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Q.

A wooden cube floating in water supports a mass m=0.2kg at its top. When the mass is removed the cube rises by 2cm. the side of cube is ___ cm.
(density of water 1000kg/m3  )
 

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answer is 10.

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Detailed Solution

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Decrease in weight = decrease in upthrust
or    mg=Vρwg        
or    m=Vρw        
or  (0.2)=(2×102)(A)(103)(A=area  of  base)           
or   A=102m2=100cm2         
  Side of the cube is 10cm .
 

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