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Assertion: Pascal law is the working pri...

Assertion: Pascal law is the working principle of hydraulic lift.
Reason: Pressure `=(thrust)/(area)`

A

Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the assertion and reason provided in the question, we will break down the concepts involved step by step. ### Step 1: Understanding Pascal's Law Pascal's Law states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished throughout the fluid in all directions. This principle is fundamental in hydraulic systems. **Hint:** Recall how pressure behaves in a fluid when it is confined and how it transmits force. ### Step 2: Application of Pascal's Law in Hydraulic Lifts A hydraulic lift operates based on Pascal's Law. When a small force is applied to a small area of fluid, it creates pressure that is transmitted throughout the fluid. This pressure acts on a larger area, allowing a much larger force to be exerted on the object being lifted. **Hint:** Think about how the areas of the pistons in a hydraulic lift differ and how that affects the force exerted. ### Step 3: Analyzing the Assertion The assertion states that "Pascal's law is the working principle of hydraulic lift." This is true because hydraulic lifts utilize the principle of Pascal's Law to lift heavy objects by transmitting pressure through the fluid. **Hint:** Consider the role of pressure transmission in lifting heavy loads. ### Step 4: Understanding the Reason The reason provided states that "Pressure = (thrust)/(area)." This is indeed a correct expression of how pressure is defined in a fluid context. However, it does not directly explain why Pascal's Law is the working principle of hydraulic lifts. **Hint:** Reflect on whether the definition of pressure provides a direct explanation for the operation of hydraulic lifts. ### Step 5: Conclusion The assertion is true, as Pascal's Law is indeed the working principle of hydraulic lifts. However, the reason, while correct in defining pressure, does not serve as a correct explanation for the assertion. Therefore, the correct answer is that the assertion is true, but the reason is not a correct explanation for the assertion. **Final Answer:** Assertion is true; Reason is true but not a correct explanation.

To analyze the assertion and reason provided in the question, we will break down the concepts involved step by step. ### Step 1: Understanding Pascal's Law Pascal's Law states that when pressure is applied to a confined fluid, the pressure change is transmitted undiminished throughout the fluid in all directions. This principle is fundamental in hydraulic systems. **Hint:** Recall how pressure behaves in a fluid when it is confined and how it transmits force. ### Step 2: Application of Pascal's Law in Hydraulic Lifts ...
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