The height of Mendel’s pea plants is controlled by a single gene with two alleles: a dominant tall allele (T) and a recessive short allele (t). In a series of F1 crosses involving one homozygous tall plant (TT) and one short plant (tt), 400 F2 offspring were produced. Approximately how many of these offspring would you expect to be short?Zero400100200
Question
The height of Mendel’s pea plants is controlled by a single gene with two alleles: a dominant tall allele (T) and a recessive short allele (t). In a series of F1 crosses involving one homozygous tall plant (TT) and one short plant (tt), 400 F2 offspring were produced. Approximately how many of these offspring would you expect to be short?Zero400100200
Solution
The cross between a homozygous tall plant (TT) and a short plant (tt) would produce all heterozygous tall plants (Tt) in the F1 generation.
When these F1 plants self-fertilize, the expected genotypic ratio in the F2 generation would be 1:2:1 (TT:Tt:tt) according to Mendel's law of segregation.
This means that out of 4 plants, we expect 1 to be homozygous tall (TT), 2 to be heterozygous tall (Tt), and 1 to be short (tt).
So, if there are 400 F2 offspring, we would expect approximately 1/4 of them to be short.
1/4 of 400 is 100.
So, we would expect approximately 100 of the F2 offspring to be short.
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