A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density = 1.3 g/cm 3 ) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm/cm 3 is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, Density of mercury = 13.6 g/cm 3
Text Solution
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At the condition of equilibrium
Pressure at point A = Pressure at point B
$P_{A} = P_{B}$ ⇒ ⇒ $10 \times 1.3 \times g = h \times 0.8 \times g + (10 - h) \times 13.6 \times g$
By solving we get h = 9.7 cm
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