The growth curve of bacterial population in lab is plotted against time. What will be the shape of graph?
- Sigmoid
- Hyperbolic
- Ascending straight line
- Descending straight line
Answer
(2) Hyperbolic
Solution
As per NCERT, when resources (food and space) are unlimited, a population grows in an exponential (geometric) fashion:
dNdt = rN
⇒ Nt = N0 ert
∵ In a laboratory culture the bacteria are supplied with ample nutrients and space, the number of cells keeps multiplying with time.
⇒ A plot of population size against time gives a J-shaped curve that rises ever more steeply.
∴ The shape of the graph is the J-shaped (hyperbolic) curve.
Answer: (2)