Statement-I: The product of the numerical value and unit of physical quantity remains same in every system of unit.
Statement-II: magnitude of a physical quantity remains same in every system of units.

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 the two statements provided:

**Statement-I**: The product of the numerical value and unit of a physical quantity remains the same in every system of unit.

**Statement-II**: The magnitude of a physical quantity remains the same in every system of units.

### Step-by-Step Solution:

1. **Understanding the Concept**:
- A physical quantity can be expressed as the product of its numerical value (magnitude) and its unit. For example, if we have a length \( L \), it can be expressed as \( L = n \times u \), where \( n \) is the numerical value and \( u \) is the unit.

2. **Analyzing Statement-I**:
- According to Statement-I, regardless of the unit system (e.g., CGS, SI), the product \( n \times u \) should remain constant for a given physical quantity.
- For instance, if a length is measured as 10 cm in the CGS system, it can also be expressed as 0.1 m in the SI system. Here:
- In CGS: \( n = 10 \), \( u = \text{cm} \)
- In SI: \( n = 0.1 \), \( u = \text{m} \)
- The product in both cases represents the same physical length, confirming that Statement-I is correct.

3. **Analyzing Statement-II**:
- Statement-II claims that the magnitude of a physical quantity remains the same in every system of units.
- However, as we change the unit from cm to m, the numerical value (magnitude) changes:
- In CGS: \( n = 10 \) (cm)
- In SI: \( n = 0.1 \) (m)
- This indicates that the numerical value (magnitude) changes with the unit, thus making Statement-II incorrect.

4. **Conclusion**:
- Since Statement-I is correct and Statement-II is incorrect, the final answer is that Statement-I is true while Statement-II is false.

### Final Answer:
- Statement-I is correct.
- Statement-II is incorrect.