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Cell - How do Normal Cells Grow and Divide?

Grade 9CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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The Cell Cycle is the sequence of events by which a cell duplicates its genome, synthesizes other constituents, and eventually divides into two daughter cells. It is divided into Interphase and M-Phase (Mitosis).

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Interphase is the 'resting phase' where the cell prepares for division. It consists of three sub-phases: G1G_1 (Gap 1), SS (Synthesis), and G2G_2 (Gap 2).

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During the SS phase, DNA replication occurs. The amount of DNA doubles (from 2C2C to 4C4C), but the chromosome number remains the same (2n2n).

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Mitosis is called equational division because the number of chromosomes in the parent and daughter cells remains the same (2n→2n2n \rightarrow 2n). It consists of Prophase, Metaphase, Anaphase, and Telophase.

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Cytokinesis is the physical process of cell division, which divides the cytoplasm of a parental cell into two daughter cells.

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Growth in multicellular organisms occurs because of Mitosis, which increases the number of somatic cells.

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Meiosis is a reductional division where the chromosome number is halved (2n→n2n \rightarrow n), leading to the formation of gametes (sperm and eggs).

📐Formulae

Number of cells after n divisions=2n\text{Number of cells after } n \text{ divisions} = 2^n

Number of generations (n)=Total TimeDuration of one division\text{Number of generations (n)} = \frac{\text{Total Time}}{\text{Duration of one division}}

DNA content in S phase:2C→4C\text{DNA content in } S \text{ phase}: 2C \rightarrow 4C

Chromosome count in Mitosis:2n→2n\text{Chromosome count in Mitosis}: 2n \rightarrow 2n

💡Examples

Problem 1:

If a cell divides every 3030 minutes, how many cells will be produced from a single cell after 33 hours?

Solution:

n=18030=6n = \frac{180}{30} = 6 26=642^6 = 64

Explanation:

First, calculate the number of divisions (nn) by dividing the total time (180180 minutes) by the division time (3030 minutes). Then, apply the formula 2n2^n to find the total number of cells.

Problem 2:

A cell has 1414 chromosomes. After undergoing mitosis, how many chromosomes will each daughter cell contain?

Solution:

2n=142n = 14

Explanation:

Since mitosis is an equational division, the chromosome number does not change. Each daughter cell will have the same number of chromosomes as the parent cell, which is 1414.

Problem 3:

Calculate the total number of cells formed if 55 cells undergo 44 mitotic divisions each.

Solution:

5×245×1680\begin{array}{r} 5 \times 2^4 \\ 5 \times 16 \\ \hline 80 \end{array}

Explanation:

One cell produces 24=162^4 = 16 cells after 44 divisions. Therefore, 55 initial cells will produce 5×16=805 \times 16 = 80 cells.