To determine the genotypes for the specified phenotypes (yellow kernels, purple kernels, purple and smooth kernels, purple and wrinkled kernels, yellow and smooth kernels, yellow and wrinkled kernels), we first need to understand the genetic basis of these traits.
Assuming that the kernel color (yellow and purple) and texture (smooth and wrinkled) are influenced by two separate genes, we can denote:
- Y = yellow kernels (dominant)
- y = purple kernels (recessive)
- S = smooth texture (dominant)
- s = wrinkled texture (recessive)
With this notation, the possible genotypes corresponding to each phenotype are as follows:
- Yellow kernels:
- YY (homozygous dominant)
- Yy (heterozygous)
- Purple kernels:
- yy (homozygous recessive)
- Purple and smooth kernels:
- yySS (homozygous recessive for color, homozygous dominant for texture)
- yySs (homozygous recessive for color, heterozygous for texture)
- Purple and wrinkled kernels:
- yyss (homozygous recessive for both traits)
- Yellow and smooth kernels:
- YYSS (homozygous dominant for color, homozygous dominant for texture)
- YYSs (homozygous dominant for color, heterozygous for texture)
- YySS (heterozygous for color, homozygous dominant for texture)
- YySs (heterozygous for color, heterozygous for texture)
- Yellow and wrinkled kernels:
- YYss (homozygous dominant for color, homozygous recessive for texture)
- Yyss (heterozygous for color, homozygous recessive for texture)
By analyzing the dominance of the traits and combining the possible alleles, we can generate all potential genotypes for the given phenotypes.