Which of the following is extensive and continuous cells is the outer membrane of the nucleus?

Options

A. Smooth ER
B. Golgi apparatus
C. Lysosomes
D. Rough ER

Answer

To determine which of the following is extensive and continuous with the outer membrane of the nucleus, we need to analyze the options provided: smooth endoplasmic reticulum, Golgi apparatus, lysosome, and rough endoplasmic reticulum.

### Step-by-Step Solution:

1. **Understanding the Structure of the Nucleus**:
- The nucleus is surrounded by a double membrane known as the nuclear envelope, which consists of an inner and outer membrane.

2. **Analyzing the Options**:
- **Smooth Endoplasmic Reticulum (SER)**:
- The SER is involved in lipid synthesis and does not directly contact the outer membrane of the nucleus. It is located further away from the nucleus.
- **Golgi Apparatus**:
- The Golgi apparatus is connected to the endoplasmic reticulum (ER) but is not directly attached to the nucleus. Its primary function is to modify, sort, and package proteins and lipids.
- **Lysosome**:
- Lysosomes are membrane-bound organelles found in the cytoplasm and do not have a direct connection to the nucleus.
- **Rough Endoplasmic Reticulum (RER)**:
- The RER is studded with ribosomes and is involved in protein synthesis. Importantly, the RER is continuous with the outer membrane of the nucleus, making it the closest structure to the nucleus.

3. **Conclusion**:
- Based on the analysis, the extensive and continuous structure with the outer membrane of the nucleus is the **Rough Endoplasmic Reticulum (RER)**.

### Final Answer:
The extensive and continuous cell that is the outer membrane of the nucleus is the **Rough Endoplasmic Reticulum (RER)**.