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Q. No.Which one of the following equations represent the Verhulst-Pearl Logistic Growth of population?
1. \(\frac{d \mathrm{~N}}{d t}=r N\left(\frac{N-K}{N}\right) \)
2. \(\frac{d N}{d t}=N\left(\frac{r-K}{K}\right) \)
3. \(\frac{d N}{d t}=r\left(\frac{K-N}{K}\right) \)
4. \(\frac{d N}{d t}=r N\left(\frac{K-N}{K}\right)\)
1. \(\frac{d \mathrm{~N}}{d t}=r N\left(\frac{N-K}{N}\right) \)
2. \(\frac{d N}{d t}=N\left(\frac{r-K}{K}\right) \)
3. \(\frac{d N}{d t}=r\left(\frac{K-N}{K}\right) \)
4. \(\frac{d N}{d t}=r N\left(\frac{K-N}{K}\right)\)
Subtopic: Population: Logistic Growth Model |
62%
From NCERT
NEET - 2025
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The equation of Verhulst-Pearl logisitic growth model is
\(\dfrac {dN}{dt}=rN \left[\dfrac {K-N}{K}\right ]\)
From this equation, K indicates:
1. Biotic potential
2. Carrying capacity
3. Population density
4. Intrinsic rate of natural increase
\(\dfrac {dN}{dt}=rN \left[\dfrac {K-N}{K}\right ]\)
From this equation, K indicates:
1. Biotic potential
2. Carrying capacity
3. Population density
4. Intrinsic rate of natural increase
Subtopic: Population: Logistic Growth Model |
85%
From NCERT
NEET - 2024
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The population growing in a habitat with limited resources will show:
Choose the correct answer from the options given below:
1. A and B only
2. C and D only
3. A and D only
4. B and C only
| A. | Lag phase, followed by phases of acceleration and deceleration and finally an asymptote. |
| B. | The ability to realise its innate potential to grow in number and reach enormous densities in short time. |
| C. | Exponential growth |
| D. | Logistic growth |
1. A and B only
2. C and D only
3. A and D only
4. B and C only
Subtopic: Population: Logistic Growth Model |
89%
From NCERT
NEET - 2024
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NEET 2026 - Target Batch - Vital
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What do 'a' and 'b' represent in the following population growth curve?
| 1. | 'a' represents exponential growth when responses are not limiting the growth; and 'b' represents logistic growth when responses are limiting the growth. |
| 2. | 'a' represents logistic growth when responses are not limiting the growth; 'b' represents exponential growth when responses are limiting the growth. |
| 3. | 'a' represents carrying capacity and 'b' shows logistic growth when responses are limiting the growth. |
| 4. | 'a' represents exponential growth when responses are not limiting the growth and 'b' shows carrying capacity. |
Subtopic: Population: Exponential Growth Model | Population: Logistic Growth Model |
89%
From NCERT
NEET - 2024
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Match List I with List II.
Choose the correct answer from the options given below:
| List I | List II | ||
| A. | Logistic growth | I. | Unlimited resource availability condition |
| B. | Exponential growth | II. | Limited resource availability condition |
| C. | Expanding age pyramid | III. | The percent individuals of pre-reproductive age is largest followed by reproductive and post reproductive age groups |
| D. | Stable age pyramid | IV. | The percent individuals of pre-reproductives and reproductive age group are same |
| Options: | A | B | C | D |
| 1. | II | IV | III | I |
| 2. | II | I | III | IV |
| 3. | II | III | I | IV |
| 4. | II | IV | I | III |
Subtopic: Population: Exponential Growth Model | Population: Logistic Growth Model | Age Pyramid |
93%
From NCERT
NEET - 2023
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A population with finite resources shows a logistic growth curve where the correct sequence of events will be:
| 1. | Stationary phase → Acceleration phase → Lag phase → Asymptote |
| 2. | Acceleration phase → Deceleration → Asymptote |
| 3. | Acceleration phase → Leg phase → Stationary phase |
| 4. | Lag phase → Acceleration phase → Deceleration → Asymptote |
Subtopic: Population: Logistic Growth Model |
79%
From NCERT
NEET - 2022
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Asymptote in a logistic growth curve is obtained when:
1. K = N
2. K > N
3. K < N
4. The value of 'r' approaches zero
Subtopic: Population: Logistic Growth Model |
77%
From NCERT
NEET - 2017
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NEET 2026 - Target Batch - Vital
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When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt = rN(1-N/K):
| 1. | when N nears the carrying capacity of the habitat |
| 2. | when N/K equals zero |
| 3. | when the death rate is greater than the birth rate |
| 4. | when N/K is exactly one |
Subtopic: Population: Logistic Growth Model |
68%
From NCERT
NEET - 2016
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Subtopic: Population: Logistic Growth Model |
83%
From NCERT
AIPMT - 2011
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