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JEE Main20205 Sep 2020Morning ShiftPhysicsNuclear PhysicsActual

Activities of three radioactive substances A , B and C are represented by the curves A , B and C , in the figure. Then their half-lives T 1 2 A : T 1 2 B : T 1 2 C are in the ratio:

Options

  1. A2 :   1 :   1
  2. B3 :   2 :   1
  3. C2 :   1 :   3
  4. D4 :   3 :   1

Correct answer

C. 2 :   1 :   3

Step-by-step solution

R = R 0 e - λ t ln R = - λ · nt + ln R 0 Slope = ln 2 t 1 / 2 = λ T 1 A : T 1 B : T 1 C = 2 : 1 : 3

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