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In F(2) generation, 960 garden pea pods ...

In `F_(2)` generation, 960 garden pea pods are produced during dihybrid cross due to self pollination of heterozygous parents. How many pods would be green and inflated

A

240

B

180

C

60

D

540

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the number of green and inflated garden pea pods produced in the F2 generation during a dihybrid cross, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Traits**: In a dihybrid cross involving garden pea pods, we are dealing with two traits: - Pod color: Green (dominant) and Yellow (recessive) - Pod shape: Inflated (dominant) and Constricted (recessive) 2. **Identify the Genotypes**: The heterozygous parents for both traits can be represented as: - Green and Inflated: GgIi (where G = green, g = yellow, I = inflated, i = constricted) 3. **Determine the Phenotypic Ratio**: From Mendel's dihybrid cross, the phenotypic ratio for the offspring is: - 9:3:3:1 This means: - 9 parts will be Green and Inflated (dominant for both traits) - 3 parts will be Green and Constricted - 3 parts will be Yellow and Inflated - 1 part will be Yellow and Constricted 4. **Calculate Total Pods in F2 Generation**: We are given that a total of 960 pods are produced in the F2 generation. 5. **Calculate the Number of Green and Inflated Pods**: According to the 9:3:3:1 ratio, the fraction of pods that are Green and Inflated is: \[ \text{Fraction of Green and Inflated} = \frac{9}{16} \] To find the actual number of Green and Inflated pods, we calculate: \[ \text{Number of Green and Inflated Pods} = \frac{9}{16} \times 960 \] 6. **Perform the Calculation**: \[ \text{Number of Green and Inflated Pods} = \frac{9 \times 960}{16} = \frac{8640}{16} = 540 \] ### Final Answer: Thus, the number of green and inflated pods in the F2 generation is **540**.
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