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NEET2017PhysicsNuclear PhysicsActual

Two radioactive materials X₁ and X₂ have decay constants 6 and 3 respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X₁ to that of X₂ will be 1 e after a time

Options

  1. A1 6
  2. B1 3
  3. C3 6
  4. D6 9

Correct answer

B. 1 3

Step-by-step solution

The ratio of number of nuclei of X₁ to that of X₂ after time t, N₁ N₂ = 1 e N₀ e^ -6 t N₀ e^ -3 t = 1 e ( N=N₀ e^ - t ) or 1 e^ 3 t = 1 e or 3 t=1 t= 1 3

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