The ratio of magnitudes of unit for viscosity in SI to that in CGS is x. Then the value of `(x+2//2)` is.

Answer

To solve the problem, we need to find the ratio of the magnitudes of the units for viscosity in SI (International System of Units) to that in CGS (Centimeter-Gram-Second system) and then compute the value of \( (x + 2) / 2 \).

### Step-by-Step Solution:

1. **Identify the Units of Viscosity**:
- In SI units, the unit of viscosity is Pascal-second (Pa·s).
- In CGS units, the unit of viscosity is Poise (P).

2. **Convert SI Units to CGS Units**:
- 1 Pascal (Pa) = 1 kg/(m·s²) = 10³ g/(10² cm·s²) = 10 g/(cm·s²).
- Therefore, 1 Pa·s = 10 g/(cm·s²) × s = 10 g/(cm·s).

3. **Calculate the Ratio**:
- The ratio \( x \) of the magnitudes of the units for viscosity in SI to that in CGS can be expressed as:
\[ x = \frac{\text{Viscosity in SI}}{\text{Viscosity in CGS}} = \frac{10 \, \text{g/(cm·s)}}{1 \, \text{P}} = 10 \]

4. **Calculate \( (x + 2) / 2 \)**:
- Now that we have \( x = 10 \), we can substitute this value into the expression:
\[ (x + 2) / 2 = (10 + 2) / 2 = 12 / 2 = 6 \]

5. **Final Answer**:
- Therefore, the value of \( (x + 2) / 2 \) is **6**.