STATEMENT - 1 When a body is inside a static liquid it experience is up by buoyancy force because
STATEMENT - 2 : Pressure varies with depth in a static liquid .

Options

A. Statement - 1 is True , Statement - 2 is True , Statement - 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 question, we need to analyze the two statements provided:

**Statement 1:** When a body is inside a static liquid, it experiences an upward buoyancy force because...

**Statement 2:** Pressure varies with depth in a static liquid.

### Step-by-Step Solution:

1. **Understanding Buoyancy Force:**
- When an object is submerged in a fluid, it experiences a buoyant force. This force acts upward and is due to the pressure difference between the top and bottom of the object.

2. **Pressure Variation with Depth:**
- In a static liquid, the pressure increases with depth. The pressure at a depth \( h \) in a liquid is given by the formula:
\[ P = \rho g h \]
where \( \rho \) is the density of the liquid, \( g \) is the acceleration due to gravity, and \( h \) is the depth.

3. **Analyzing Forces on the Object:**
- Consider a cylindrical object submerged in a liquid. The pressure at the bottom of the object (at depth \( H_2 \)) is greater than the pressure at the top of the object (at depth \( H_1 \)) because \( H_2 > H_1 \).
- The force exerted by the liquid on the bottom surface of the object is greater than the force exerted on the top surface due to the greater pressure at the bottom.

4. **Calculating the Buoyant Force:**
- The buoyant force \( F_b \) can be expressed as:
\[ F_b = P_{\text{bottom}} \cdot A - P_{\text{top}} \cdot A \]
where \( A \) is the area of the top and bottom surfaces of the object.
- Substituting the pressures:
\[ F_b = (\rho g H_2) A - (\rho g H_1) A = \rho g A (H_2 - H_1) \]
- Since \( H_2 > H_1 \), \( F_b \) is positive, indicating an upward force.

5. **Conclusion:**
- Therefore, the buoyant force arises because the pressure increases with depth in the liquid, leading to a greater force acting on the bottom of the object compared to the top.
- Thus, both statements are true, and Statement 2 explains Statement 1.

### Final Answer:
- **Statement 1 is true.**
- **Statement 2 is true.**
- **Statement 2 is the correct explanation for Statement 1.**