MHT CET · Maths · Differential Equations
The bacteria increase at the rate proportional to the number of bacteria present. If the original number N doubles in 8 hours, then the number of bacteria in 24 hours will be
- A 8 N
- B 16 N
- C 32 N
- D 64 N
Answer & Solution
Correct Answer
(A) 8 N
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll} & \text { Initial number of bacteria }=\mathrm{N} \\ \therefore \quad & \text { After } 8 \text { hours number of bacteria }=2 \mathrm{~N} \\ \therefore \quad & \text { After } 16 \text { hours number of bacteria }=4 \mathrm{~N} \\ \therefore \quad & \text { After } 24 \text { hours number of bacteria }=8 \mathrm{~N}\end{array}\)
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