Statement-1 : The size (u) of the unit of physical quantity and its numercial magnitude (n) are related to each other by the relation nu= constant
Statement-2 : The choice of mass, length and time as fundamental quantities is not unique.

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 given question, we need to analyze both statements and determine their correctness based on the principles of physics.

### Step-by-step Solution:

**Step 1: Analyze Statement 1**
Statement 1 states that the size (u) of the unit of a physical quantity and its numerical magnitude (n) are related by the relation \( nu = \text{constant} \).
- This implies that if you change the size of the unit (for example, from meters to centimeters), the numerical value must adjust accordingly to keep the product \( nu \) constant.
- For example, if 1 meter is equivalent to 100 centimeters, then if we express a distance of 1 meter in centimeters, we have:
\[ n = 1 \quad \text{and} \quad u = 1 \text{ meter} = 100 \text{ cm} \Rightarrow n \cdot u = 1 \cdot 100 = 100 \]
- If we express the same distance in kilometers, we have:
\[ n = 0.001 \quad \text{and} \quad u = 1 \text{ kilometer} = 1000 \text{ meters} \Rightarrow n \cdot u = 0.001 \cdot 1000 = 1 \]
- Thus, as the size of the unit decreases, the numerical value increases, confirming that \( nu \) remains constant.
- Therefore, **Statement 1 is correct**.

**Step 2: Analyze Statement 2**
Statement 2 states that the choice of mass, length, and time as fundamental quantities is not unique.
- In physics, mass, length, and time are considered fundamental quantities because they cannot be derived from other quantities.
- However, the selection of these quantities as fundamental is not unique; different systems of units (like CGS, SI, etc.) can choose different fundamental quantities.
- For example, in some systems, electric current or temperature might also be considered fundamental.
- Therefore, the choice of mass, length, and time as fundamental quantities is indeed not unique, confirming that **Statement 2 is also correct**.

### Conclusion:
Both statements are correct.

### Final Answer:
- Statement 1: Correct
- Statement 2: Correct

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