Which of the following expressions represents the correct dimensions of pressure?

M L^{-1} T^{-2}

Pressure is defined as Force divided by Area. Substituting the fundamental dimensions gives Force as

M L T^{-2}

and Area as

L^2

. Dividing Force by Area results in

\frac{M L T^{-2}}{L^2} = M L^{-1} T^{-2}

. Therefore, the expression

M L^{-1} T^{-2}

is correct.

State the physical definition formula for pressure

Pressure

P = \frac{\text{Force}}{\text{Area}}

Pressure is defined as force applied perpendicular to a surface per unit area.

Substitute fundamental dimensions for force and area

[P] = \frac{[M L T^{-2}]}{[L^2]}

Force has dimensions

M L T^{-2}

and area has dimensions

L^2

Simplify the index of length

L

[P] = M L^{1 - 2} T^{-2} = M L^{-1} T^{-2}

Applying the rules of indices for length gives

L^1 \cdot L^{-2} = L^{-1}

Dimensions of Pressure

Soru