JEE Main 2024ChemistryChemical KineticsHardNumerical

JEE Main 2024 — Chemical Kinetics Question with Solution

JEE Main 2024 (01 Feb Shift 1)

Question

The ratio of C14C12 in a piece of wood is 18 part that of atmosphere. If half life of C14 is 5730 years, the age of wood sample is ..... years.

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Show full solutionCorrect answer: 17190
Correct answer
17190

Step-by-step explanation

Given half life of C14= 5730 years.

λt=lnC14/C12atmosphere C14/C12wood sample 

As per the question,

C14/C12woodC14/C12atmosphere=18

So, λt=ln8

ln 2t1/2t=ln 8

t=3×t1/2=3×5730=17190 years

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About this question

This is a previous-year question from JEE Main 2024, covering the Chemical Kinetics chapter of Chemistry. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.