First slide

Fluid statics

Question

A U-tube is partially filled with water. Oil, which does not mix with water, is next poured into one side until water rises by 25 cm on the other side. If the density of oil be 0.8, the oil level will stand higher than the water level by:

Easy

A

6.25 cm
B

12.50 cm
C

31.25 cm
D

20 cm

Solution

$P_{A} = P_{B} h \times ρ_{oil} \times g = 50 \times ρ_{water} \times g$

$h = \frac{50 \times 1}{0.8} = 62.5 cm Level difference = 62.5 - 50 = 12.5 cm .$

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