Read the following statements regarding arithmetic growth and select t...
ncrease in growth per unit time is called as growth rate. The growth rate may be arithmetic or geometrical. Arithmetic Growth is a type of growth in which the rate of growth is constant and increase in growth occurs in arithmetic progression-- 2, 4, 6, 8, 10,12. Meristematic cells at the growing point divide in such a fashion that one daughter cell remains meristematic while the other grows and differentiates. the process continues. Mathematically, arithmetic growth is expressed as
Lt =L0 +rt.
where Lt = length after time t, L0 = length at the beginning, and r = growth rate. On plotting growth against time, a linear graph is obtained.
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Read the following statements regarding arithmetic growth and select t...
Arithmetic Growth:
Arithmetic growth is a type of growth in which the quantity being measured increases or decreases by a constant amount over equal intervals of time. It is characterized by a linear increase or decrease in the quantity.
Statement (i): Rate of growth is constant.
This statement is true. In arithmetic growth, the rate of increase or decrease is constant. This means that the quantity being measured changes by the same amount over equal intervals of time. For example, if a population of bacteria is doubling every hour, the rate of growth is constant at 2.
Statement (ii): One daughter cell remains meristematic while the other one differentiates and matures.
This statement is incorrect. It seems to be referring to cell division and differentiation, which are processes in biological growth, not arithmetic growth. In cell division, a parent cell divides into two daughter cells, which can either both remain meristematic (able to divide and differentiate) or one can differentiate and mature while the other remains meristematic. However, this statement does not directly relate to arithmetic growth.
Statement (iii): Mathematical expression is Lt=L0 rt.
This statement is correct. The mathematical expression Lt=L0 rt represents arithmetic growth. In this expression, Lt represents the final quantity, L0 represents the initial quantity, r represents the rate of growth, and t represents the time interval. This formula shows that the final quantity is equal to the initial quantity plus the rate of growth multiplied by the time interval.
Conclusion:
From the given statements, statement (i) and statement (iii) are correct. Statement (ii) is incorrect as it does not directly relate to arithmetic growth. Therefore, the correct answer is option D, which states that all the statements are correct.
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