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Question

A rectangular block with dimensions 10 cm×10 cm×15 cm is floating in a water container with its 10 cm side in vertical position. If it floats with its 15 cm side in vertical position, then the level of water in the container will

A
rise
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B
fall
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C
remain constant
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D
changes according to the density of block
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Solution

The correct option is C remain constant
For floating of block,
Fb=mg
Vfρfg=Vbρbg ...(i)
where, Vf volume of fluid displaced
VbVolume of block
Vb=1500 cm3 remains same always, no matter which side is in vertical position while floating.
Hence, from Eq.(i), Vf=constant.
Level of water will remain constant in the container as the volume of liquid displaced will be equal in both cases.

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