• Engineering and Architecture
• Medicine and Allied Sciences
• Law
• Animation and Design
• Media, Mass Communication and Journalism
• Finance & Accounts
• Computer Application and IT
• Pharmacy
• Hospitality and Tourism
• Competition
• School
• Arts, Commerce & Sciences
• Learn
• Online Courses and Certifications

# JEE Main, NEET: How To Study Pascal’s Law

###### Synopsis

If you are preparing for JEE Main or NEET (UG), there is no way you can skip Pascal’s law in Physics. However, if you are not clear about the concepts that govern Pascal’s law, remembering it at a crucial time in the middle of the entrance exams could hamper your chances of scoring well. Careers360 explains the important  topic of Pascal's law in simple terms.

###### Synopsis

If you are preparing for JEE Main or NEET (UG), there is no way you can skip Pascal’s law in Physics. However, if you are not clear about the concepts that govern Pascal’s law, remembering it at a crucial time in the middle of the entrance exams could hamper your chances of scoring well. Careers360 explains the important  topic of Pascal's law in simple terms.

What is Pascal's Law?The French mathematician, scientist, inventor, and theologian Blaise Pascal in 1653 published his work on fluids ‘The physical treatises of Pascal: the equilibrium of liquids’, in which he discussed principles of static fluids. A fluid at rest is a static fluid and such a state of the fluid is said to be static equilibrium. If the fluid under consideration is water then we say it is in hydrostatic equilibrium. In static equilibrium, the net force on any part of the fluid must be zero at all times otherwise the fluid will start to flow. Fluid taken here for the study is incompressible i.e., its density will remain constant.

Statement: Let us see how the National Council for Educational Research and Training (NCERT) treats Pascal’s law, also known as Pascal's principle. This principle states that when a change in pressure is applied to an enclosed fluid, it is transmitted equally and undiminished to all portions of the fluid and to the walls of its container.

In the above illustration, you can see that pressure is applied on the sponge ball by pressing it with the thumb and according to Pascal’s law we know that the pressure applied is transmitted equally in all directions. Hence, fluid is released with the same pressure through the pores of the sponge ball.

Before discussing the application of Pascal’s law, let us look at the mathematical expression of Pascal’s law. Suppose you apply force F1 on one of the movable pistons (left side) thereby exerting pressure p1 on the cylindrical container of cross-sectional area A1. Because of the change in pressure due to force F1, it transmits equally and undiminished to all portions of fluids.

From Pascal’s law,

Pressure applied on one of the left cylinders is equal to the pressure exerted on the right cylinder

Pascal's Law formula(Image: Shutterstock)

The hydraulic system is based on Pascal's principle of transmission of fluid pressure equally and undiminished in all directions. Let us discuss the application of Pascal’s law

## Hydraulic Lift

Hydraulic Lift(Image: Shutterstock)

In a hydraulic lift, fitted with airtight cylinders, there are two cylinders; a narrow cylinder A is connected with a wider cylinder B by an ideal fluid (incompressible). The lowering of the piston fitted to cylinder A because of application of pressure is transmitted equal and undiminished to the piston fitted to cylinder B by virtue of Pascal’s law. As a result the platform cum piston connected with the wider cylinder is lifted up.

• It is cheaper to install than other elevator types.

• It is more portable than other elevating means.

• It has a relatively slow lifting speed.

• Fluid (oil in the given case) in the piston system can overheat quickly due to compression, so an efficient cooling mechanism is needed.

• Slight jerk may be felt compared to the other lift systems.

The lifting mechanism of a hydraulic lift that we have shown here is utilizing mechanical power (because of the pressing of the piston by a person as shown in the figure) but for practical purposes we use an electrically powered pump in which fluid is pushed into a jack lifting system to lift the platform up.

Electrically powered hydraulic lifting system

Pistons within a cylinder at the base of the lift provide the power to the elevator to move the object placed over it up and down.

## Hydraulic Brakes

Application of Pascal's law: Hydraulic brake system

The braking systems of cars, trucks, etc. are based on Pascal's law. The hydraulic brakes allow equal pressure to be transmitted throughout the liquid. It consists of a master cylinder, four-wheel cylinders (slave cylinder), and pipeline carrying braking fluid from the master cylinder to a slave cylinder.

