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The atomic ratio between the uranium isotopes 238 U and 234 U in a mineral sample is found to be 1.8 × 10 4 . The half life of 234 U is T 1 2 234 = 2.5 × 10 5 years. The half-life of 238 U is-

Options

  1. A4.5 × 10 9 years
  2. B5.4 × 10 9 years
  3. C4.5 years
  4. D5.4 years

Correct answer

A. 4.5 × 10 9 years

Step-by-step solution

In radioactive equilibrium λ 1 N 1 = λ 2 N 2 N 1 T 1 = N 2 T 2 T 2 = N 2 N 1 × T 1 T 2 = 1.8 × 10 4 × 2.5 × 10 5 T 2 = 4.5 × 10 9 y e a r s

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