CBSE Class 12 Biology 2024: question 19
Set in the CBSE Class 12 board exam of 2024, paper 57/5/1, section B, question 19, for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q19 · 2 marks · Very short answerCompetency-basedOrganisms and Populations
Observe the population growth curve and answer the questions given below.
- (a)1 mark
State the conditions under which growth curve 'A' and growth curve 'B' plotted in the graph are possible.
- (b)1 mark
Mention what does 'K' in the graph represent.
Figure in the paper: Graph of population density (N) vs time (t). Curve A rises steeply exponentially, labelled dN/dt = rN. Curve B is sigmoidal and levels off at a dotted horizontal line marked K, labelled dN/dt = rN((K-N)/K). See it in the official paper.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 57/5/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
One curve keeps rising and the other levels off. What could stop a population from growing?
Hint 2
Compare the two equations: what does the factor (K−N)/K introduce?
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- ½ mark
(a) Curve A (exponential, ) is possible when resources such as food and space are unlimited and there is no environmental resistance.
- ½ mark
(a) Curve B (logistic/sigmoid, ) is possible when resources are limited, so competition and environmental resistance check further growth.
- 1 mark
(b) K is the carrying capacity: the maximum number of individuals of a population that a given habitat can support. Beyond this limit no further growth is possible.
Answer: (a) A: unlimited resources, no environmental resistance; B: limited resources, with environmental resistance. (b) K = carrying capacity.
Where the marks are
- Curve A: unlimited resources or no environmental resistance (½ mark)
- Curve B: limited resources or environmental resistance present (½ mark)
- K is the carrying capacity, the maximum population a habitat can support (1 mark)
Revise the chapter
- Chapter: Organisms and Populations (notes, formulas, where marks are lost and every past question)
- Topic: Population Growth: Exponential and Logistic
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The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.