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MHT CET202314 May 2023Evening ShiftPhysicsNuclear PhysicsActual

Half life of radio-active element is 1600 years. The fraction of sample remains undecayed after 6400 years will be

Options

  1. A1 16
  2. B1 4
  3. C1 8
  4. D1 24

Correct answer

A. 1 16

Step-by-step solution

N N ₀ = ( 1 2 )^ t T Here, t =6400 years and T =1600 years N N ₀ = ( 1 2 )^ 6400 1600 = ( 1 2 )^4= 1 16

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