Q.In peas, tallness is dominant over dwarfness, and red colour of flowers is dominant over the white colour. When a tall plant bearing red flowers was pollinated with a dwarf plant bearing white flowers, the different phenotypic groups were obtained in the progeny in numbers mentioned against them: Tall, Red = 138; Tall, White = 132; Dwarf, Red = 136; Dwarf, White = 128. Mention the genotypes of the two parents and of the four offspring types.
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Start your 14-day free trial to unlock the full solution →The parental genotypes are a dihybrid heterozygote ($TtRr$) and a double recessive ($ttrr$), leading to a 1:1:1:1 phenotypic ratio in the offspring.
In genetics, understanding how traits are inherited across generations is fundamental. When we consider two different traits simultaneously, we are dealing with a dihybrid cross. Gregor Mendel's experiments with pea plants, observing traits like seed shape and seed color, led to his Law of Independent Assortment. This law states that alleles for different traits segregate independently of each other during gamete formation.
A classic dihybrid cross involves two parents, each heterozygous for both traits, for example, $RrYy \times RrYy$. In such a cross, if the genes are unlinked, the expected phenotypic ratio in the offspring (F2 generation) is $9:3:3:1$. This ratio represents 9 individuals showing both dominant traits, 3 showing one dominant and one recessive trait, 3 showing the other dominant and other recessive trait, and 1 showing both recessive traits.
However, the scenario presented here is different. We are given a tall plant with red flowers crossed with a dwarf plant with white flowers, and the progeny show four distinct phenotypic groups in roughly equal numbers. This specific outcome is a strong indicator of a particular type of cross: a dihybrid test cross.
A test cross is a powerful tool in genetics where an individual displaying a dominant phenotype (but unknown genotype) is crossed with a homozygous recessive individual. The phenotypes of the offspring directly reveal the genotype of the unknown parent.
Let's assign symbols for the alleles based on the given information:
- Tallness is dominant over dwarfness: Let $T$ represent the allele for tallness and $t$ for dwarfness.
- Red colour of flowers is dominant over white colour: Let $R$ represent the allele for red flowers and $r$ for white flowers.
Now, let's analyze the parents:
- Dwarf plant bearing white flowers: Since dwarfness ($t$) and white colour ($r$) are recessive traits, an individual expressing both recessive phenotypes must be homozygous recessive for both genes. Therefore, its genotype must be $ttrr$. This parent can only produce one type of gamete: $tr$.
- Tall plant bearing red flowers: This parent displays both dominant phenotypes. Its genotype could potentially be $TTRR$, $TTRr$, $TtRr$, or $TtRr$. To determine its exact genotype, we look at the offspring.
The progeny obtained are:
- Tall, Red = $138$
- Tall, White = $132$
- Dwarf, Red = $136$
- Dwarf, White = $128$
If we approximate these numbers, they are very close to a $1:1:1:1$ ratio. For instance, if we divide each by the smallest number ($128$), we get approximately $1.07:1.03:1.06:1$. This $1:1:1:1$ phenotypic ratio in a dihybrid cross is the characteristic result when a dihybrid heterozygous individual is crossed with a double homozygous recessive individual.
A $1:1:1:1$ phenotypic ratio in the offspring of a dihybrid cross indicates that one parent was a dihybrid heterozygote ($TtRr$ in this case) and the other parent was a double homozygous recessive ($ttrr$). This is the outcome of a dihybrid test cross. …
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