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If the weight of the floating body is eq...

If the weight of the floating body is equal to the buoyant force then body:

A

sinks

B

rises

C

floats

D

first floats and then sinks

Text Solution

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The correct Answer is:
To solve the question, "If the weight of the floating body is equal to the buoyant force, then the body:", we can follow these steps: ### Step-by-Step Solution 1. **Understand the Concepts**: - The buoyant force is the upward force exerted by a fluid on a submerged or floating object. According to Archimedes' principle, the buoyant force acting on a body is equal to the weight of the fluid displaced by the body. 2. **Identify the Condition**: - The question states that the weight of the floating body is equal to the buoyant force. This is a key condition to analyze. 3. **Apply Archimedes' Principle**: - When a body is floating, it displaces a volume of fluid equal to its own weight. Therefore, if the weight of the body equals the buoyant force, it indicates that the body is in equilibrium. 4. **Determine the State of the Body**: - Since the weight of the body is equal to the buoyant force, it means that the forces acting on the body are balanced. Hence, the body will neither sink nor rise but will remain floating at that level in the fluid. 5. **Conclusion**: - Therefore, if the weight of the floating body is equal to the buoyant force, the body **floats**. ### Final Answer The body **floats**. ---

To solve the question, "If the weight of the floating body is equal to the buoyant force, then the body:", we can follow these steps: ### Step-by-Step Solution 1. **Understand the Concepts**: - The buoyant force is the upward force exerted by a fluid on a submerged or floating object. According to Archimedes' principle, the buoyant force acting on a body is equal to the weight of the fluid displaced by the body. 2. **Identify the Condition**: ...
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