To solve the question "Choose the correct options," we will analyze each of the provided options step by step.
### Step-by-Step Solution:
1. **Understanding the Units**:
- **Nanometer (nm)**: A unit of length equal to \(10^{-9}\) meters.
- **Millinewton (mN)**: A unit of force equal to \(10^{-3}\) newtons.
**Hint**: Remember that different physical quantities have different units. Nanometers measure length, while millinewtons measure force.
2. **Analyzing Option 1**:
- The statement claims that "Nanometer is not the same as Millinewton."
- Since they measure different physical quantities (length vs. force), this statement is **correct**.
**Hint**: Check if the units measure the same physical quantity. If not, they cannot be the same.
3. **Analyzing Option 2**:
- The first part states "1 nanometer is equal to \(10^{-9}\) meters," which is true.
- The second part states "1 millinewton is equal to \(10^{-3}\) newtons," which is also true.
- Therefore, this option is **correct**.
**Hint**: Convert the units to their base form and verify the equality.
4. **Analyzing Option 3**:
- This option states that when we change the unit of measurement of a quantity, its numerical value changes.
- For example, 1 meter is equal to 100 centimeters. Here, the numerical value changes from 1 to 100, confirming the statement is **correct**.
**Hint**: Consider how unit conversions affect numerical values.
5. **Analyzing Option 4**:
- This option discusses how changing the unit affects the numerical value.
- It states that when converting from a larger unit (meter) to a smaller unit (centimeter), the numerical value increases.
- This is also **correct** as the numerical value of the quantity changes based on the unit used.
**Hint**: Think about the relationship between larger and smaller units and how they affect numerical values.
### Conclusion:
After analyzing all the options, we find that options 1, 2, 3, and 4 are all correct.
**Final Answer**: Options A, B, C, and D are correct.
