A cross is made between `F_(1)` (that carries two heterozygous pairs of alleles of tall and red) and a full double recessive combination for these two genes (dwarf and white). The expected progency will have

Options

A. all tall and red
B. tall and red, tall and white, dwarf and white in 1:2:1 ratio
C. tall and red: dwarf and white in 1:1 ratio
D. tall and red: tall and white: dwarf and red: dwarf and white flowered plants in 1:1:1:1 ratio

Explanation

To solve the problem, we need to analyze the genetic cross between the F1 generation, which is heterozygous for two traits (tall and red), and a double recessive parent (dwarf and white). Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Genotypes
- The F1 generation is heterozygous for both traits:
- Tall (T) is dominant over dwarf (t).
- Red (R) is dominant over white (r).
- Therefore, the genotype of the F1 plant is TtRr (heterozygous for both traits).

- The double recessive parent is homozygous recessive for both traits:
- Its genotype is ttrr (dwarf and white).

### Step 2: Set Up the Cross
- We will perform a test cross between the F1 plant (TtRr) and the double recessive plant (ttrr).
- The gametes produced by the F1 plant (TtRr) can be:
- TR (Tall and Red)
- Tr (Tall and White)
- tR (Dwarf and Red)
- tr (Dwarf and White)

### Step 3: Create a Punnett Square
- We will set up a Punnett square to visualize the combinations of the gametes from the F1 plant and the double recessive parent.

| | tr (ttrr) | tr (ttrr) |
|-------|-----------|-----------|
| **TR** | TtRr (Tall, Red) | TtRr (Tall, Red) |
| **Tr** | Ttrr (Tall, White) | Ttrr (Tall, White) |
| **tR** | ttRr (Dwarf, Red) | ttRr (Dwarf, Red) |
| **tr** | ttrr (Dwarf, White) | ttrr (Dwarf, White) |

### Step 4: Determine the Progeny
- From the Punnett square, we can see the following combinations:
- 2 TtRr (Tall, Red)
- 2 Ttrr (Tall, White)
- 2 ttRr (Dwarf, Red)
- 2 ttrr (Dwarf, White)

### Step 5: Calculate the Ratios
- The expected phenotypic ratio of the progeny will be:
- 2 Tall Red : 2 Tall White : 2 Dwarf Red : 2 Dwarf White
- This simplifies to a ratio of 1:1:1:1.

### Conclusion
The expected progeny from the cross will be:
- Tall and Red
- Tall and White
- Dwarf and Red
- Dwarf and White

### Final Answer
The expected progeny will be in the ratio of 1:1:1:1 for the combinations of Tall Red, Tall White, Dwarf Red, and Dwarf White.

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