Brakes Applied: When the brake pedal is pressed, the force exerted applies pressure on the piston connected with the master cylinder and the pressure applied is transmitted equally and undiminished with the help of braking fluid via metal pipeline. The increase in pressure applied after pressing the pedal transmits to all the pistons of the other cylinders which leads to outward stretching of spring connected with the shoe which in turn presses drum brake. The force of friction between the brake shoe and the drum brake stops the wheels. The spring is extended because of the pressing of the brake shoe with the drum brake and both the arms of the brake shoe are in sync because of the same pressure transmitted by the liquid as per Pascal’s law.

Brakes Released: As soon as the foot is taken off the brake pedal the spring gets relaxed because of the restoring spring force and the liquid is pushed back due to the returning of the piston towards its initial position.

Advantages of Hydraulic Braking System :

• Equal braking action on all wheels (equal pressure transmission because of Pascal’s law).

• It is easy to build.

• The low wear rate of brake linings(a layer of hard material attached to a brake shoe or brake pad to increase friction against the drum or disc).

Disadvantages of Hydraulic Braking System :

• The braking system may fail due to leakage of fluid from brake linings.

• The presence of air inside the pipeline affects the whole system

• Comparatively, it requires frequent maintenance more than the other braking systems.

There are many devices around us that work on the principle of Pascal’s law. It may appear like a simple law but its greatness lies in its application.

• Applied and interdisciplinary physics
• Chemical engineering
• Classical mechanics
• Mechanical engineering
• Continuum mechanics
• Civil engineering
• Manufactured goods
• Machines
• Hardware (mechanical)

## Subscribe to Premium Membership Plan

##### *Unlock all premium content and benefits:
• Career Guidance

Plan ahead with clear directions on courses, careers and best ways to learn

• Fees & Scholarships

• Jobs & Internships

Prepare for employed life with tips on jobs, find paid & unpaid internship listings, summer jobs and career advice.

• Interactive Career Counselling Webinars

• College Placement Reports

Wondering what comes after college? Read placement reports of top universities, colleges.

• Sports and Extra Curricular Activities

Interested in music? Art? Summer camps? Start exploring here.

• Mental Health & Well Being

To help you deal with stress, face exams, stay focussed, experts share tips here.

• Career Foundation

It's not too early to train for work life. Read about building CVs, cracking job interviews; find paid & unpaid internship listings, summer jobs and career advice.

• Study Help

Understand concepts of Physics, Chemistry Maths and others through fun stories and illustrations

• NCERT, Exemplar, CBSE Previous year Solutions for Maths & Science

- Concept-oriented detailed solutions for NCERT (Class 6 to 12), Exemplar (Class 9 to 12) & CBSE Previous 5 year (Class 10 and 12)

- For Maths and Science

• KVPY SA Test Series

Mock tests replicating the actual exam interface.

Previous 10 year' official question papers with detailed solutions.

• KVPY SB / SX Test Series

Mock tests simulating the actual exam interface.

Previous 10 years' official question papers with detailed solutions.

For Class 12 and first-year undergraduate students.

• 15+ Engineering College Predictors for State & Top University Exams

Analyses your exam performace to predict admission chances based on Domicile, Caste, Gender, etc. and Exam Result.

Get your personalised report with Top Predicted Colleges.

• NCHMJEE Hospitality College Predictor

- Get your NCHM JEE personalised report with Top Predicted IHMs, Government & Private Colleges delivered via email

• NIFT Design College Predictor

- Know your admission chances based on your Home State, Caste, etc. & exam result for NIFT campuses

- Get your NIFT personalised report for B.Des & B.FTech delivered via email

• CLAT, AILET, DUET L.L.B, MHCET Law College Predictors

- Know your admission chances in NLUs, Delhi University’s Faculty of Law for L.L.B (3Yr), National Law University, Delhi’s B.A-L.L.B course & Law colleges accross Maharashtra based on your Seat Type, Caste, etc. & exam results

- Get your personalised report delivered via email

Interactive webinars with experts for different countries will take you through all the basics.

• SOP Guidance

What should go into your statement of purpose (SOP)? Learn how to put together a winning application.

• English Proficiency Test

How can you ace the English proficiency test? Let the experts help you.

• Visa Regulations

• Career Support

Exams and scholarship alerts, test prep reviews, study plans, college selection

• Poor
• Weak
• Good
• Very Good
• Excellent

Students

Colleges

Exams

E-Books