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Biology - Cell Cycle, Cell Division and Structure of Chromosomes

Grade 10ICSE

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

🔑Concepts

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Chromosomes are highly coiled structures made of DNA (40%40\%) and Histone proteins (60%60\%). The repeating unit of a chromosome is the nucleosome, consisting of DNA wrapped around a histone octamer.

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A DNA nucleotide consists of three components: a Phosphate group, a Pentose sugar (Deoxyribose), and a Nitrogenous base (AA, TT, GG, or CC).

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Specific nitrogenous base pairing occurs via hydrogen bonds: Adenine (AA) pairs with Thymine (TT) with two bonds (A=TA=T), and Guanine (GG) pairs with Cytosine (CC) with three bonds (G≡CG \equiv C).

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The Cell Cycle is divided into Interphase (G1G_1, SS, G2G_2) and the MM-Phase (Mitosis).

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During the SS-phase (Synthesis phase), DNA replication occurs, doubling the DNA content from 2C2C to 4C4C, although the chromosome number remains 2n2n.

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Mitosis consists of four main stages: Prophase (disappearance of nucleolus), Metaphase (alignment at the equatorequator), Anaphase (splitting of centromeres), and Telophase (reappearance of nuclear membrane).

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Karyokinesis refers to the division of the nucleus, while Cytokinesis refers to the division of the cytoplasm.

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Meiosis occurs in germ cells to produce gametes. It involves two divisions, reducing the chromosome number from diploid (2n2n) to haploid (nn), ensuring constant chromosome numbers across generations.

📐Formulae

Total number of cells after n mitotic divisions=2n\text{Total number of cells after } n \text{ mitotic divisions} = 2^n

Diploid Condition=2n\text{Diploid Condition} = 2n

Haploid Condition=n\text{Haploid Condition} = n

Chargaff’s Rule: [A]+[G]=[T]+[C]\text{Chargaff's Rule: } [A] + [G] = [T] + [C]

💡Examples

Problem 1:

If a human skin cell contains 4646 chromosomes, how many chromosomes and chromatids will be present in the cell during the Metaphase stage of mitosis?

Solution:

Chromosomes: 4646; Chromatids: 9292.

Explanation:

In Metaphase, each of the 4646 chromosomes consists of two sister chromatids joined at the centromere because DNA replication occurred during the SS-phase. Therefore, the number of chromatids is 46×2=9246 \times 2 = 92.

Problem 2:

Calculate the number of mitotic divisions required to produce 128128 cells from a single parent cell.

Solution:

77 divisions.

Explanation:

Using the formula 2n=1282^n = 128, we find 27=1282^7 = 128. Thus, n=7n = 7 divisions are required.

Problem 3:

An onion root tip cell has 2n=162n = 16 chromosomes. What will be the chromosome number in (i) the endosperm and (ii) the pollen grain?

Solution:

(i) 2424 (ii) 88

Explanation:

The endosperm in angiosperms is triploid (3n3n), so 3×8=243 \times 8 = 24. The pollen grain is a gametophyte containing haploid (nn) nuclei, so n=16/2=8n = 16/2 = 8.