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JEE Advanced2006ChemistryChemical KineticsActual

Paragraph: Carbon-14 is used to determine the age of organic material. The procedure is based on the formation of ¹⁴ C by neutron capture in the upper atmosphere. ₇¹⁴ ~N + ₀^1 n ₆¹⁴ C + ₁ n^1 ¹⁴ C is absorbed by living organisms during photosynthesis. The ¹⁴ C content is constant in living organism 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

Options

  1. AThe age of the fossil will increase at the place where explosion has taken and T₁-T₂= 1 C₁ C₂
  2. BThe age of the fossil will decrease at the place where explosion has taken place and T₁-T₂= 1 C₁ C₂
  3. CThe age of fossil will be determined to be same
  4. DT₁ T₂ = C₁ C₂

Correct answer

A. The age of the fossil will increase at the place where explosion has taken and T₁-T₂= 1 C₁ C₂

Step-by-step solution

All radioactive decays are the examples of first order kinetics. So, decay constant = 1 T₁-T₂ C₁ C₂ C₁ is the concentration at T₁ time C₂ is the concentration at T₂ time So, T₁-T₂= 1 C₁ C₂

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