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BITSAT2023PhysicsNuclear PhysicsActual

Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B . If _A and _B are decay constants of A and B respectively, then choose the correct relation from the given options.

Options

  1. A_A= _B
  2. B_A=2 _B
  3. C_ A = _ B 2
  4. D_ A 2= _ B

Correct answer

C. _ A = _ B 2

Step-by-step solution

It is given that aligned & ( T ₁ 2 )_ A = ( T _ av )_ B & T _ 1 / 2 = n 2 and T _ av = 1 & n 2 _ A = 1 _ B _ A = _ B n 2 aligned

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