CBSE · Class 12 · Biology · Principles of Inheritance and VariationA homozygous tall pea plant with red flowers (TTRR) is crossed with a homozygous dwarf pea plant with white flowers (ttrr). Determine the genotype and phenotype of the F1 generation. If the F1 generation is self-pollinated, calculate the phenotypic ratio of the F2 generation and explain the inheritance pattern.
Step-by-Step Solution
Problem Statement and Given Data
- Parent 1 (Homozygous Tall & Red): Genotype = $\text{TTRR}$ (Phenotype = Tall, Red)
- Parent 2 (Homozygous Dwarf & White): Genotype = $\text{ttrr}$ (Phenotype = Dwarf, White)
Step 1: Gamete Formation
- Parent 1 (TTRR) produces gametes with alleles: TR
- Parent 2 (ttrr) produces gametes with alleles: tr
Step 2: F1 Generation Determination
- Cross: $\text{TR} \times \text{tr}$
- F1 Genotype: $\text{TtRr}$
- F1 Phenotype: Since 'T' is dominant over 't' and 'R' is dominant over 'r', all plants in the F1 generation will be Tall with Red flowers.
Step 3: F2 Generation Calculation (Selfing of F1)
- F1 Cross: $\text{TtRr} \times \text{TtRr}$
- Gametes produced by F1: Each parent produces 4 types of gametes in equal proportions: TR, Tr, tR, tr.
Step 4: Punnett Square Analysis for F2 Generation\nUsing a $4 \times 4$ Punnett square for a dihybrid cross involving 16 total combinations:
- Tall and Red (T_R_): 9 offspring
- Tall and White (T_rr): 3 offspring
- Dwarf and Red (ttR_): 3 offspring
- Dwarf and White (ttrr): 1 offspring
Step 5: Final Phenotypic Ratio
$$\text{Phenotypic Ratio} = 9 : 3 : 3 : 1$$
Explanation of Inheritance Pattern\nThis follows Mendel's Law of Independent Assortment. The alleles for height (T/t) and flower color (R/r) assort independently during gamete formation because they are located on different non-homologous chromosomes, leading to the classic 9:3:3:1 phenotypic ratio in the F2 generation.
💡 Study Guide: This question tests core syllabus concepts from Principles of Inheritance and Variation. For formulas, key summaries, and mock exam reference guides, read the full Principles of Inheritance and Variation Revision Notes.