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NEET2018PhysicsNuclear PhysicsActual

The activity of a sample of radioactive material is A₁ at time t₁ and A₂ at time t₂ (t₂>t₁ ) . If its mean life is T , then

Options

  1. AA₁ t₁=A₂ t₂
  2. BA₁-A₂=t₂-t₁
  3. CA₂=A₁ e^ (t₁-t₂ ) / T
  4. DA₂=A₁ e^ (t₁ / t₂ ) T

Correct answer

C. A₂=A₁ e^ (t₁-t₂ ) / T

Step-by-step solution

aligned & A₁= ( d N d t )₁= N₁= N₀ e^ - t₁ & A₂= ( d N d t )₂= N₂= N₀ e^ - t₂ & A₂ A₁ = e^ - t₂ e^ - t₁ =e^ (t₁-t₂ ) & A₂ A₁ =e^ (t₁-t₂ ) / T or A₂=A₁ e^ (t₁-t₂ ) / T aligned

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