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ISRO2009-7

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A metallic cube of side $10 \;\text{cm}$, density $6.8 \: gm/cc$ is floating in liquid mercury (density $13.6 \: \text{gm/cc}$), with $5 \;\text{cm}$ height of cube exposed above the mercury level. Water (density $1 \: \text{gm/cc}$) is filled over this, to submerge the cube fully. The new height of cube exposed above mercury level is

  1. $4.6 \;\text{cm}$
  2. $5.4 \;\text{cm}$
  3. $5.0 \;\text{cm}$
  4. $5.8 \;\text{cm}$
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