AMU Medical AMU Solved Paper-2013

  • question_answer
    The exponential growth can be expressed \[{{w}_{1}}={{w}_{0}}{{e}^{rt}}\] whereas e denotes

    A)  growth rate                      

    B)  time of growth

    C)  base of nature logarithm

    D)  final size

    Correct Answer: C

    Solution :

                                     Population growth curve are the mathematical expression of the growth of a population, which are used to predict the growth rate of population from its beginning till its climax stage i.e., stability. These growth curve may be S-shaped or sigmoid shape or J-shaped. The later J-shaped curve is shown by small population and contain two phases e.g., lag phase and exponential phase and is represented by following exponential equation \[\frac{dN}{dt}=rN\] Where, r denote intrinsic rate of natural increases and N is size of population, while dN/dt is rate of change in population size. The integral form of the above reaction can be derived as                                                 \[{{W}_{t}}={{W}_{0}}\,{{e}^{n}}\] where, \[{{W}_{t}}=\] population density after time t \[{{W}_{O}}=\] population density at time 0 e = the base of natural logarithm r = intrinsic rate of natural increase.


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