Question

The SI unit of pressure is

• A. kg ms\(^{-2}\)
• B. kg m\(^2\)
• C. kg m\(^{-1}\)s\(^{-2}\)
• D. kg m\(^2\)s

Hint:

The SI unit of pressure is the pascal (Pa), which is equivalent to kg m\(^{-1}\)s\(^{-2}\).

Answer 1

The Correct Option is C

Step 1: Understanding the SI unit of pressure.
Pressure is defined as force per unit area. The SI unit of force is the newton (N), which is defined as: \[ 1 \, \text{N} = 1 \, \text{kg} \cdot \text{m} \cdot \text{s}^{-2} \] Pressure is thus measured in pascals (Pa), where: \[ 1 \, \text{Pa} = 1 \, \text{N/m}^2 = 1 \, \text{kg} \cdot \text{m}^{-1} \cdot \text{s}^{-2} \] Step 2: Analyzing the options.
(A) kg ms\(^{-2}\): This is incorrect. This is the unit of force, not pressure.
(B) kg m\(^2\): This is incorrect. This unit does not correspond to pressure.
(C) kg m\(^{-1}\)s\(^{-2}\): This is correct. This is the SI unit for pressure, pascal (Pa).
(D) kg m\(^2\)s: This is incorrect. This is not the unit of pressure.
Step 3: Conclusion.
The correct answer is (C) kg m\(^{-1}\)s\(^{-2}\).