Read the assertion and reason carefully to mark the correct option ou...
Pascal's law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.A hydraulic lift for automobiles is an example of a force multiplied by hydraulic press, based on Pascal's principle. The fluid in the small cylinder must be moved much further than the distance the car is lifted.
Thrust is the total force acting perpendicular to the surface. The unit of thrust is Newton. The force acting (thrust) per unit area is called pressure.
Both are correct statements but reason is not the correct explanation of assertion .
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Read the assertion and reason carefully to mark the correct option ou...
Assertion: Pascal's law is the working principle of a hydraulic lift.
Reason: Pressure is equal to thrust per area.
Explanation:
Pascal's law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase in pressure throughout the entire fluid. This principle is the basis for the operation of hydraulic systems, including hydraulic lifts.
Hydraulic Lift:
A hydraulic lift is a device that uses Pascal's law to lift heavy objects. It consists of two connected cylinders, one larger and one smaller, filled with an incompressible fluid such as oil. When a force is applied to the smaller cylinder, it creates pressure in the fluid, which is transmitted equally to the larger cylinder. This leads to a larger force being exerted by the larger cylinder, allowing it to lift heavy objects.
Pressure and Thrust:
Pressure is defined as the force acting per unit area. It is calculated by dividing the magnitude of the force by the area over which it is applied. Mathematically, pressure (P) can be expressed as P = F/A, where F is the force and A is the area.
Thrust is the force exerted perpendicular to the surface of an object due to pressure. It is also calculated as the force divided by the area over which it is applied. Mathematically, thrust (T) can be expressed as T = F/A, where F is the force and A is the area.
Relationship between Pressure and Thrust:
Since both pressure and thrust are calculated by dividing the force by the area, they are equal. Therefore, pressure is equal to thrust per area.
Reasoning:
The reason provided in the statement correctly explains the assertion. Pascal's law states that pressure is transmitted equally in all directions in a confined fluid. In a hydraulic lift, when a force is applied to a smaller cylinder, it creates pressure in the fluid. This pressure is transmitted equally to the larger cylinder, resulting in a larger force being exerted. The relationship between pressure and thrust, as explained above, supports the reasoning provided.
Conclusion:
Based on the explanation and reasoning provided, option 'B' is the correct answer. Both the assertion and the reason are true, but the reason is the correct explanation of the assertion.
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