Statement-1 : Two bodies of different masses and shapes may experience same thrust in a given liquid.
And
Statement-2 : The buoyancy is independent of factors of the body such as its mass and shape.

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 analyze the given statements, let's break down the concepts of thrust and buoyancy step by step.

### Step 1: Understanding Thrust in a Fluid
Thrust in a fluid context refers to the upward force exerted on a submerged object due to the fluid. This force is known as the buoyant force.

### Step 2: Buoyant Force Formula
The buoyant force (thrust) can be calculated using the formula:
\[ F_b = \rho \cdot V \cdot g \]
where:
- \( F_b \) is the buoyant force,
- \( \rho \) is the density of the fluid,
- \( V \) is the volume of the fluid displaced (which is equal to the volume of the submerged part of the body),
- \( g \) is the acceleration due to gravity.

### Step 3: Analyzing Statement 1
Statement 1 claims that two bodies of different masses and shapes may experience the same thrust in a given liquid.

- Since the buoyant force depends only on the volume of the fluid displaced (which is determined by the shape and size of the submerged part of the body), two bodies can indeed experience the same buoyant force if they displace the same volume of fluid.
- Therefore, Statement 1 is **True**.

### Step 4: Analyzing Statement 2
Statement 2 states that buoyancy is independent of factors such as mass and shape of the body.

- The buoyant force does not depend on the mass or shape of the object but rather on the volume of fluid displaced. Thus, regardless of the mass or shape of the object, as long as the volume submerged is the same, the buoyant force will be the same.
- Therefore, Statement 2 is also **True**.

### Step 5: Conclusion
Since both statements are true and Statement 2 correctly explains Statement 1, we conclude that the answer is:
**Both statements are true, and Statement 2 explains Statement 1.**

### Final Answer
**A: Both statements are true.**

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