Two objects losing the same weight when immersed in water must have the same

Options

A. weight in water
B. volume
C. weight in air
D. density

Answer

To solve the question, "Two objects losing the same weight when immersed in water must have the same...", we can follow these steps:

### Step 1: Understand the Principle of Buoyancy
When an object is immersed in water, it experiences an upward force known as buoyancy. This force is equal to the weight of the water displaced by the object. According to Archimedes' principle, the weight loss of the object in water is equal to the weight of the water displaced.

**Hint:** Remember that the buoyant force is related to the volume of water displaced.

### Step 2: Relate Weight Loss to Volume Displacement
If two objects lose the same weight when immersed in water, it means that the buoyant force acting on both objects is the same. Since the buoyant force is equal to the weight of the water displaced, both objects must displace the same volume of water.

**Hint:** Think about how the volume of an object affects the amount of water it displaces.

### Step 3: Conclusion
Since both objects are losing the same weight when immersed in water, we can conclude that they must have the same volume. This is because the weight loss (buoyant force) is directly related to the volume of the liquid displaced.

**Final Answer:** Therefore, two objects losing the same weight when immersed in water must have the same volume.

---