Fluid MechanicsMedium
Question
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 = 131.25.6 g/cc , ρCu = 7.3 g/cc, ρwater =1 gm/cc)
(ρHg = 131.25.6 g/cc , ρCu = 7.3 g/cc, ρwater =1 gm/cc)
Options
A.1.25 cm
B.2.5 cm
C.5 cm
D.7.5 cm
Solution
Let h = height to of water column
then ρwgh + ρHg g(10 − h) = ρCu g10
⇒ h + 13.6 (10 − h) = 73
⇒ 63 = 12.6 h ⇒ h = 5 cm
then ρwgh + ρHg g(10 − h) = ρCu g10
⇒ h + 13.6 (10 − h) = 73
⇒ 63 = 12.6 h ⇒ h = 5 cm
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