Bernoulli's principle is based on the law of conservation of

Options

A. mass
B. momentum
C. energy
D. none of the above

Explanation

To solve the question "Bernoulli's principle is based on the law of conservation of...", we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Bernoulli's Principle**:
- Bernoulli's principle describes the behavior of fluid flow. It states that in a streamline flow, the total mechanical energy of the fluid remains constant.

2. **Identifying the Types of Energy**:
- In fluid dynamics, the total mechanical energy consists of kinetic energy (due to the motion of the fluid) and potential energy (due to the height of the fluid in a gravitational field).

3. **Applying the Law of Conservation**:
- The principle is derived from the law of conservation of energy, which states that energy cannot be created or destroyed, only transformed from one form to another. In the case of fluid flow, potential energy can be converted into kinetic energy and vice versa, but the total energy remains constant.

4. **Evaluating the Options**:
- **Option A: Mass** - This is not correct as Bernoulli's principle does not directly relate to the conservation of mass in fluid flow.
- **Option B: Momentum** - While momentum is conserved in fluid dynamics, Bernoulli's principle specifically relates to energy.
- **Option C: Energy** - This is the correct answer as Bernoulli's principle is fundamentally based on the conservation of energy.
- **Option D: None of this** - This is incorrect as we have identified that the principle is based on energy conservation.

5. **Concluding the Answer**:
- Therefore, the correct answer is **C: Energy**.