Question

Difficulty: MediumMendel's Second Law and Dihybrid Inheritance

In watermelon plants (*Citrullus lanatus*), solid green rind color (GG) is dominant over striped rind color (gg), and short fruit shape (SS) is dominant over long fruit shape (ss). A pure-breeding plant with solid green, short fruits is crossed with a plant having striped, long fruits. The resulting F1F_1 plants are self-pollinated to produce an F2F_2 generation of 800 offspring. How many of the F2F_2 plants are expected to produce striped, short watermelons?

  1. 150Answer
  2. B
    450
  3. C
    200
  4. D
    50

Answer

150
In a classical dihybrid cross involving two heterozygous parents (GgSsGgSs), independent assortment yields an F2 phenotypic ratio of 9:3:3:1. The phenotype with one recessive trait and one dominant trait (striped, short; genotype ggS_ggS\_) represents 3/163/16 of the total population. Multiplying this fraction by 800 gives (3/16)×800=150(3/16) \times 800 = 150 plants.

Step-by-Step Solution

1
Identify parental and F1 genotypes
Parental cross is GGSS×ggssGGSS \times ggss, yielding an F1F_1 genotype of GgSsGgSs.
Pure-breeding parents pass one dominant or recessive allele per gene to the offspring.
2
Determine the F2 phenotypic ratio using Mendel's Law of Independent Assortment
Selfing GgSs×GgSsGgSs \times GgSs yields a 9:3:3:1 phenotypic ratio (9 solid/short : 3 solid/long : 3 striped/short : 1 striped/long).
Alleles for rind color and fruit shape assort independently during gamete formation.
3
Calculate expected offspring count for the target phenotype
Expected count = (3/16)×800=150(3 / 16) \times 800 = 150 plants.
The target phenotype (striped, short) represents 3 out of 16 total phenotypic combinations.

Key Concept

Mendel's Law of Independent Assortment and Dihybrid Phenotypic Ratios
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