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Q.

 A body floats in a liquid-filled beaker. If the entire system, as depicted in the figure, falls freely under gravity, the upthrust on the body caused by the liquid is:

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a

Equal to the weight of the displaced liquid

b

Equal to the weight of the body in the air

c

Zero

d

None of the above

answer is C.

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Detailed Solution

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When a body enters water, it is subject to two forces: gravity, which is an unseen force that draws body together, and buoyancy, which is an upthrust imposed by a fluid that resists the weight of a partially or entirely immersed body.

 If the beaker is allowed to fall naturally, the visual weight of the body becomes zero, meaning that the body has no influence on the water. As a result, no water is displaced due to the weight of the body. As a result, the buoyant force, or upthrust, is zero. As a result, this choice is correct.

Only when the whole upward force (buoyant force) equals the total downward force in a floating vessel is the weight of the body equal to the weight of the liquid displaced. The body will be in balance and will float in water in this circumstance. However, in this case, the item stays floating in water. As a result, this choice is wrong.

In the air, weight is proportional to the product of mass and gravity acceleration. When a body is submerged in water, however, it experiences an upthrust force that opposes the weight force. As a result, the body's weight in air is greater than the body's weight in water. As a result, this choice is invalid since the weights cannot be equal.

The weight of the submerged body equals the weight of the displaced liquid. It is the same whether you are somewhat or completely immersed. When the item is floating, this condition holds true. In this scenario, though, the item stays suspended. As a result, this choice is wrong.

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