Atoms And Nuclei Question 375

Question: The half-life of a radioactive isotope ‘X’ is 50 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y were found to be in the ratio of 1:15 in a sample of a given rock. The age of the rock was estimated to be

Options:

A) 150 years

B) 200 years

C) 250 years

D) 100 years

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let number of atoms in

    X=Nx Number of atoms in Y=Ny

    By question NxNy=115
    Part of Nx=116(Nx+Ny)=124(Nx+Ny)

    So, total 4 half-lives are passed, so, age of rock is 4×50=200 years



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