The working of hydraulic lift is based on the principle of
- Bernouli
- Toricelli's law
- Pascal's law
- Magnus effect
- Stoke's law
The Correct Option is C
Approach Solution - 1
Hydraulic lifts operate on the basis of Pascal’s law, which states that the pressure exerted on an enclosed fluid is transmitted undiminished to all portions of the fluid and to the walls of its container. In the case of a hydraulic lift, a small force applied on a smaller piston generates a larger force on a larger piston, lifting the load. Pascal's law is fundamental to the design and operation of hydraulic systems, like lifts and presses.
The correct option is (C) : Pascal's law
Approach Solution -2
A hydraulic lift works on the principle of transmission of pressure in a confined fluid.
According to Pascal's law:
"When pressure is applied to a confined fluid, the pressure is transmitted equally in all directions."
In a hydraulic lift, a small force applied on a smaller piston creates a pressure that is transmitted through the fluid to a larger piston, producing a larger force capable of lifting heavy loads.
Correct answer: Pascal's law
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A bead of mass \( m \) slides without friction on the wall of a vertical circular hoop of radius \( R \) as shown in figure. The bead moves under the combined action of gravity and a massless spring \( k \) attached to the bottom of the hoop. The equilibrium length of the spring is \( R \). If the bead is released from the top of the hoop with (negligible) zero initial speed, the velocity of the bead, when the length of spring becomes \( R \), would be (spring constant is \( k \), \( g \) is acceleration due to gravity):
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