Statement-I: Dimensional analysis can give us the numerical value of proportionality constants that may appear in an algebraic expression.
Statement-II: Dimensional analysis make use of the fact that dimensions can be treated as algebraic quantities.

Options

A. Statement-1 is true and statement -2 is true
B. Statement -1 is true and statement-2 is false
C. Statement-1 is false and statement -2 is true
D. Statement-1 is false and statement -2 is false

Answer

To solve the question, we need to analyze both statements provided:

**Statement-I:** Dimensional analysis can give us the numerical value of proportionality constants that may appear in an algebraic expression.

**Statement-II:** Dimensional analysis makes use of the fact that dimensions can be treated as algebraic quantities.

### Step-by-Step Solution:

1. **Understanding Dimensional Analysis:**
Dimensional analysis is a method used in physics to analyze the dimensions of physical quantities. It helps in deriving relationships between different physical quantities by equating their dimensions.

2. **Analyzing Statement-I:**
- The statement claims that dimensional analysis can provide the numerical value of proportionality constants (k) in an algebraic expression.
- In dimensional analysis, we can determine the dimensions of various quantities involved in a relationship. However, we cannot determine the exact numerical value of the proportionality constant (k) solely from dimensional analysis.
- The reason is that dimensional analysis can only give us the form of the relationship (like the powers of the variables involved) but not the specific numerical values of constants.

3. **Analyzing Statement-II:**
- This statement asserts that dimensional analysis treats dimensions as algebraic quantities.
- This is true because in dimensional analysis, we manipulate dimensions algebraically (e.g., adding, multiplying) to derive relationships between physical quantities.
- For example, if we have a quantity that depends on mass (M), length (L), and time (T), we can express its dimensions as a combination of these fundamental dimensions.

4. **Conclusion:**
- Since Statement-I is incorrect (we cannot find the numerical value of proportionality constants using dimensional analysis), and Statement-II is correct (dimensional analysis does treat dimensions as algebraic quantities), we conclude that:
- **Statement-I is False.**
- **Statement-II is True.**

Thus, the answer to the question is that Statement-I is incorrect, and Statement-II is correct.

### Final Answer:
- Statement-I is False.
- Statement-II is True.
- Therefore, the correct option is **3**.