MHT CET · Maths · Differential Equations
If the half life period of a substance is 5 years, then the total amount of the substance left after 15 years, when initial amount is \(64 \mathrm{gms}\) is
- A 8 gms
- B 16 gms
- C 2 gms
- D 32 gms
Answer & Solution
Correct Answer
(A) 8 gms
Step-by-step Solution
Detailed explanation
Half life period \(=5\) years
Initial quantity of substance \(=64\) grams
\(\therefore\) Quantity left after 5 years \(=\frac{64}{2}=32\) grams
\(\therefore\) Quantity left after 10 years \(=\frac{32}{2}=16\) grams
\(\therefore\) Quantity left after 15 years \(=\frac{16}{2}=8\) grams
Initial quantity of substance \(=64\) grams
\(\therefore\) Quantity left after 5 years \(=\frac{64}{2}=32\) grams
\(\therefore\) Quantity left after 10 years \(=\frac{32}{2}=16\) grams
\(\therefore\) Quantity left after 15 years \(=\frac{16}{2}=8\) grams
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