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NEET 2006
Exam
NEET
Year
2006
Subject
Zoology
Chapter
Organisms and Populations

NEET 2006 · Zoology · Organisms and Populations

The formula for exponential population growth is:

The formula for exponential population growth is:

Options

  1. AdN/dt=rN\mathrm{dN} / \mathrm{dt}=\mathrm{rN}
  2. Bdt/dN=rN\mathrm{dt} / \mathrm{dN}=\mathrm{rN}
  3. CdN/rN=dt\mathrm{dN} / \mathrm{rN}=\mathrm{dt}
  4. DrN/dN=dt\mathrm{rN} / \mathrm{dN}=\mathrm{dt}

Correct answer

A. dN/dt=rN\mathrm{dN} / \mathrm{dt}=\mathrm{rN}

Step-by-step solution

Exponential growth form can be represented mathematically by the following exponential equation: dNdt=(B−D)×NB=\frac{d N}{d t}=(\mathrm{B}-\mathrm{D}) \times \mathrm{N} \mathrm{B}= Birth rate, D=\mathrm{D}= Death rate Let (B−D)=r(B-D)=r or intrinsic rate of growth. Then, =r×n=r \times n where dd is the rate of change, N=\mathrm{N}= number of existing individuals. t=t= time and r=r= intrinsic rate of natural increase represents the rate of change in population size.
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