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Q.During a monohybrid cross involving a tall pea plant with a dwarf pea plant, the offspring populations were tall and dwarf in equal ratio. Find out the genotype of parent pea plants. (A) Tt × tt (B) TT × Tt (C) tt × tt (D) Tt × Tt

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The parent pea plants must have genotypes Tt (heterozygous tall) and tt (homozygous dwarf) to produce tall and dwarf offspring in an equal 1:1 ratio.

To understand the genotypes of the parent pea plants, we first need to recall the fundamental principles of Mendelian genetics, specifically concerning a monohybrid cross. A monohybrid cross involves studying the inheritance of a single pair of contrasting characters, such as plant height in pea plants. Gregor Mendel's experiments established that certain traits are dominant and others are recessive.

In pea plants, tallness is a dominant trait, while dwarfness is a recessive trait. This means that if an allele for tallness (let's denote it as 'T') is present, the plant will be tall, even if it also carries an allele for dwarfness. The allele for dwarfness (let's denote it as 't') will only express itself if two copies of it are present in the plant's genetic makeup.

Note

An allele is an alternative form of a gene. For instance, the gene for plant height has two alleles: 'T' for tall and 't' for dwarf.

A plant's genotype refers to its genetic constitution (the combination of alleles it possesses), while its phenotype is the observable characteristic (what it looks like).

For the trait of height in pea plants, the possible genotypes and their corresponding phenotypes are:

  • TT: Homozygous dominant, Phenotype: Tall
  • Tt: Heterozygous, Phenotype: Tall (because 'T' is dominant over 't')
  • tt: Homozygous recessive, Phenotype: Dwarf

We are given a monohybrid cross between a tall pea plant and a dwarf pea plant. The offspring population shows tall and dwarf plants in an equal ratio, meaning 1 tall plant for every 1 dwarf plant, or a 1:1 ratio. Our task is to determine the genotypes of the parent plants that would produce this specific offspring ratio.

Let's consider the dwarf parent first. Since dwarfness is a recessive trait, a pea plant can only be dwarf if its genotype is homozygous recessive, meaning it must have two copies of the dwarf allele.

  • Therefore, the genotype of the dwarf parent is tt.

Now, let's consider the tall parent. A tall pea plant can have one of two possible genotypes: TT (homozygous tall) or Tt (heterozygous tall). We need to test which of these, when crossed with a tt dwarf plant, yields a 1:1 ratio of tall to dwarf offspring.

Scenario 1: Tall parent is homozygous dominant (TT)

If the tall parent is TT, the cross would be TT × tt.

  • The TT parent produces only 'T' gametes.
  • The tt parent produces only 't' gametes.
  • When these gametes combine, all offspring will have the genotype Tt.
  • Since Tt plants are tall, all offspring would be tall.
  • The phenotypic ratio would be 100% Tall, or 1 Tall : 0 Dwarf. …

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