Question
Verify Pascal’s law by giving an example.
Solution
Verification of Pascal's law giving an example:
Given, a container having opening of different cross-section provided with frictionless piston containing incompressible liquid.
Let the area of cross-section of pistons be A, 2A and 3A respectively.
Now, applying force F on the piston of area A, keeping the other pistons in position, a force of 2F is required on piston of area 2A and 3F force is required on piston of area 3A.
Therefore,
Pressure on piston of area A is,
Pressure on piston of area 2A is,
Pressure on piston of area 3A is,
Given, a container having opening of different cross-section provided with frictionless piston containing incompressible liquid.
Let the area of cross-section of pistons be A, 2A and 3A respectively.
Now, applying force F on the piston of area A, keeping the other pistons in position, a force of 2F is required on piston of area 2A and 3F force is required on piston of area 3A.
Therefore,
Pressure on piston of area A is,
Pressure on piston of area 2A is,
Pressure on piston of area 3A is,
Therefore, from the above 3 equations it is proved that pressure exerted is the same.
Hence, Pascal's law is proved.
Hence, Pascal's law is proved.
