Given table shows the `""^(14)CO_2` in which molecule would the radioactively appear first in these plants ?

Options

A. `{:("Wheat ","Sugarcane"),("3 - Phosphoglycerate","Oxaloacetate"):}`
B. `{:("Wheat ","Sugarcane"),("3 - Phosphoglycerate","3 - Phosphoglycerate"):}`
C. `{:("Wheat ","Sugarcane"),("Oxaloacetate","Oxaloacetate"):}`
D. `{:("Wheat ","Sugarcane"),(" Malate","3 - Phosphoglycerate"):}`

Answer

To determine in which molecule the radioactively labeled carbon from \(^{14}CO_2\) would appear first in plants, we need to understand the process of photosynthesis and the pathways involved in carbon fixation.

### Step-by-Step Solution:

1. **Understanding Photosynthesis**: Photosynthesis occurs in two main stages: the light-dependent reactions and the light-independent reactions (Calvin cycle). In the Calvin cycle, carbon dioxide is fixed into organic molecules.

2. **Identifying the Pathways**: Different plants utilize different pathways for carbon fixation:
- **C3 Pathway**: Involves the formation of 3-phosphoglycerate (3-PGA) as the first stable product. This is typical for plants like wheat.
- **C4 Pathway**: Involves the formation of oxaloacetate as the first stable product. This is typical for plants like sugarcane.

3. **Analyzing the Options**: The question provides options that include combinations of molecules formed in these pathways:
- Option A: Sugarcane, 3-phosphoglycerate
- Option B: Sugarcane, 3-phosphoglycerate
- Option C: Sugarcane, oxaloacetate
- Option D: Sugarcane, manolate, 3-phosphoglycerate

4. **Determining the First Appearance**:
- In C3 plants (like wheat), the first product formed from \(^{14}CO_2\) is 3-PGA.
- In C4 plants (like sugarcane), the first product formed is oxaloacetate.
- Therefore, in the context of the question, we need to find out which of these products appears first when \(^{14}CO_2\) is introduced.

5. **Conclusion**: Since the question is about which molecule will show radioactivity first, we conclude that:
- For C3 plants (like wheat), 3-PGA will show radioactivity first.
- For C4 plants (like sugarcane), oxaloacetate will show radioactivity first.
- Given the options, the correct answer is Option A, which matches the expected products of the plants mentioned.

### Final Answer:
The radioactively labeled carbon from \(^{14}CO_2\) would appear first in **3-phosphoglycerate** in wheat and **oxaloacetate** in sugarcane, making **Option A** the correct choice.