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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Physics
Chapter
Nuclear Physics

JIPMER 2019 · Physics · Nuclear Physics

Ba-122 has half life of 2 min. Experiment has to be done using...

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 T12=2 min⇒10 min=5\mathrm{T}_{\frac{1}{2}}=2 \mathrm{~min} \Rightarrow 10 \mathrm{~min}=5 half-lives We know, NN0=\frac{\mathrm{N}}{\mathrm{N}_0}=\left(\frac{1}{2}\right)^{\mathrm{n}}where,where,\quad \mathrm{N}=remainingofnucleiremaining of nuclei\mathrm{N}_0=initialnumberofnucleiinitial number of nuclei\mathrm{n}=numberofhalflivesnumber of half lives\Rightarrow \quad \mathrm{N}=\frac{\mathrm{N}_0}{2^n}=\frac{80}{2^5}=\frac{80}{32}=2.5 \mathrm{~g}
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