krit.club logo

Heredity - Laws for inheritance of traits

Grade 10CBSE

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

🔑Concepts

Mendel's Contribution: Gregor Johann Mendel, the 'Father of Genetics', used the garden pea (PisumsativumPisum sativum) to study inheritance.

Alleles: Genes come in pairs called alleles. For example, the gene for height has alleles TT (tall) and tt (short).

Dominant vs. Recessive: A dominant allele (represented by capital letters like TT) expresses itself even in the presence of a recessive allele (represented by tt). Recessive traits only appear in homozygous conditions (tttt).

Genotype and Phenotype: Genotype refers to the genetic makeup (e.g., TTTT, TtTt, or tttt), while Phenotype refers to the physical appearance (e.g., Tall or Short).

Law of Segregation: During gamete formation, the two alleles of a pair separate/segregate such that each gamete receives only one allele.

Law of Independent Assortment: When two pairs of traits are combined in a hybrid, the segregation of one pair of characters is independent of the other pair.

Monohybrid Cross: A cross involving a single pair of contrasting characters (e.g., height).

Dihybrid Cross: A cross involving two pairs of contrasting characters (e.g., seed shape and color).

📐Formulae

Monohybrid Phenotypic Ratio=3:1\text{Monohybrid Phenotypic Ratio} = 3 : 1

Monohybrid Genotypic Ratio=1:2:1\text{Monohybrid Genotypic Ratio} = 1 : 2 : 1

Dihybrid Phenotypic Ratio=9:3:3:1\text{Dihybrid Phenotypic Ratio} = 9 : 3 : 3 : 1

Total number of combinations in F2 (Dihybrid)=16\text{Total number of combinations in } F_2 \text{ (Dihybrid)} = 16

Probability of a trait=Number of favorable offspringTotal offspring population\text{Probability of a trait} = \frac{\text{Number of favorable offspring}}{\text{Total offspring population}}

💡Examples

Problem 1:

A cross is made between a homozygous tall plant (TTTT) and a homozygous short plant (tttt). What will be the phenotype of the F1F_1 generation and the phenotypic ratio of the F2F_2 generation?

Solution:

In F1F_1, all plants will be TtTt (Tall). In F2F_2, the phenotypic ratio will be 3 Tall:1 Short3 \text{ Tall} : 1 \text{ Short}.

Explanation:

All F1F_1 offspring inherit one TT from the tall parent and one tt from the short parent. Since TT is dominant, they appear tall. In F2F_2, the gametes TT and tt combine to form TTTT, TtTt, TtTt, and tttt.

Problem 2:

In a dihybrid cross between Round-Yellow (RRYYRRYY) and Wrinkled-Green (rryyrryy) seeds, how many plants in the F2F_2 generation (out of 16) are expected to be Wrinkled-Yellow?

Solution:

33 out of 1616 plants.

Explanation:

According to the dihybrid phenotypic ratio 9:3:3:19:3:3:1, the distribution is: 99 Round-Yellow, 33 Round-Green, 33 Wrinkled-Yellow, and 11 Wrinkled-Green. Therefore, the frequency of the recombinant Wrinkled-Yellow phenotype is 33.

Problem 3:

If a purebred black dog (BBBB) is mated with a purebred white dog (bbbb), what is the probability of getting a white dog in the F1F_1 generation?

Solution:

0%0\%

Explanation:

The F1F_1 generation will consist entirely of heterozygous black dogs (BbBb) because the black allele (BB) is dominant over the white allele (bb). Recessive traits (bbbb) only reappear in the F2F_2 generation.