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Question

Two pieces of metal when immersed in a liquid have equal upthrust on them. Select the correct statement regarding the physical property of the metals given that both of them completely sink in the liquid.

A
Both pieces must have equal weights
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B
Both pieces must have equal densitites
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C
Both pieces must have equal volumes
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D
Both are floating to the same depth
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Solution

The correct option is C Both pieces must have equal volumes
In order to have the same upthrust both the bodies must have the same volume. They may not have the same densities or masses but must displace the same volume of water which means must occupy the exact volume.

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