STATEMENT -1 When a container containing a liquid accelerated horizontally buyancy force is not vertical
because
STATEMENT - 2 : Pressure also varies horizontally when container is accelerated horizontally .

Options

A. Statemnet - 1 is True , Statement - 2 is True , Statmement - 2 is a correct explanation for statement - 1
B. Statement - 1 is True , Statement - 2 is True , Statement - 2 is Not a correct explanation for Statement - 1
C. Statement -1 is True , Statement - 2 is False
D. Statement - 1 is False , Statement - 2 is True

Answer

To solve the problem, we need to analyze the statements given and understand the relationship between the buoyancy force and pressure in a fluid when the container is accelerated horizontally.

### Step-by-Step Solution:

1. **Understanding Buoyancy Force**:
- Buoyancy force is the upward force exerted by a fluid on an object submerged in it. Under normal conditions (when the container is at rest), this force acts vertically upward.

2. **Effect of Horizontal Acceleration**:
- When the container is accelerated horizontally, the liquid inside the container will respond to this acceleration. The surface of the liquid will no longer remain horizontal but will tilt at an angle (let's denote this angle as θ).

3. **Inclined Liquid Surface**:
- The angle θ can be determined using the relationship:
\[ \tan(\theta) = \frac{a}{g} \]
where \(a\) is the horizontal acceleration of the container and \(g\) is the acceleration due to gravity.

4. **Pressure Variation**:
- In a fluid at rest, pressure increases with depth. However, when the container is accelerated, the pressure also varies horizontally due to the change in height of the liquid column at different points along the inclined surface.
- The pressure at a depth \(h\) is given by:
\[ P = \rho g h \]
where \(\rho\) is the density of the liquid. As the surface of the liquid is tilted, the height \(h\) varies from one end of the container to the other.

5. **Resultant Buoyant Force**:
- The buoyancy force is determined by the pressure difference acting on the submerged part of the object. Since the pressure varies horizontally due to the tilt of the liquid surface, the resultant buoyancy force will not act vertically upward but will be directed perpendicular to the inclined surface of the liquid.

6. **Conclusion**:
- Therefore, when the container is accelerated horizontally, the buoyancy force is not vertical because the pressure varies horizontally. Thus, both statements are true, and statement 2 correctly explains statement 1.

### Final Answer:
- Statement 1 is true, statement 2 is true, and statement 2 is the correct explanation of statement 1.

---