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NEET2011PhysicsNuclear PhysicsActual

The half-life of a radioactive isotope X is 50 yr . 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

  1. A200 yr
  2. B250 yr
  3. C100 yr
  4. D150 yr

Correct answer

A. 200 yr

Step-by-step solution

We know that aligned N N₀ & = ( 1 2 )^ t / t₁ / 2 1 16 & = ( 1 2 )^ t / 50 t & =4 50 t & =200 yr aligned

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