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Heredity - Mendel’s contribution

Grade 10CBSE

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

🔑Concepts

Gregor Mendel, the 'Father of Genetics', used the Garden Pea (PisumPisum sativumsativum) for his experiments due to its clear contrasting traits and short life cycle.

A Monohybrid Cross is a cross between two plants involving one pair of contrasting characters (e.g., Tall TT vs Dwarf tt).

Law of Dominance: In a heterozygous pair (e.g., TtTt), the trait that expresses itself is called the 'Dominant' trait, while the one that remains hidden is the 'Recessive' trait.

Law of Segregation: During the formation of gametes, the two alleles of a character separate (segregate) so that each gamete carries only one allele for each gene.

Law of Independent Assortment: In a Dihybrid Cross (involving two pairs of traits like seed shape and color), the inheritance of one pair of characters is independent of the inheritance of the other pair.

The Phenotype refers to the observable physical characteristics (e.g., Tall), while the Genotype refers to the genetic makeup (e.g., TTTT or TtTt).

Homozygous conditions occur when both alleles are identical (e.g., TTTT or tttt), while Heterozygous conditions occur when alleles are different (e.g., TtTt).

📐Formulae

Monohybrid Phenotypic Ratio (F2)=3:1\text{Monohybrid Phenotypic Ratio } (F_2) = 3 : 1

Monohybrid Genotypic Ratio (F2)=1:2:1\text{Monohybrid Genotypic Ratio } (F_2) = 1 : 2 : 1

Dihybrid Phenotypic Ratio (F2)=9:3:3:1\text{Dihybrid Phenotypic Ratio } (F_2) = 9 : 3 : 3 : 1

Probability of an offspring trait=Number of favorable outcomesTotal number of outcomes in Punnett square\text{Probability of an offspring trait} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes in Punnett square}}

💡Examples

Problem 1:

A pure tall pea plant (TTTT) is crossed with a pure dwarf pea plant (tttt). Find the phenotypic and genotypic ratio of the F2F_2 generation.

Solution:

  1. Parents: TT×ttTT \times tt. 2. F1F_1 Generation: All TtTt (Heterozygous Tall). 3. Selfing F1F_1: Tt×TtTt \times Tt. 4. F2F_2 Genotypes: TT,Tt,Tt,ttTT, Tt, Tt, tt. 5. Phenotypic ratio is 3:13 : 1 (Tall : Dwarf). 6. Genotypic ratio is 1:2:11 : 2 : 1 (TT:Tt:ttTT : Tt : tt).

Explanation:

According to the Law of Segregation, the alleles TT and tt separate during gamete formation. The Punnett square for F2F_2 shows one homozygous tall (TTTT), two heterozygous tall (TtTt), and one homozygous dwarf (tttt).

Problem 2:

In a dihybrid cross between Round Yellow (RRYYRRYY) and Wrinkled Green (rryyrryy) seeds, what is the frequency of Round Green seeds in the F2F_2 generation?

Solution:

Total offspring in F2=16F_2 = 16. According to the ratio 9:3:3:19:3:3:1: Round Yellow = 99, Round Green = 33, Wrinkled Yellow = 33, Wrinkled Green = 11. Frequency of Round Green = 316\frac{3}{16}.

Explanation:

Due to the Law of Independent Assortment, the traits for seed shape and seed color distribute independently. The Round Green phenotype results from combinations like RRyyRRyy or RryyRryy.

Mendel’s contribution - Revision Notes & Key Formulas | CBSE Class 10 Science