Determine the average `.^(14)C` activity in decays per minute per gram of natural carbon found in living organisms if the concentration of `.^(14)C` relative to that of `.^(12)C` is `1.4 xx 10^(-12)` and half life of `.^(14)C` is `T_(1//2) = 5730` years.

The decay rate of .^(14)C in 1g of carbon in a living organism is

(a) Determine the number of carbon ._6^(14)C atoms present for every gram of carbon ._6^(12)C in a living organism. Find (b) The decay constatnt and (c ) the activity of this sample.

It is known that the ratio of .^(14)C to .^(12)C atoms in living beings and atmosphere is a constant. In one experiment it was found that the radiocarbon activity of a living thing is 16 disintegration per minute per gram of carbon content. Find the ratio of .^(14)C to .^(12)C atoms in your body. Half life of beta decay of .^(14)C is 5760yr= 0.03xx10^(9) minute.

A bone suspected to have originated during the period of Ashoka the Great, was found in Bihar. Accelrator techniques gave its (.^(14)C)/(.^(12)C) ratio as 1.1xx10^(-12) is the bone old enough to have belonged to that period? (Take initial ratio of .^(14)C with .^(12)C=1.2xx10^(-12) and half-life of .^(14)C=5730 years).

The isotope of carbon C^(14) has half lift 5730 years . If the ratio of C^(14) to C^(12) is 1.3 xx 10^(-13) in a wood sample then find activity of sample of 1 g of wood-

The half life of C^(14)(lambda=2.31xx10^(-4) per year) is

What is the mass of ""^(14)C isotope that will have an activity of one curie if half-life period of ""^(14)C is 5730 years ?

Carbon 14 is used to determine the age of organic material. The procerdure is based on the formation of .^(14)C by neutron capture in the upper atmosphere. ._(7)^(14)N + ._(0)^(1)n rarr ._(6)^(14)C + ._(1)n^(1) .^(14)C is abosorbed by living organisms during phostosythesis. The .^(14)C content is constant in living organisms once the plant or animal dies, the uptake of carbon dioxide by it ceases and the level of .^(14)C in the dead being, falls due to the decay which .^(14)C undergoes. ._(6)^(14)C rarr ._(7)^(14)C + beta^(-) The half-life period of .^(14)C is 5770 years. The decay constant (lambda) can be calculated by using the following formula lambda = (0.693)/(t_(1//2)) The comparison fo the beta^(-) activity fo the dead matter with that of the carbon still in circulation enables measurement of the period of the isolation the materail form the living cycle. The method however, ceases to be accurate ever periods longer than 30,000 years. The proportaion of .^(14)C to .^(12)C living matter is 1:10^(12) . A nulcear explosion has taken place leading to increases in conventration of ^(14)C in nearly areas. ^(14)C concentration is C_(1) in nearby areas and C_(2) in areas far away. If the age of the fossil is detemined to be T_(1) and T_(2) at the places respectively, then: