Atoms And Nuclei Question 363

Question: ` Half lives of two isotopes X and Y of a material are known to be 2×109years and 4×109years, respectively If a planet was formed with equal number of these isotopes, then the current age of planet, given that currently the material has 20% of X and 80% of Y by number, will be

Options:

A) 2×109years

B) 4×109years,

C) 6×109years

D) 8×109years

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Answer:

Correct Answer: D

Solution:

  • Nx=N02eλ1t=0.2N0,Ny=N02eλ2t=0.8N0 e(λ1λ2)=4t=8×109 years


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