Answer
417.9k+ views
Hint:Pressure energy of a liquid is nothing but the energy that is stored in each unit of the liquid. The units and dimensions of this quantity is the same as that of energy. This quantity is highly useful in order to determine the behavioural characteristics of liquids.
Complete answer:
We can say that the pressure energy of a liquid is the same as that of the energy that is contained inside the liquid. The pressure energy can be deduced as the product of pressure and volume, that is $PV$. We can find the value of the pressure energy per unit mass by dividing it was the quantity of mass that is $m$.
Hence, pressure energy per unit mass can be written as $\dfrac{PV}{m}=\dfrac{P}{\rho }$
We have expressed $\dfrac{V}{m}$ as \[\dfrac{1}{\rho }\] which is nothing but the reciprocal of density. We have derived this from the known fact that density is the quotient of the mass and the volume of the liquid.
Thus we can arrive at a conclusion that option A is the correct answer.
Note:We find the application of pressure energy in the Bernoulli’s theorem where the pressure energy per unit volume gives us the value of the hydrostatic pressure of the fluid. Sometimes the question can be framed in this manner as well. Hence, the student must be aware of the connection between the pressure energy and Bernoulli's principle.
Complete answer:
We can say that the pressure energy of a liquid is the same as that of the energy that is contained inside the liquid. The pressure energy can be deduced as the product of pressure and volume, that is $PV$. We can find the value of the pressure energy per unit mass by dividing it was the quantity of mass that is $m$.
Hence, pressure energy per unit mass can be written as $\dfrac{PV}{m}=\dfrac{P}{\rho }$
We have expressed $\dfrac{V}{m}$ as \[\dfrac{1}{\rho }\] which is nothing but the reciprocal of density. We have derived this from the known fact that density is the quotient of the mass and the volume of the liquid.
Thus we can arrive at a conclusion that option A is the correct answer.
Note:We find the application of pressure energy in the Bernoulli’s theorem where the pressure energy per unit volume gives us the value of the hydrostatic pressure of the fluid. Sometimes the question can be framed in this manner as well. Hence, the student must be aware of the connection between the pressure energy and Bernoulli's principle.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)