Bernoulli's theorem is a consequence of the law of conservation of

Options

A. Angular momentum
B. Mass
C. Energy
D. Momentum

Answer

To solve the question regarding Bernoulli's theorem and its relation to the law of conservation, we can follow these steps:

### Step 1: Understand Bernoulli's Theorem
Bernoulli's theorem describes the behavior of a fluid moving along a streamline. It states that for an incompressible, non-viscous fluid, the total mechanical energy along a streamline remains constant. This total energy includes kinetic energy, potential energy, and pressure energy.

### Step 2: Identify the Types of Energy in Bernoulli's Theorem
In the context of Bernoulli's theorem, we recognize three forms of energy:
1. **Kinetic Energy (KE)**: This is the energy due to the motion of the fluid.
2. **Potential Energy (PE)**: This is the energy due to the height of the fluid above a reference level, related to gravitational potential energy.
3. **Pressure Energy (PE)**: This is the energy stored due to the pressure exerted by the fluid.

### Step 3: Apply the Law of Conservation of Energy
Bernoulli's theorem is derived from the principle of conservation of energy. It implies that the sum of the kinetic energy, potential energy, and pressure energy remains constant for a flowing fluid. Mathematically, this can be expressed as:
\[ KE + PE + Pressure Energy = Constant \]

### Step 4: Conclusion
Since Bernoulli's theorem is fundamentally based on the conservation of energy, the correct answer to the question is that Bernoulli's theorem is a consequence of the law of conservation of **Energy**.

### Final Answer
**Bernoulli's theorem is a consequence of the law of conservation of Energy.**

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