The equation of continuity is a consequence of conservation of

Options

A. Charge
B. Mass
C. Energy
D. Temperature

Answer

To solve the question, we need to identify the principle that the equation of continuity is based on. The equation of continuity relates to the flow of fluids in a pipe and is derived from a fundamental conservation law.

### Step-by-Step Solution:

1. **Understanding the Equation of Continuity**:
The equation of continuity states that for an incompressible fluid flowing through a pipe, the mass flow rate must remain constant from one cross-section of the pipe to another. This can be expressed mathematically as:
\[ A_1 V_1 = A_2 V_2 \]
where \(A_1\) and \(A_2\) are the cross-sectional areas at points A and B, and \(V_1\) and \(V_2\) are the fluid velocities at those points.

2. **Identifying the Conservation Principle**:
The equation of continuity is derived from the principle of conservation of mass. This means that the mass of fluid entering a section of the pipe must equal the mass of fluid leaving that section, assuming there is no accumulation of mass within the section.

3. **Evaluating the Options**:
- **Charge**: The equation of continuity does not relate to the conservation of charge.
- **Mass**: This is the correct option, as the equation is based on the conservation of mass.
- **Energy**: The equation of continuity does not directly relate to energy conservation.
- **Temperature**: The equation does not involve temperature conservation.

4. **Conclusion**:
Based on the analysis, the equation of continuity is a consequence of the conservation of mass. Therefore, the correct answer is:
\[ \text{The equation of continuity is a consequence of conservation of mass.} \]

### Final Answer:
The equation of continuity is a consequence of conservation of **mass**.