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AP EAMCET2009PhysicsNuclear Physics

Two radioactive materials X₁ and X₂ have decay constants 10 and 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. A(1 / 10 )
  2. B1 /(11 )
  3. C11 /(10 )
  4. D1 /(9 )

Correct answer

C. 11 /(10 )

Step-by-step solution

aligned & N₁=N₀ e^ -10 t & N₂=N₀ e^ - t aligned aligned & N₁ N₂ = 1 e =e⁻¹=e^ (-10 + ) t & =e^ -9 t & t= 1 9 & aligned

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