A beaker is filled with water up to its brim. A child while playing drops an object of mass 5 kg in to it and measured the weight of water falling. He found the weight of water fallen to be 20N, then choose the correct statement.

The buoyant force exerted by water is equal to 50 N

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The buoyant force exerted by water is equal to 20 N

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The density of both the objects are equal

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All of these

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Solution

The correct option is B
The buoyant force exerted by water is equal to 20 N

According to Archimedes Principle, when a body is partially or totally immersed in a liquid, it experiences a buoyant force which is equal to the weight of the liquid displaced. So, when the block is immersed it would experience a buoyant force, which would be equal to the weight of liquid displaced. Here, the weight of the displaced liquid is given 20N. So, buoyant force is equal to 20N.

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