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Question

Mortality rate equals birth rate when population reaches ____________.

A
r
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B
K
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C
N
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D
dN
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Solution

The correct option is B K
Mortality refers to the number of deaths in a population per unit time.
Birth rate refers to the number of births in a population per year.

A population growing in a habitat with limited resources, initially shows a phase of slow growth (lag phase), where the birth rate is less as the individuals are getting adapted to the new environment. This is followed by a phase of acceleration (log phase) where the number of births is more than the number of deaths. Then, the population shows deceleration and finally reaches carrying capacity (K) which is the maximum number of individuals of a population that can be sustained in a given habitat. This is called the stationary phase.
Once the population reaches carrying capacity, the mortality becomes equal to birth rate. Hence, the answer is option b.

Intrinsic rate of natural increase is represented by ‘r’. It is the difference between the number of births and the number of deaths in a population per year. A higher value of r in a population signifies a steady increase in growth.

dN in a population represents a change in the number of individuals from the initial population size.

N represents the population density in a population. It is the number of individuals per unit area.

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