Logistic Growth Equation

Q. Mathematically arithmetic growth is expressed as $L_t=L_0+rt$ In this equation 'r' represents

1. Length at time '0'

2. Elongation per unit time

3. Reduced growth at time 't'

4. Length at time 't'

Q.

Asymptote is a logistic growth curve is obtained when-

1. The value of ‘r’ approaches zero

2. K = N

3. K > N

4. K < N

Q.

With the help of suitable diagram describe the logistic population growth curve.

Q. Discuss why Drosophila has been used extensively for genetic studies.

Q. In the equation $W_t=W_o{e}^{rt}$, 'r' Is

1. The measure of the ability of the plant to produce new plant material

2. Relative growth rate

3. An efficiency index

4. All of these

Q.

Read the given statements of assertion and reason and choose the correct option.

Assertion: The logistic growth model is considered to be more realistic.

Reason: For most animal populations, the resources for growth are limited.

1. Assertion and reason are true, and the reason is the correct explanation of the assertion
2. Assertion and reason are true, but the reason is not the correct explanation of the assertion
3. Assertion is a true statement but the reason is false
4. Assertion and reason are false statements

Q. Does the growth of a population with time show any specific and predictable pattern?

Q.

Variations during mutations of meiotic recombinations are

1. Random and directionless

2. Random and directional

3. Random and small

4. Random, small, and directional

Q. Explain the two patterns of growth observed in a population, based on the availability of resources? [5 marks]

Q. Population growth curve is sigmoid, if the growth pattern is

1. logistic
2. geometric
3. exponential
4. accretionary

Q. Choose the correct option for the sigmoid growth curve.

1. A-Log, B-Exponential, C-Stationary
2. A-Lag, B-Log, C-Exponential
3. A-Lag, B-Exponential, C-Stationary
4. A-Log, B-Lag, C-Stationary

Q. When does the growth rate of a population following the logistic model equal zero? The logistic model is given as $\frac{DN}{dt}$ $=rN(1-\frac{N}{K})$

1. When $\frac{N}{K}$ is exactly one
2. When N nears the carrying capacity of the habitat
3. When death rate is greater than birth rate
4. When $\frac{N}{K}$ equals zero

Q. When does the growth rate of a population following the logistic model equal zero? The logistic model is given as $\frac{DN}{dt}$ $=rN(1-\frac{N}{K})$

1. When $\frac{N}{K}$ is exactly one
2. When N nears the carrying capacity of the habitat
3. When $\frac{N}{K}$ equals zero
4. When death rate is greater than birth rate

Q.

With the help of suitable diagram describe the logistic population growth curve.

Q. With the help of suitable diagram describe the logistic population growth curve.

Q. Which of the following equations relating to logistic population growth is correct?

1. 
2. 
3. 
4. 

Q. In a population that exhibits logistic growth, increment in the population size at each point in time is calculated by the formula $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$.

1. True
2. False

Q. Which growth represents the following given equation?
$\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

1. Log growth
2. Logistic growth
3. Exponential growth
4. Linear growth

Q.

When the population size (N) approaches the carrying capacity (K). The value of dN/dt approaches

1. prey

2. predator

3. moth

4. both b and c

Q.

When the population size (N) approaches the carrying capacity (K). The value of dN/dt approaches

1. 1

2. infinity

3. K

4. 0

Q. Asymptote in a logistic growth curve is obtained when

Q. Most realistic growth curve is

1. J-shaped
2. Sigmoid
3. Both (A) & (B)
4. Parabolic

Q.

1. Light is a limiting factor in the region A.
2. Region C represents that rate of photosynthesis is not increased further by increasing light intensity because some other factor become limiting.
3. All of these
4. Point D represents the intensity of light at which some other factor became limiting.

Q. A population of bacteria is growing initially in a lag phase, followed by phases of acceleration and decerelation and finally an sationary phase. Which of the following equation describes this type of population growth?

1. $\frac{dN}{dt}=rN$
2. $N_t=N_0{e}^{rt}$
3. $r=b-d$
4. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

Q. A population of bacteria is growing initially in a lag phase, followed by phases of acceleration and decerelation and finally an sationary phase. Which of the following equation describes this type of population growth?

1. $\frac{dN}{dt}=rN$
2. $N_t=N_0{e}^{rt}$
3. $r=b-d$
4. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

Q. The logistic population growth is expressed by the equation

1. $dt/dN=Nr\left(\frac{K-N}{K}\right)$
2. $dN/dt=rN$
3. $dN/dt=rN\left(\frac{K-N}{K}\right)$
4. $dN/dt=rN\left(\frac{N-K}{N}\right)$

Q.

why is the logistic growth model is considered a more realistic one for most animal population?

Q. A flask of nutrient medium was inoculated with a suspension of yeast cells. Every two hours a sample of the culture was taken in order to estimate the growth of the population. The sampling continued after the population had reached the carrying capacity of the environment.
Which graph best represents the rate of growth of the population?

1. A
2. C
3. D
4. B
5. E

Q. Which of the following equations relating to logistic population growth is correct?

1. $dN=rN-\frac{N}{K}$
2. $\frac{dN}{dt}=rN-\frac{N}{K}$
3. $\frac{dN}{dT}=rN-\frac{1}{K}$
4. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$