artifact containing wood had only 80% of the 14C found in a living tree. Estimate the age of the sample.

Here, It is known that, = 1845 years (approximately) Hence, the age of the sample is 1845 years.

The half-life for radioactive decay of ¹⁴C is 5730 years. An archaeological artifact containing wood had only 80% of the ¹⁴C found in a living tree. Estimate the age of the sample.

Here,

It is known that,

= 1845 years (approximately)

Hence, the age of the sample is 1845 years.