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A body of wood has a weight W and volume...

A body of wood has a weight W and volume V. The apparent weight of this body after making it float on water will be

A

`(W)/(V)`

B

`W xx V`

C

W

D

Zero

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AI Generated Solution

The correct Answer is:
To find the apparent weight of a wooden body floating on water, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Weight and Apparent Weight**: - The weight of the wooden body is given as \( W \). - When the body is floating, it experiences buoyant force equal to the weight of the water displaced by the body. 2. **Identify the Condition of Floating**: - A body floats when the buoyant force acting on it is equal to its weight. This means that the weight of the water displaced is equal to the weight of the wooden body. 3. **Determine the Apparent Weight**: - The apparent weight of an object is the weight that it seems to have when submerged or floating in a fluid. - For a floating object, the apparent weight is calculated as: \[ \text{Apparent Weight} = \text{Weight of the body} - \text{Buoyant Force} \] - Since the buoyant force equals the weight of the wooden body when it is floating, we can express this as: \[ \text{Apparent Weight} = W - W = 0 \] 4. **Conclusion**: - Therefore, the apparent weight of the body after making it float on water is \( 0 \). ### Final Answer: The apparent weight of the wooden body floating on water is \( 0 \). ---
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