.(A): The value of dimensionless constants or proportionality constants cannot be found by dimensional methods.
(b) : The equations containing trigonometrical, exponential and logarithmic functions cannot be analysed by dimensional methods.

Options

A. Both A &B are true
B. Both A & B are false
C. Only A is true
D. Only B is true

Answer

To analyze the statements provided in the question, we will evaluate each statement regarding dimensional analysis step by step.

### Step 1: Understand the First Statement
The first statement claims that "the value of dimensionless constants or proportionality constants cannot be found by dimensional methods."

**Analysis:**
- Dimensional analysis is a technique used to understand the relationships between physical quantities by identifying their dimensions (e.g., mass, length, time).
- However, dimensionless constants (like π, e, or proportionality constants in equations) do not have dimensions. Dimensional analysis cannot provide information about these constants because it relies on dimensional quantities.

**Conclusion for Step 1:** This statement is true.

### Step 2: Understand the Second Statement
The second statement claims that "the equations containing trigonometric, exponential, and logarithmic functions cannot be analyzed by dimensional methods."

**Analysis:**
- Dimensional analysis is not applicable to equations that involve trigonometric functions (like sin, cos), exponential functions (like e^x), or logarithmic functions (like log(x)).
- These functions do not have dimensions, and their behavior cannot be captured through dimensional analysis, which focuses on dimensional quantities.

**Conclusion for Step 2:** This statement is also true.

### Step 3: Combine the Conclusions
Since both statements have been evaluated and found to be true, we can conclude that the correct answer is that both statements (A and B) are true.

### Final Answer
Both statements A and B are true. Therefore, the correct option is option 1.

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