Question

Difficulty: MediumMendel's Second Law and Dihybrid Inheritance

In tomato plants (*Solanum lycopersicum*), purple stem (PP) is dominant over green stem (pp), and cut leaf (CC) is dominant over potato leaf (cc). A plant heterozygous for both traits (PpCcPpCc) is crossed with a homozygous recessive plant (ppccppcc). What proportion of the offspring is expected to have purple stems and potato leaves?

  1. 1/4 (25%)Answer
  2. B
    3/16 (18.75%)
  3. C
    9/16 (56.25%)
  4. D
    1/16 (6.25%)

Answer

1/4 (25%)
In a dihybrid test cross between a double heterozygote (PpCcPpCc) and a double homozygous recessive individual (ppccppcc), the heterozygous parent produces four gamete types (PCPC, PcPc, pCpC, pcpc) in equal proportions (1/41/4 each). When combined with the recessive parent's pcpc gamete, four phenotypic classes result with an expected frequency of 1/41/4 (25%25\%) each. Therefore, the proportion of offspring showing purple stems and potato leaves (PpccPpcc) is 1/41/4.

Step-by-Step Solution

1
Identify parental genotypes and determine gametes produced
The heterozygous parent (PpCcPpCc) produces four types of gametes in equal proportions: PCPC, PcPc, pCpC, and pcpc (1/41/4 each). The homozygous recessive parent (ppccppcc) produces only one type of gamete: pcpc (100%100\%).
Mendel's Law of Independent Assortment states that alleles for different traits segregate independently during gamete formation.
2
Determine offspring genotypes and phenotypes
Combining gametes yields four offspring genotypes: PpCcPpCc (purple stem, cut leaf), PpccPpcc (purple stem, potato leaf), ppCcppCc (green stem, cut leaf), and ppccppcc (green stem, potato leaf), each occurring at a frequency of 1/4.
A test cross matches each distinct gamete from the heterozygous parent with a recessive allele pair from the tester parent.
3
Calculate the expected proportion for the targeted phenotype
The proportion of offspring displaying purple stems (P_) and potato leaves (cccc), represented by genotype PpccPpcc, is 1/4 or 25%.
Exactly one of the four equally probable phenotypic outcomes exhibits the dominant stem color and recessive leaf form.

Key Concept

Dihybrid Test Cross Ratio
Estimated Time:1m 30s
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