COMEDK · Physics · 29. Nuclear Physics
Ba-122 has half-life of \(2 \mathrm{~min}\). Experiment has to be done using \(B a-122\) and it takes 10 min to set up the experiment. It initially \(80 \mathrm{~g}\) at \(\mathrm{Ba}-122\) was taken, how much Ba was left when experiment was started?
- A \(2.5 \mathrm{~g}\)
- B \(5 \mathrm{~g}\)
- C \(10 \mathrm{~g}\)
- D \(20 \mathrm{~g}\)
Answer & Solution
Correct Answer
(A) \(2.5 \mathrm{~g}\)
Step-by-step Solution
Detailed explanation
The half-life of Ba-122 is given as \(T_{1/2} = 2 \text{ min}\). The time elapsed before the experiment starts is \(t = 10 \text{ min}\). The number of half-lives \(n\) that have passed is calculated as \(n = \dfrac{t}{T_{1/2}} = \dfrac{10}{2} = 5\). The amount of substance…
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