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

Question

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, 2 : 1, 3 : 2, 4 : 1, 2 : 3

MARKS App · Accepted Answer

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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