A piece of wood from the ruins of an ancient building was found to | Filo

DOWNLOAD APPCONTACT USBLOGBECOME A FILOABOUT USHOME

HOME ABOUT US BECOME A FILO BLOG CONTACT US DOWNLOAD APP

Class 12 Physics Modern Physics Nuclei

A piece of wood from the ruins of an ancient building was found to have a

C^{14}

activity of

12

disintegration per minute per gram of its carbon content. The

C^{14}

activity of the living wood is

16

disintegration per minute per gram. How long ago did the tree, from which the wooden sample came, di? Given half-life of

C^{14}

is

5760

years.

Solution: Rate of disintegration in old wood sample of C-14 radioactive atms is

12

atoms per min gm. Initially rate of distintegration of

C - 14

when the tree was live

= 16

atoms per min per gm.

T_{1 / 2}

of C-14 nuclei

= 5760

years
According to radioactive decay law

= N_{0} e^{- λ t} o r R = R_{0} e^{- λ t}

12 = 16 e^{- λ t} \Rightarrow e^{λ t} = \frac{1 6}{1 2}

lo g_{e} e^{λ t} = lo g_{e} \frac{4}{3}

λ t = lo g_{e} \frac{4}{3}

t = \frac{2 . 3 0 3 \times lo g _{10} \frac{4}{3}}{λ} (∵ λ = \frac{0 . 6 9 3 1}{T _{1 / 2}})

= \frac{2 . 3 0 3 \times ( lo g 4 - lo g 3 ) \times 5 7 6 0}{0 . 6 9 3 1} y e a r

∴ t = \frac{2 . 3 0 3 ( 0 . 6 0 6 0 - 0 . 4 7 7 1 ) 5 7 6 0}{0 . 6 9 3 1} = 2391.20 y e a r s

widgit image

Want to learn more from experts on video call? Download Filo.

image to download the app

Similar topics

solid and semiconductor devices

nuclear physics

electrons and photons

atomic physics

nuclei

widgit image

Want to learn more from experts on video call? Download Filo.

image to download the app

solid and semiconductor devices

nuclear physics

electrons and photons

atomic physics

nuclei

A pieces of bone an animals from a ruin is found to have

^{14} C

activity of 12 disintegrations per minute per gm of its carbon content. The

^{14} C

activity of of a living animal is 16 disintegration per minute per gm How long ago nearly did the animal die?
(Given half of life

^{14} C

t_{1 / 2}

play button image

14

dating is used to estimate the age of an archeological specimen.

play button image

The normal activity of living carbon-containing matter is found to be about 15 decays per minute for every gram of carbon. This activity arises from the small proportion of radioactive

_{6}^{14} C

present with the stable carbon isotope

_{6}^{12} C

. When the organism is dead, its interaction with the atmosphere (which maintains the above equilibrium activity) ceases and its activity begins to drop. From the known half-life ( 5730 years) of

_{6}^{14} C

, and the measured activity, the age of the specimen can be approximately estimated. This is the principle of

_{6}^{14} C

dating used in archaeology. Suppose a specimen from Mohenjodaro gives an activity of 9 decays per minute per gram of carbon. Estimate the approximate age of the Indus-Valley civilisation.

play button image

Why does the radiation C deflect more than A?

play button image

Which among the three causes the least biological damage externally?

play button image

The rest mass of an electron as well so that of positron is

0.51 c M e V

. When an electron and positron are annihilate they produce gamma-rays of wavelength(s)

play button image

When charcoal is prepared from a living tree, it shows a disintegration rate of 15.3 disintegration of

^{14} C

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

^{14} C

activity to be 12.3 disintegration per gram per minute . how old is this sample? half-life of

^{14} C

play button image

Name the radiation which is used in carbon dating.

play button image

A pieces of bone an animals from a ruin is found to have

^{14} C

activity of 12 disintegrations per minute per gm of its carbon content. The

^{14} C

activity of of a living animal is 16 disintegration per minute per gm How long ago nearly did the animal die?
(Given half of life

^{14} C

t_{1 / 2}

play button image

14

dating is used to estimate the age of an archeological specimen.

play button image

The normal activity of living carbon-containing matter is found to be about 15 decays per minute for every gram of carbon. This activity arises from the small proportion of radioactive

_{6}^{14} C

present with the stable carbon isotope

_{6}^{12} C

. When the organism is dead, its interaction with the atmosphere (which maintains the above equilibrium activity) ceases and its activity begins to drop. From the known half-life ( 5730 years) of

_{6}^{14} C

, and the measured activity, the age of the specimen can be approximately estimated. This is the principle of

_{6}^{14} C

dating used in archaeology. Suppose a specimen from Mohenjodaro gives an activity of 9 decays per minute per gram of carbon. Estimate the approximate age of the Indus-Valley civilisation.

play button image

Why does the radiation C deflect more than A?

play button image

Which among the three causes the least biological damage externally?

play button image

The rest mass of an electron as well so that of positron is

0.51 c M e V

. When an electron and positron are annihilate they produce gamma-rays of wavelength(s)

play button image

When charcoal is prepared from a living tree, it shows a disintegration rate of 15.3 disintegration of

^{14} C

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

^{14} C

activity to be 12.3 disintegration per gram per minute . how old is this sample? half-life of

^{14} C

play button image

Name the radiation which is used in carbon dating.

play button image

Home
About Us
Blog
Become a Filo
Contact Us

Legal
Privacy Policy and Terms & Conditions
Download App

Copyright FILO EDTECH PVT. LTD. 2021

Home
About Us
Blog
Become a Filo
Contact Us

Legal
Privacy Policy and Terms & Conditions
Download App

Copyright FILO EDTECH PVT. LTD. 2021