Unit of "Pascal " is the same as

Options

A. `10^6 "dyne/cm"^2`
B. 1 poundal/`"inch"^2`
C. `"1 newton/metre"^2`
D. `1 "dyne/cm"^2`

Answer

To solve the question, "Unit of 'Pascal' is the same as what?", we can follow these steps:

### Step 1: Understand the Definition of Pascal
1 Pascal (Pa) is defined as one Newton (N) of force applied over an area of one square meter (m²). Therefore, we can start by writing the relationship:
\[ 1 \text{ Pascal} = 1 \text{ Newton/m}^2 \]

### Step 2: Convert Newtons to Dynes
We know that 1 Newton is equal to \( 10^5 \) dynes. This conversion is based on the relationship between the SI unit (Newton) and the CGS unit (dyne):
\[ 1 \text{ N} = 10^5 \text{ dyn} \]

### Step 3: Convert Square Meters to Square Centimeters
Next, we need to convert square meters to square centimeters. We know that:
\[ 1 \text{ m}^2 = 10^4 \text{ cm}^2 \]

### Step 4: Substitute the Values
Now we can substitute these conversions into our initial equation for Pascal:
\[ 1 \text{ Pascal} = \frac{10^5 \text{ dyn}}{10^4 \text{ cm}^2} \]

### Step 5: Simplify the Expression
By simplifying the expression, we get:
\[ 1 \text{ Pascal} = 10 \text{ dyn/cm}^2 \]

### Conclusion
Thus, the unit of Pascal is the same as \( 10 \text{ dyn/cm}^2 \).

### Final Answer
The correct answer is \( 10 \text{ dyn/cm}^2 \).

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