Bernoulli's theorem is a cosequence of

Options

A. conservation of mass
B. conservation of energy
C. conservation of linear momentum
D. conservation of angular momentum

Explanation

**Step-by-Step Solution:**

1. **Understanding Bernoulli's Theorem**: Bernoulli's theorem states that for an incompressible, non-viscous fluid flowing in a streamline, the total mechanical energy along a streamline is constant. This total energy consists of kinetic energy, potential energy, and pressure energy.

2. **Components of Bernoulli's Equation**: The equation can be represented as:
\[ P + \frac{1}{2} \rho v^2 + \rho g h = \text{constant} \]
where:
- \( P \) is the pressure energy per unit volume,
- \( \frac{1}{2} \rho v^2 \) is the kinetic energy per unit volume,
- \( \rho g h \) is the potential energy per unit volume,
- \( \rho \) is the density of the fluid,
- \( v \) is the velocity of the fluid,
- \( g \) is the acceleration due to gravity,
- \( h \) is the height above a reference level.

3. **Conservation of Energy Principle**: Bernoulli's theorem is a consequence of the principle of conservation of energy. It implies that the sum of the kinetic energy, potential energy, and pressure energy remains constant in a flowing fluid, assuming no energy is added or lost due to friction or other dissipative forces.

4. **Conclusion**: Therefore, Bernoulli's theorem is fundamentally based on the conservation of energy principle applied to fluid dynamics.

**Final Answer**: Bernoulli's theorem is a consequence of the conservation of energy.

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