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A nuclear reactor starts producing a radionuclide of half-life T at a constant rate R starting at time t = 0 The activity of the radionuclide at t = T is found to the A . Then R A is

Options

  1. A2 : 1
  2. B3 : 2
  3. C4 : 1
  4. D2 : 3

Correct answer

A. 2 : 1

Step-by-step solution

d N d t = R - λ N ∫ O N d N R - λ N = ∫ 0 t d t N = R λ ( 1 - e - λ t ) At t = T = l n 2 λ ;       A = R 2 ⇒ R A = 2

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