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Question: Answered & Verified by Expert
The half-life of Au198 is 2.7 days. The activity of 1.50 mg of Au198, if its atomic weight is 198 g mol-1 is, NA=6×1023 mol-1
PhysicsNuclear PhysicsJEE MainJEE Main 2021 (16 Mar Shift 2)
Options:
  • A 240 Ci
  • B 357 Ci
  • C 535 Ci
  • D 252 Ci
Solution:
2376 Upvotes Verified Answer
The correct answer is: 357 Ci

The activity will be

A=λN

Now,

λ=ln2t12 and N=1.5×10-3198×6×1023

Therefore, activity in Ci,

A=ln2t12×1.5×10-3198×6×10233.7×10-10=ln22.7×24×60×60×1.5×10-3198×6×10233.7×10-10=366 Ci357 Ci

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