NTA Abhyas JEE Main2020PhysicsNuclear PhysicsPractice
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
- A2 : 1
- B3 : 2
- C4 : 1
- 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