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When a heterozygous tall pea plant was s...

When a heterozygous tall pea plant was selfed total 128 seeds were obtained in `F_(2)` generation. Find out the number of seeds with genotype tt ?

A

128

B

64

C

32

D

96

Text Solution

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The correct Answer is:
To solve the problem of finding the number of seeds with the genotype tt from a selfed heterozygous tall pea plant (Tt), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Genotypes of the Parents**: The heterozygous tall pea plant has the genotype Tt (where T = tall and t = short). Since it is selfed, it will be crossed with another Tt plant. 2. **Determine the Gametes**: Each parent can produce two types of gametes: T and t. Therefore, the gametes from both parents are: - Parent 1: T, t - Parent 2: T, t 3. **Set Up a Punnett Square**: Create a Punnett square to visualize the possible offspring genotypes. The Punnett square will look like this: ``` T t ---------------- T | TT | Tt | ---------------- t | Tt | tt | ---------------- ``` 4. **Analyze the Offspring Genotypes**: From the Punnett square, we can see the possible genotypes of the offspring: - TT (homozygous tall) - Tt (heterozygous tall) - Tt (heterozygous tall) - tt (homozygous short) The ratio of genotypes is: - TT: 1 - Tt: 2 - tt: 1 5. **Calculate the Ratio of tt**: The ratio of tt (short) to the total offspring is 1 out of 4. Therefore, the fraction of tt is 1/4. 6. **Calculate the Total Number of Seeds**: Given that a total of 128 seeds were obtained, we can calculate the number of seeds with the genotype tt: \[ \text{Number of seeds with genotype tt} = \frac{1}{4} \times 128 = 32 \] 7. **Conclusion**: The number of seeds with the genotype tt is 32. ### Final Answer: The number of seeds with genotype tt is **32**.
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