Statement-1 : Using dimensional analysis we can drive only those formula or relationship in which no plus sign or minus sign is involved.
Statement-2 : In dimensional analysis any incorrect equation may be dimensionally correct.

Options

A. Statement-1 : is true, Statement-2 is true and Statement-2 NOT the correct explanation for Statement-1
B. Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1
C. Statement-1 is true, Statement-2 is false
D. Statement-1 is false, Statement-2 is true

Answer

To analyze the given statements, we will break down each statement and evaluate their validity step by step.

### Step 1: Analyze Statement 1
**Statement 1:** "Using dimensional analysis we can derive only those formula or relationship in which no plus sign or minus sign is involved."

**Evaluation:**
- Dimensional analysis is a method used to check the consistency of equations by comparing the dimensions of different physical quantities.
- It is true that dimensional analysis is most effective when dealing with multiplicative relationships, but it can also be applied to additive relationships.
- For example, in the equation \( s = ut + \frac{1}{2}at^2 \), both terms on the right side can be added because they share the same dimensions (dimensions of length).
- Therefore, Statement 1 is **false**.

### Step 2: Analyze Statement 2
**Statement 2:** "In dimensional analysis any incorrect equation may be dimensionally correct."

**Evaluation:**
- This statement implies that even if an equation is incorrect in terms of its physical meaning, it can still be dimensionally valid.
- For example, the equation \( t = u - at \) is dimensionally correct, but it may not represent a physically valid relationship depending on the context.
- Thus, Statement 2 is **true**.

### Conclusion
- **Statement 1:** False
- **Statement 2:** True

### Final Answer
The correct option is that Statement 1 is false and Statement 2 is true.

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