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Given r = intrinsic rate of natural incr...

Given r = intrinsic rate of natural increase. Few values of r are `r_(1)` (for Norway rat) = 0.015, `r_(2)` (for flour beetle) = 0.12, `r_(3)` (for human population in india) = 0.02
Which of the following interpretation is correct ?

A

Norway rats grow at fastest rate

B

In human population, death rate is intermediate

C

In case of flour beetle, population grows at highest rate

D

Growth rate of population cannot be interpretated by r values

Text Solution

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The correct Answer is:
To solve the question regarding the intrinsic rate of natural increase (r) for different organisms, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of r**: - The intrinsic rate of natural increase (r) is a measure of how quickly a population can grow under ideal conditions. It is calculated as the difference between the birth rate (b) and the death rate (d) of a population: \[ r = b - d \] - A higher value of r indicates a faster potential growth rate for the population. 2. **Analyze the Given Values of r**: - For Norway rat, \( r_1 = 0.015 \) - For flour beetle, \( r_2 = 0.12 \) - For human population in India, \( r_3 = 0.02 \) 3. **Compare the Values**: - Among the three values: - Flour beetle has the highest r (0.12), indicating it has the fastest population growth. - The human population in India has an intermediate r (0.02). - The Norway rat has the lowest r (0.015), indicating the slowest population growth. 4. **Evaluate the Statements**: - **Statement A**: "Norway rat grows at the fastest rate." - This is incorrect because the flour beetle has the highest r. - **Statement B**: "In human population, the death rate is intermediate." - This is misleading as r does not directly indicate death rates without knowing birth rates. - **Statement C**: "In case of low r, the population grows at the highest rate." - This is incorrect; a low r indicates slower growth, not faster. - **Statement D**: "The growth rate of population cannot be interpreted by r values." - This is misleading because r values do indicate growth potential. 5. **Identify the Correct Interpretation**: - The correct interpretation is that the flour beetle (with the highest r of 0.12) grows at the fastest rate, while the Norway rat (with the lowest r of 0.015) grows at the slowest rate. Therefore, none of the statements are fully accurate, but the one that aligns with the data is that the flour beetle has the highest growth potential. ### Conclusion: The correct interpretation based on the values of r is that the flour beetle has the fastest population growth rate, followed by humans, and then the Norway rat.
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r value of human population in 1981, in India was

Interpret the value of r as 1, -1 and 0.

Knowledge Check

  • In 1981 , the r - value for human population in India was :

    A
    0.0196
    B
    0.0205
    C
    2.71
    D
    0.175
  • Population A-have the intrinsic rate of natural incease in 0.2 Population B-have the intrinsic rate of natural increase is 0.3 Population C-have the intrinsic rate of natural increases is 0.4 Population D-have the intrinsic rate of natural increase is 0.5 Which population will increase fastest among all of the given population ?

    A
    D
    B
    C
    C
    B
    D
    A
  • If S_(r) = sqrt(r+ sqrt(r+sqrt(r+sqrt(......oo)))) , r gt 0 then which the following is\are correct.

    A
    `S_(r),S_(6),S_(12),S_(20),` are in AP
    B
    `S_(4),S_(9),S_(16)` are irrational
    C
    `(2S_(4)-1)^(2),(2S_(5)-1)^(2),(2S_(6)-1)^(2)` are in AP
    D
    `S_(2),S_(12),S_(56)` are in GP
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