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Which one is not a unit of pressure ?...

Which one is not a unit of pressure ?

A

`Nm^(-2)`

B

Pascal

C

`Nm^(-1)`

D

Dyne `Cm^(-2)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which option is not a unit of pressure, we need to understand the definition of pressure and the units associated with it. ### Step-by-Step Solution: 1. **Understanding Pressure**: - Pressure is defined as the force applied per unit area. The formula for pressure (P) is given by: \[ P = \frac{F}{A} \] where \( F \) is the force and \( A \) is the area. 2. **Identifying Units of Force and Area**: - The SI unit of force is Newton (N). - The SI unit of area is square meter (m²). 3. **Deriving the Unit of Pressure**: - From the definition, the unit of pressure can be derived as: \[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} = \frac{\text{Newton}}{\text{meter}^2} = \text{Newton per meter square (N/m²)} \] - This unit is also known as Pascal (Pa), where: \[ 1 \text{ Pascal} = 1 \text{ N/m²} \] 4. **Evaluating the Given Options**: - **Newton per meter square (N/m²)**: This is a unit of pressure (1 Pascal). - **Pascal (Pa)**: This is also a unit of pressure. - **Dine centi per meter square (dyn/cm²)**: This is another unit of pressure. - **Newton per meter (N/m)**: This is not a unit of pressure; it represents force per unit length, not force per unit area. 5. **Conclusion**: - The option that is not a unit of pressure is **Newton per meter (N/m)**. ### Final Answer: **Newton per meter (N/m) is not a unit of pressure.** ---

To determine which option is not a unit of pressure, we need to understand the definition of pressure and the units associated with it. ### Step-by-Step Solution: 1. **Understanding Pressure**: - Pressure is defined as the force applied per unit area. The formula for pressure (P) is given by: \[ P = \frac{F}{A} ...
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