Correct Option: B. 3 tall : 1 short
Detailed Explanation:
To understand the genetic ratio of the Fβ generation when members of the Fβ generation are allowed to self-pollinate, we need to delve into basic Mendelian genetics, particularly focusing on traits governed by a single gene with two alleles.
- Understanding the Generations:
- P Generation (Parental Generation): This is the original generation that is crossed. For example, letβs say we have a tall plant (TT) and a short plant (tt). Here, "T" represents the dominant allele for tallness, and "t" represents the recessive allele for shortness.
- Fβ Generation: When the P generation is crossed (TT x tt), all offspring in the Fβ generation will be heterozygous (Tt) and exhibit the dominant trait, which is tallness. Therefore, all Fβ plants are tall.
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Fβ Generation: When the Fβ generation (Tt) is allowed to self-pollinate (Tt x Tt), we can predict the genotypes of the Fβ generation using a Punnett square.
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Using a Punnett Square:
- Set up a Punnett square for the cross Tt x Tt:
T t
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T | TT | Tt |
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t | Tt | tt |
- From the Punnett square, we can see the possible genotypes of the offspring:
- TT (homozygous tall) = 1
- Tt (heterozygous tall) = 2
- tt (homozygous short) = 1
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This results in a total of 4 offspring with the following phenotypes:
- 3 tall (TT + Tt + Tt)
- 1 short (tt)
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Calculating the Ratio:
- The phenotypic ratio of the Fβ generation is therefore 3 tall : 1 short.
Why Other Options Are Incorrect:
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Option A: 1 tall : 3 short: This is incorrect because it suggests that there is a higher number of short plants than tall plants, which contradicts the results from the Punnett square. The correct ratio shows more tall plants.
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Option C: 1 tall : 1 short: This option implies that there are equal numbers of tall and short plants. This would only be true if the parents were both heterozygous for a trait that exhibits incomplete dominance or if the cross was between a homozygous tall and a homozygous short plant, which is not the case here.
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Option D: 4 short : 0 tall: This option suggests that all offspring are short, which is impossible given that the Fβ generation consists entirely of tall plants. The presence of the dominant allele (T) ensures that at least some offspring will be tall.
Common Pitfalls:
- Misunderstanding Dominance: Students often confuse dominant and recessive traits. Remember, the presence of at least one dominant allele (T) results in the tall phenotype.
- Ignoring the Genotype: Itβs crucial to differentiate between genotype (TT, Tt, tt) and phenotype (tall or short). The ratio refers to phenotypes.
- Not Using a Punnett Square: Some students may skip using a Punnett square, which is a helpful tool for visualizing genetic crosses and ensuring accurate predictions.
Revision Summary:
- The Fβ generation from a Tt x Tt cross results in a phenotypic ratio of 3 tall : 1 short.
- Use a Punnett square to visualize and calculate genetic ratios.
- Dominant alleles mask the expression of recessive alleles in heterozygous individuals.
- Always differentiate between genotype and phenotype when discussing genetic ratios.