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BITSAT Physics Nuclear Physics 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Physics Question (2023) — Solution

Question

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

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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