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Question

A rectangular block is 10cm×10cm×15cm in size is floating in water with 10cm side vertical. If floats with 15cm side vertical, then the level of water will

A
Rise
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B
Fall
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C
Remain same
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D
Change according to density of block
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Solution

The correct option is C. Remain same

For floating of a block, the buyout force balances its weight,

Fb=mg

Vfρfg=Vbρbg..................(i)

where, Vf = volume of fluid displaced

Vb = Volume of block

Vb=1500 cm3 remain the same always, no matter which side is in the vertical position while floating.

Hence, from Eq.(i) Vf = constant

∴ The 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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