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Q.

A cubical block of copper of side 10 cm is floating in a vessel containing mercury. Water is poured into the vessel so that the copper block just gets submerged. The height of water column is(ρHg = 13.6 g/cc, ρCu = 7.3g/cc, ρwater = 1 gm/cc)

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a

1.25 cm

b

2.5 cm

c

5 cm

d

7.5 cm

answer is C.

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Detailed Solution

Let h = height of water columnthen ρwgh+ρHgg(10-h) = ρCug10⇒ h + 13.6(10-h) = 73⇒ 63 = 12.6h ⇒ h = 5 cm

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A cubical block of copper of side 10 cm is floating in a vessel containing mercury. Water is poured into the vessel so that the copper block just gets submerged. The height of water column is(ρHg = 13.6 g/cc, ρCu = 7.3g/cc, ρwater = 1 gm/cc)