Question

Newton/sq. meter is the unit of:
A. Energy
B. Momentum
C. Pressure
D. Force

Answer 1

There are certain systems for the measurement of physical quantities. This includes S.I. (Standard international) units, FPS (Foot pound second system), CGS (Centimeter gram second system), etc. If we are supposed to find the ratio of any two quantities, first of all we must know the individual S.I. units.
Formula used:
$W = \int F.ds,\ Pressure = \dfrac{Force}{Area}$

Complete answer:
As we know, Newton is the unit of force which is any push or pull that changes the state of motion of a body as per Newton’s laws of motion. Also the momentum of a body is the product of mass and velocity of the body. Hence its unit is $kg \times ms^{-1} = kg\ ms^{-1}$.
Energy of a body may be defined as the ability to do work by a body. It has the same units as that of work done by a force. Work could be written as $W = \int F.ds$Or $W = \int Fds cos\theta$. Thus has units - $Newton\times meter - Nm$, which is also called Joule.
Now, coming to pressure, it is defined as the force acting per unit area of a surface. This force should be perpendicular to the surface and is sometimes called thrust.
Pressure could be written as $Pressure = \dfrac{Force}{Area}$. It has units as $\dfrac{Newton}{metre^2}$or Newton/sq. metre.

So, the correct answer is “Option C”.

Note:
Pressure is a scalar quantity and has S.I. units as $N/m^2$. We can also write the units of pressure as Pascal (Pa). Atmospheric pressure is also a type of pressure exerted by the weight of air molecules on to us. This pressure at the surface of earth has a value $1.013\times 10^5\ Pa$also called 1 atm.