Question 2 of 6intermediate💡 UnderstandLong Answer5 marks

Describe briefly: (a) Arithmetic growth (b) Geometric growth (c) Sigmoid growth curve (d) Absolute and relative growth rates

(a)
Answer

In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures. The simplest expression is exemplified by a root elongating at a constant rate. On plotting the length of the organ against time, a linear curve is obtained. Mathematically, it is expressed as Lt = L0 + rt, where Lt is length at time 't', L0 is length at time 'zero', and r is growth rate per unit time.

(b)
Answer

In geometric growth, the initial growth is slow called the lag phase, and it increases rapidly thereafter at an exponential rate called the log or exponential phase. Here, both the progeny cells following mitotic cell division retain the ability to divide and continue to do so. However, with limited nutrient supply, the growth slows down leading to a stationary phase.

(c)
Answer

When we plot the parameter of growth against time, we get a typical sigmoid or S-curve. A sigmoid curve is a characteristic of living organisms growing in a natural environment. It is typical for all cells, tissues and organs of a plant.

(d)
Answer

The absolute growth rate is the measurement and comparison of total growth per unit time. The relative growth rate is the growth of the given system per unit time expressed on a common basis, e.g., per unit initial parameter. Two leaves of different sizes may show the same absolute increase in area in a given time, but one of them shows much higher relative growth rate.

Explanation

This question is from NCERT Class 11 Biology, Chapter 13 on Plant Growth and Development. The answer covers all four sub-parts as per the textbook content. Arithmetic growth shows linear increase with only one daughter cell dividing. Geometric growth shows exponential increase with both daughter cells dividing, passing through lag, log, and stationary phases. The sigmoid curve is the characteristic S-shaped growth curve of living organisms. Absolute and relative growth rates are two quantitative ways to compare growth - absolute measures total growth per unit time while relative measures growth per unit initial parameter.