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Question

Consider the following statements.
When an object floats inside a liquid, then _______.
1. The apparent weight of the object is equal to the liquid displaced by the object.
2. The centre of gravity (CG) of the object and the centre of gravity (CG) of the displaced water lie in the same vertical line.
Which of the above statement(s) given above is/are correct?

A
Only 1
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B
Only 2
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C
Both 1 and 2
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D
Neither 1 nor 2
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Solution

The correct option is C Both 1 and 2
1. As the body is under translation equilibrium, the weight of displaced liquid would be equal to that of the body.
2. As body is under rotation equilibrium, the CG of object and CG of the displaced liquid should be on the same vertical line, otherwise the body will topple.

So both the statements are correct.

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