Step 1: Identify the dominant and recessive traits.
In this question,
T represents the dominant trait for
tallness and
t represents the recessive trait for
dwarfness. Similarly,
R represents the dominant trait for
round seeds and
r represents the recessive trait for
wrinkled seeds.
Step 2: Write the parental cross.
The given parental cross is:
\[
TTRR \times ttrr
\]
The first parent can produce only one type of gamete, that is
TR, and the second parent can also produce only one type of gamete, that is
tr.
Step 3: Determine the F$_1$ genotype and phenotype.
When gametes
TR and
tr combine, all F$_1$ offspring will have the genotype:
\[
TtRr
\]
Since both
T and
R are dominant, all F$_1$ plants will show the phenotype
tall round seeded.
Step 4: Self-pollination of F$_1$ plants.
Now the F$_1$ plants are self-pollinated:
\[
TtRr \times TtRr
\]
This is a typical
dihybrid cross. In the F$_2$ generation, the characters for height and seed shape assort independently, producing different phenotypic combinations.
Step 5: Write the possible phenotypes in F$_2$.
The possible phenotypes obtained in the F$_2$ generation are:
- Tall round seeded plants
- Tall wrinkled seeded plants
- Dwarf round seeded plants
- Dwarf wrinkled seeded plants
Their phenotypic ratio is:
\[
9 : 3 : 3 : 1
\]