NCERT Solutions
Class 12 • Biology • Chapter 11 • Organisms and PopulationsA population has several attributes that an individual organism does not:
- Birth Rate (Natality): An individual is born, but a population has a birth rate (number of births per unit time).
- Death Rate (Mortality): An individual dies, but a population has a death rate (number of deaths per unit time).
- Sex Ratio: An individual is either male or female, but a population has a sex ratio (e.g., 60% females, 40% males).
- Age Distribution: A population is composed of individuals of different ages (pre-reproductive, reproductive, post-reproductive), which can be represented by age pyramids.
- Population Density: The number of individuals per unit area or volume.
For exponential growth: \(N_t = N_0 e^{rt}\)
Where:
\(N_t\) = Population size at time t
\(N_0\) = Initial population size
\(r\) = Intrinsic rate of increase
\(t\) = Time period
Given: Population doubles in 3 years. So, \(N_t = 2N_0\) and \(t = 3\).
\(2N_0 = N_0 e^{3r}\)
\(2 = e^{3r}\)
Taking natural log (ln) on both sides:
\(\ln(2) = 3r\)
\(0.693 = 3r\)
\(r = 0.693 / 3\)
\(r = 0.231\)
Answer: The intrinsic rate of increase (r) is 0.231.
Plants have evolved various morphological and chemical defenses against herbivores:
- Thorns: e.g., Acacia, Cactus.
- Spines: Modified leaves to prevent grazing.
- Sticky/Hairy leaves: Discourage insects.
- Toxins: e.g., Calotropis produces toxic Cardiac Glycosides. Cattle/goats do not browse on it.
- Secondary Metabolites: Nicotine, Caffeine, Quinine, Strychnine, Opium are produced primarily as defenses against grazers and browsers.
This interaction is called Commensalism.
- Orchid (Epiphyte): It benefits by getting physical support to reach sunlight and air. It does not derive nutrition from the mango tree (it has aerial roots for moisture). (Benefited +)
- Mango Tree (Host): It provides support but is neither harmed nor benefited by the presence of the orchid. (Neutral 0)
The ecological principle is Predation.
- Biological control uses natural predators (or parasites/pathogens) to control the population of pest insects.
- Predators act as a natural check on prey populations, preventing them from reaching high densities that cause economic damage.
- Example: Use of Gambusia fish to check mosquito larvae proliferation in water bodies.
- Population: A group of individuals of the same species living in a specific geographical area at a specific time, which can potentially interbreed. Example: All the lotus plants in a pond.
- Community: An assemblage of several populations of different species (plants, animals, bacteria, fungi) living and interacting in a defined area. Example: A pond community includes fish, frogs, algae, lotus plants, and bacteria.
| Interaction | Definition | Example |
|---|---|---|
| (a) Commensalism | Interaction where one species benefits (+) and the other is neither harmed nor benefited (0). | Orchid on Mango tree; Cattle egret and grazing cattle. |
| (b) Parasitism | Interaction where one species (Parasite) benefits (+) at the expense of the other (Host) which is harmed (-). | Cuscuta on hedge plants; Lice on humans; Ticks on dogs. |
| (c) Camouflage | Adaptation where an organism blends with its surroundings to avoid detection by predators. | Frogs and insects blending with leaves/bark to escape predators. |
| (d) Mutualism | Interaction where both participating species benefit (+, +). | Lichens (Algae + Fungi); Mycorrhiza (Fungi + Roots of higher plants). |
| (e) Interspecific Competition | Competition between two different species for the same limited resources (-, -). | Flamingoes and resident fishes competing for zooplankton in South American lakes. |
Logistic growth occurs when resources (food, space) are limited. The growth curve is Sigmoid (S-shaped).
- Lag Phase: Initial slow growth as the population adapts to the environment.
- Log (Acceleration) Phase: Rapid growth as individuals reproduce.
- Deceleration Phase: Growth rate slows down as resources become limited.
- Asymptote: Population density reaches the Carrying Capacity (K) and stabilizes.
\(\frac{dN}{dt} = rN \left(\frac{K-N}{K}\right)\)
Where \(N\) = Population density, \(r\) = Intrinsic rate of increase, \(K\) = Carrying capacity.
(d) One organism is benefited, other is affected.
Explanation: In parasitism, the parasite gets nutrition/shelter (Benefited +) from the host, while the host suffers damage or loss of nutrients (Affected/Harmed -).
- Population Density: It is the size of the population in relation to some unit of space. It is expressed as the number of individuals per unit area (for land) or volume (for water). E.g., 200 Parthenium plants per acre.
- Natality (Birth Rate): It refers to the number of births during a given period in the population that are added to the initial density. It is expressed as births per 1000 individuals per year.
- Mortality (Death Rate): It refers to the number of deaths in the population during a given period. It is expressed as deaths per 1000 individuals per year.