The nucleus is a significant organelle found in the cell. Read the following statements about the nucleus and select the option that correctly determines the number of false statements.
(i) The nuclear envelope consists of two parallel membranes having space between them called pericentriolar space.
(ii) The outer membrane of the nucleus usually remains continuous with the Golgi apparatus.
(iii) The nuclear matrix or the nucleoplasm contains nucleolus and chromatin.
(iv) Larger and more numerous nucleoli are present in cells actively carrying out lipid synthesis

Options

A. One
B. Two
C. Three
D. Four

Answer

To determine the number of false statements about the nucleus from the provided options, we will analyze each statement step by step.

### Step 1: Analyze Statement (i)
**Statement (i):** The nuclear envelope consists of two parallel membranes having space between them called pericentriolar space.

- **Analysis:** The nuclear envelope does indeed consist of two parallel membranes, but the space between them is called the "perinuclear space," not "pericentriolar space." The term "pericentriolar" refers to the area around the centrosome, which is unrelated to the nucleus.

**Conclusion:** This statement is **false**.

### Step 2: Analyze Statement (ii)
**Statement (ii):** The outer membrane of the nucleus usually remains continuous with the Golgi apparatus.

- **Analysis:** The outer membrane of the nuclear envelope is not continuous with the Golgi apparatus. Instead, it is continuous with the endoplasmic reticulum (ER). The Golgi apparatus is a separate organelle involved in processing and packaging proteins.

**Conclusion:** This statement is **false**.

### Step 3: Analyze Statement (iii)
**Statement (iii):** The nuclear matrix or the nucleoplasm contains nucleolus and chromatin.

- **Analysis:** This statement is correct. The nucleoplasm (also referred to as the nuclear matrix) does contain chromatin (the DNA in its extended form) and the nucleolus (which is involved in ribosomal RNA synthesis).

**Conclusion:** This statement is **true**.

### Step 4: Analyze Statement (iv)
**Statement (iv):** Larger and more numerous nucleoli are present in cells actively carrying out lipid synthesis.

- **Analysis:** This statement is incorrect. Larger and more numerous nucleoli are typically found in cells that are actively synthesizing proteins, not lipids. The nucleolus is primarily involved in the synthesis of ribosomal RNA, which is crucial for protein synthesis.

**Conclusion:** This statement is **false**.

### Final Summary
Out of the four statements analyzed:
- Statement (i) is false.
- Statement (ii) is false.
- Statement (iii) is true.
- Statement (iv) is false.

Thus, there are **3 false statements**.

### Answer
The correct answer is **3 false statements**.

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