MHT CET · Maths · Differential Equations
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
- A 16.625
- B 13.625
- C 14.625
- D 15.625
Answer & Solution
Correct Answer
(D) 15.625
Step-by-step Solution
Detailed explanation
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 \(=15.625 \mathrm{mg}\)
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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