Hydraulic lift' works on the basis of

Options

A. Stoke's law
B. Bernoulli's law
C. Pascal's law
D. Toricelli's law

Answer

To solve the question "Hydraulic lift works on the basis of," we will follow these steps:

### Step-by-Step Solution:

1. **Understanding the Concept**:
- A hydraulic lift is a device that uses a liquid to transmit force. It allows a small force applied at one point to be transformed into a larger force at another point.

2. **Identifying the Principle**:
- The operation of hydraulic lifts is based on a fundamental principle in fluid mechanics known as Pascal's Law.

3. **Statement of Pascal's Law**:
- According to Pascal's Law, when pressure is applied to a confined fluid, the pressure change occurs throughout the entire fluid without any loss in magnitude. This means that any change in pressure at one point in the fluid is transmitted equally throughout the fluid.

4. **Application of Pascal's Law in Hydraulic Lifts**:
- In a hydraulic lift, two pistons are connected by a pipe filled with hydraulic fluid. When a force is applied to the smaller piston, it creates pressure in the fluid. According to Pascal's Law, this pressure is transmitted to the larger piston, resulting in a larger force being exerted by the larger piston.

5. **Force Amplification**:
- The relationship between the forces and areas of the pistons can be expressed as:
\[ F_1 = F_2 \times \frac{A_1}{A_2} \]
where \( F_1 \) is the output force, \( F_2 \) is the input force, \( A_1 \) is the area of the larger piston, and \( A_2 \) is the area of the smaller piston. Since \( A_1 > A_2 \), it follows that \( F_1 > F_2 \), demonstrating that the output force is greater than the input force.

6. **Conclusion**:
- Therefore, the hydraulic lift operates based on Pascal's Law, which allows for the amplification of force through the use of hydraulic fluid.

### Final Answer:
Hydraulic lift works on the basis of **Pascal's Law**.