MHT CET · Maths · Differential Equations
If the half life of substance is 5 years, then the total amount of the substance left after 15 years, when initial amount is 64 gms is
- A 6 gm
- B 8 gm
- C 10 gm
- D 12 gm
Answer & Solution
Correct Answer
(B) 8 gm
Step-by-step Solution
Detailed explanation
Initial amount \(=64 \mathrm{gms}\)
Half life period \(=5\) : years
\(\therefore \quad\) Amount of substance left after 5 years \(=\frac{64}{2}=32 \mathrm{gms}\)
Amount of substance left after 10 years \(=\frac{32}{2}=16 \mathrm{gms}\)
Amount of substance left after 15 years \(=\frac{16}{2}=8 \mathrm{gms}\)
Half life period \(=5\) : years
\(\therefore \quad\) Amount of substance left after 5 years \(=\frac{64}{2}=32 \mathrm{gms}\)
Amount of substance left after 10 years \(=\frac{32}{2}=16 \mathrm{gms}\)
Amount of substance left after 15 years \(=\frac{16}{2}=8 \mathrm{gms}\)
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