Botany - Plant Growth and Development Question with Solution | TestHub

In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures. Mathematically, it is expressed as${\mathrm{L}}_{\mathrm{t}}={\mathrm{L}}_0+\mathrm{r}\mathrm{t}$where${\mathrm{L}}_{\mathrm{t}}=$length at time 't'

${\mathrm{L}}_0=$length at time 'zero' and r = growth rate / elongation per unit time. The simplest expression of arithmetic growth is exemplified by a root elongating at a constant rate. In geometrical growth, both the progeny cells following mitotic cell division retain the ability to divide and continue to do so. . Mathematically, it is expressed as${\mathrm{W}}_1={\mathrm{W}}_{0\mathrm{e}}\mathrm{r}\mathrm{t}$where${\mathrm{W}}_1$= final size (weight, height, number etc.),${\mathrm{W}}_0$= initial size at the beginning of the period, r = growth rate, t = time of growth and e = base of natural logarithms