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JIPMER2019PhysicsNuclear Physics

Ba-122 has half life of 2 min. Experiment has to be done using Ba-122 and it takes 10 min to set up the experiment. If initially 80 g of Ba-122 was taken, how much Ba was left when experiment was started?

Options

  1. A2.5 g
  2. B5 g
  3. C10 g
  4. D20 g

Correct answer

A. 2.5 g

Step-by-step solution

As T _ 1 2 =2 ~min 10 ~min =5 half-lives We know, N N ₀ = ( 1 2 )^ n where, N = remaining of nuclei N ₀= initial number of nuclei n = number of half lives N = N ₀ 2^n = 80 2^5 = 80 32 =2.5 ~g

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