Answer :
Let's break down the question step-by-step, using Punnett squares to analyze the genotypes of plant stem length.
First Generation Analysis:
For the given Punnett square:
[tex]\[ \begin{array}{|c|c|c|} \hline & t & t \\ \hline T & Tt & Tt \\ \hline T & Tt & Tt \\ \hline \end{array} \][/tex]
Here, all offspring are Tt, which means they all have one dominant allele (T) and one recessive allele (t). Since T is dominant, all plants will exhibit the tall phenotype. Therefore, the genotypes of the first generation are:
- Tt (100%) – All tall.
Second Generation Analysis:
For the second-generation Punnett square:
[tex]\[ \begin{array}{|c|c|c|} \hline & T & t \\ \hline T & TT & Tt \\ \hline t & Tt & tt \\ \hline \end{array} \][/tex]
In this scenario, the possible genotypes are:
- TT – Homozygous dominant (tall)
- Tt – Heterozygous (tall)
- tt – Homozygous recessive (short)
Let's break these down by the percentage of occurrences:
- TT: 1 out of 4 squares = 25% – Tall
- Tt: 2 out of 4 squares = 50% – Tall
- tt: 1 out of 4 squares = 25% – Short
Analyzing the Given Statement:
Statement: "Plants with short stems are homozygous for that trait"
From our analysis of the second generation, we see that a plant exhibits a short stem only if it has the genotype tt. This genotype consists of two recessive alleles (t), making it homozygous recessive. Therefore, this statement is true.
Conclusion:
Based on the detailed Punnett square analysis and the separation of different genotypes, we can conclude that:
1. Plants with short stems are homozygous for that trait, which makes sense given the genotype tt is required for a plant to have a short stem.
First Generation Analysis:
For the given Punnett square:
[tex]\[ \begin{array}{|c|c|c|} \hline & t & t \\ \hline T & Tt & Tt \\ \hline T & Tt & Tt \\ \hline \end{array} \][/tex]
Here, all offspring are Tt, which means they all have one dominant allele (T) and one recessive allele (t). Since T is dominant, all plants will exhibit the tall phenotype. Therefore, the genotypes of the first generation are:
- Tt (100%) – All tall.
Second Generation Analysis:
For the second-generation Punnett square:
[tex]\[ \begin{array}{|c|c|c|} \hline & T & t \\ \hline T & TT & Tt \\ \hline t & Tt & tt \\ \hline \end{array} \][/tex]
In this scenario, the possible genotypes are:
- TT – Homozygous dominant (tall)
- Tt – Heterozygous (tall)
- tt – Homozygous recessive (short)
Let's break these down by the percentage of occurrences:
- TT: 1 out of 4 squares = 25% – Tall
- Tt: 2 out of 4 squares = 50% – Tall
- tt: 1 out of 4 squares = 25% – Short
Analyzing the Given Statement:
Statement: "Plants with short stems are homozygous for that trait"
From our analysis of the second generation, we see that a plant exhibits a short stem only if it has the genotype tt. This genotype consists of two recessive alleles (t), making it homozygous recessive. Therefore, this statement is true.
Conclusion:
Based on the detailed Punnett square analysis and the separation of different genotypes, we can conclude that:
1. Plants with short stems are homozygous for that trait, which makes sense given the genotype tt is required for a plant to have a short stem.