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

Question

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 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 know 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.

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Related Questions

Assertion (A) Linkage isomerism arises in coordination compounds containing ambidnetate ligand. Reason (R) Ambidentate ligand has two different donor

2 Answers 4 Views

A wheel with 20 metallic spokes each of length 8.0 m long is rotated with a speed of 120 revolution per minute in a plane normal to the horizontal com

2 Answers 4 Views

The boiling point of benzene is 353 .23 K. When 1.80 gram of non- volatile solute was dissolved in 90 gram of benzene , the boiling point is raised to

2 Answers 5 Views

A fraction `f_1` of a radioactive sample decays in one mean life, and a fraction `f_2` decays in one half life. Then

2 Answers 4 Views

A piece of wood form the ruins of an ancient building was found to have a `C^(14)` activity of 12 disintegrations per minute per gram of its carbon co

2 Answers 4 Views

A flywheel rotates about a fixed axis and slows down from 200 rpm to 100 rpm in one minute. How many revolution does the wheel complete in one minute?

2 Answers 4 Views

The extremity of the hour hand of a clock moves `(1//20)^(th)` as the minute hand. If the minute hand is 10 cm long , then the length of the hour hand

2 Answers 5 Views

A solution containing 500 g of a protein per liter is isotonic with a solution containing 3.42 g sucrose per liter. The molecular mass of protein in 5

2 Answers 7 Views

The solutions containing 6 g of urea (molecular mass =60) per `dm_(3)` of water and another containing 9 g of solute A per `dm^(3)` of water freeze at

2 Answers 6 Views

If `pi_(1)` is the osmotic pressure of solution containing 6 g. of acetic acid per `dm^(3)` and `pi_(2)` is that of a solution containing 5.85 g. of N

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Here normal activity `R_(0)=15` decays/min
Present activity R = 9 decays/min,
T = 5730 yrs
Age t = ?
As activity is proportional to the number of radio active atoms, therefore
`(N)/(N_(0))=(R )/(R_(0))=(9)/(15)`
But `(N)/(N_(0))=e^(-lambda t)`
`e^(-lambda t)=(9)/(15)=(3)/(5)`
`e^(+lambda t)=(5)/(3)`
`lambda t log_(e )e = "log"_(e )(5)/(3)= 2.3026 log 1.6667`
`lambda t = 2.3026xx0.2218=0.5109`
`t = (0.5109)/(lambda)`
`lambda =(0.963)/(T)= (0.693)/(5730)y t^(-1)`
`therefore t = (0.5109)/(0.693//5730)=(0.5109xx5730)/(0.693)`
`t = 4224.3` years