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MHT CET202615 April 2026Morning ShiftPhysicsNuclear PhysicsActual

Two different radioactive elements with half lives T₁ and T₂ have undecayed atoms N₁ and N₂ respectively, present at a given instant. The ratio of their activities at this instant is

Options

  1. AN₁ T₁ N₂ T₂
  2. BN₁ T₂ N₂ T₁
  3. CN₁ T₂ T₁ T₂
  4. DT₁ T₂ N₁ N₂

Correct answer

B. N₁ T₂ N₂ T₁

Step-by-step solution

Activity of a radioactive element is given by A = N The decay constant is related to half-life T as = 2 T For the first element, activity A₁ = 2 T₁ N₁ For the second element, activity A₂ = 2 T₂ N₂ The ratio of their activities is A₁ A₂ = 2 T₁ N₁ 2 T₂ N₂ = N₁ T₂ N₂ T₁ Answer: N₁ T₂ N₂ T₁

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