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A body measures 5 N in air and 2 N when ...

A body measures 5 N in air and 2 N when put in water. The buoyant force is

A

7 N

B

9 N

C

3 N

D

None of these

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The correct Answer is:
To find the buoyant force acting on the body when it is submerged in water, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Weight of the Body in Air:** The weight of the body in air is given as 5 N. This weight can be represented as: \[ W = Mg = 5 \, \text{N} \] where \( M \) is the mass of the body and \( g \) is the acceleration due to gravity. 2. **Identify the Apparent Weight of the Body in Water:** When the body is submerged in water, its apparent weight is given as 2 N. This apparent weight can be expressed as: \[ W' = Mg - F_b = 2 \, \text{N} \] where \( F_b \) is the buoyant force acting on the body. 3. **Set Up the Equation:** From the above two equations, we can set up the following equation: \[ 5 \, \text{N} - F_b = 2 \, \text{N} \] 4. **Solve for the Buoyant Force:** Rearranging the equation to solve for \( F_b \): \[ F_b = 5 \, \text{N} - 2 \, \text{N} \] \[ F_b = 3 \, \text{N} \] 5. **Conclusion:** The buoyant force acting on the body when it is submerged in water is: \[ F_b = 3 \, \text{N} \] ### Final Answer: The buoyant force is **3 N**.

To find the buoyant force acting on the body when it is submerged in water, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Weight of the Body in Air:** The weight of the body in air is given as 5 N. This weight can be represented as: \[ W = Mg = 5 \, \text{N} ...
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