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Question: Answered & Verified by Expert
Bismuth has half life period of 5 days. A sample originally has a mass of $1000 \mathrm{mg}$, then the mass of Bismuth after 30 days is
MathematicsDifferential EquationsMHT CETMHT CET 2021 (22 Sep Shift 1)
Options:
  • A 16.625
  • B 13.625
  • C 14.625
  • D 15.625
Solution:
1907 Upvotes Verified Answer
The correct answer is: 15.625
Half life period of bismuth is 5 days.
Initial mass $=1000 \mathrm{mg}$
$\therefore \quad$ Mass left after 5 days $=500 \mathrm{mg}$
Mass left after 10 days $=250 \mathrm{mg}$
Mass left after 15 days $=125 \mathrm{mg}$
Mass left after 20 days $=62.5 \mathrm{mg}$
Mass left after 25 days $=31.25 \mathrm{mg}$
Mass left after 30 days $=15.625 \mathrm{mg}$

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