A sample of wooden artifact is found to undergo $9$ disintegrations per minute per gram of carbon. What is the approximate age of the artifact? The half-life of $_{6}^{14} C$ is $5730$ years and radioactivity of wood recently cut is $15$ disintegrations per minute per gram of carbon.

Open in App

Solution

$t = \frac{2.303}{0.693} \times 5730 \times l o g (\frac{15}{9})$
$t = 4224.47$ years

Suggest Corrections

Similar questions

Q. When charcoal is prepared from a living tree, it shows a disintegration rate of

15.3

disintegrations of

^{14} C

per gram per minute. A sample from an ancient piece of charcoal shows

^{14} C

activity to be

12.3

disintegrations per gram per minute. How old is this sample? (Half - life of

^{14} C

5730 years and ln 0.8039 = - 0.2182)

Q. When charcoal is prepared from a living tree, it shows a disintegration rate of 15.3 disintegrations of ¹⁴C per gram per minute. A sample from an ancient piece of charcoal shows ¹⁴C activity to be 12.3 disintegrations per gram per minute. How old is this sample? Half-life of ¹⁴C is 5730 y.

Q. A sample of wooden aircraft is found to undergo 9dpm

g^{- 1}

^{14} C

. The half-life of

_{6}^{14} C

is 5730 year and rate of disintegration of wood recently out down is 15 dpm per g of

_{6}^{14} C

. The approximate age of aircraft is:

When characoal is prepared from a living tree, it shows a disintegration rate of 15.3 disintegratons of $^{14}$ C per gram per minute. A sample from an ancient piece of charcoal shows $^{13}$ C activity to be 12.3 disintegrations per gram per minute. How old is this sample? Half-life of $^{13}$ C is 5730 y.

Q. The piece of wood from a recently cut tree shows

20

decays per minute. A wooden piece of same size placed in a museum (obtained from a tree cut many years back) shows

2

decays per minute. If half life of

C^{14}

5730

years, then age of the wooden piece placed in the museum is approximately

Join BYJU'S Learning Program

A sample of wooden artifact is found to undergo 9 disintegrations per minute per gram of carbon. What is the approximate age of the artifact? The half-life of 146C is 5730 years and radioactivity of wood recently cut is 15 disintegrations per minute per gram of carbon.

t=2.3030.693×5730×log(159)t=4224.47 years

A sample of wooden artifact is found to undergo $9$ disintegrations per minute per gram of carbon. What is the approximate age of the artifact? The half-life of $_{6}^{14} C$ is $5730$ years and radioactivity of wood recently cut is $15$ disintegrations per minute per gram of carbon.

$t = \frac{2.303}{0.693} \times 5730 \times l o g (\frac{15}{9})$
$t = 4224.47$ years