
Given,1 pascal is equal to _______ \[N{{m}^{-2}}\].
Answer
464.4k+ views
Hint: We need to know the physical quantity which has the given units Pascal and the newton per meters squared. We can then possibly compare the two quantities to get the required relation between the two so as to solve the given problem.
Complete answer:
We know that to compare and find relation between two units as given in the problem, the two units should be used for the same physical quantity. Here, we are given the units Pascal and Newton per meters squared to be compared with each other.
Let us consider the first unit – Pascal. We know that it is the standard unit of measurement of Pressure. One pascal is defined as one Newton of force acting perpendicular on a unit area of a surface. We understand that the pressure is the force acting per unit area. The definition for one pascal is derived from this relation.
Now, let us consider the second unit given to us – Newton per meter squared. We know that Newton is the SI unit for force and meters squared corresponds to the square of the length, which is indeed the area. So, from this, we can conclude that the given unit Newtons per meter squared is the force acting per unit area.
We understand from our above arguments that both the units - Pascal and the newtons per meter squared are the same. In fact, one pascal is defined as one newton per meter squared.
\[\begin{align}
& \text{Pressure, }P=\dfrac{\text{Force, }F}{\text{Area, }A} \\
& \Rightarrow 1Pa=1N{{m}^{-2}} \\
\end{align}\]
So, we get that \[1Pa=1N{{m}^{-2}}\]. This is the required solution.
Note:
We know that the quantity Stress is also the force applied per unit area, but it is not often considered and denoted as pressure. And therefore, the unit Pascal is not very often used, even if it is considered to be the Standard International unit for stress.
Complete answer:
We know that to compare and find relation between two units as given in the problem, the two units should be used for the same physical quantity. Here, we are given the units Pascal and Newton per meters squared to be compared with each other.
Let us consider the first unit – Pascal. We know that it is the standard unit of measurement of Pressure. One pascal is defined as one Newton of force acting perpendicular on a unit area of a surface. We understand that the pressure is the force acting per unit area. The definition for one pascal is derived from this relation.
Now, let us consider the second unit given to us – Newton per meter squared. We know that Newton is the SI unit for force and meters squared corresponds to the square of the length, which is indeed the area. So, from this, we can conclude that the given unit Newtons per meter squared is the force acting per unit area.
We understand from our above arguments that both the units - Pascal and the newtons per meter squared are the same. In fact, one pascal is defined as one newton per meter squared.
\[\begin{align}
& \text{Pressure, }P=\dfrac{\text{Force, }F}{\text{Area, }A} \\
& \Rightarrow 1Pa=1N{{m}^{-2}} \\
\end{align}\]
So, we get that \[1Pa=1N{{m}^{-2}}\]. This is the required solution.
Note:
We know that the quantity Stress is also the force applied per unit area, but it is not often considered and denoted as pressure. And therefore, the unit Pascal is not very often used, even if it is considered to be the Standard International unit for stress.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Trending doubts
10 examples of friction in our daily life

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

State and prove Bernoullis theorem class 11 physics CBSE

What organs are located on the left side of your body class 11 biology CBSE

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
