Question

One Pascal is equal to
(A) $1N/{m^2}$
(B) $1N{m^2}$
(C)$1N/m$
(D)$1Nm$

Answer 1

Hint: Pascal is the unit of pressure. Pressure is defined as the force applied per unit area.For example-: The knife we use the cut vegetables has a very small area. So when we apply force on it, the pressure exerted on the knife cuts the vegetables easily.

Complete step by step answer:
We know that Pressure is defined as, force applied per unit area.
$Pressure = \dfrac{{Force}}{{Area}}$
The S.I. the unit of force is Newton, denoted by N. And the S.I. unit of Area is meter, denoted by m. And Pascal is the unit of pressure. So assuming the units in the above formula, we get
$ \Rightarrow pascal = \dfrac{N}{{{m^2}}}$
Since, Area is measured in $metr{e^2}$
$\therefore $1$pascal = 1\dfrac{N}{{{m^2}}}$
Therefore, the answer is (A) $1N/{m^2}$.

So, the correct answer is “Option A”.

Additional Information:
Pressure is used in many ways in daily life. For example, when a doctor needs to take a blood sample. She doesn’t need to cut your or do any operation on you to take it. She just inserts a hollow needle in your vein which is attached to a syringe. The pressure in your vein pushes the blood through the hollow needle to the syringe.
Sprint runners use a launchpad in the race, to apply the necessary pressure to push themselves forward in the beginning of the race.

Note: We should know that Pascal is S.I. unit of pressure then the unit of force and area unit must be in the S.I. system. It is named after the scientist Blaise Pascal. Force is acting upon an object equal to the rate at which its momentum changes with time. (From Newton’s ${2^{nd}}$law). Pressure is a vector quantity.