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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 specific gravity of oil be 0.8, the oil level will stand higher than the water level by:

A
6.25 cm
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B
12.50 cm
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C
31.25 cm
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D
62.50 cm
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Solution

The correct option is C 6.25 cm
Let's assume that the oil is y cm above the water level. If ρo be the density of oil and ρw be the density of water.

By using Pascal's law:
(Pressure at the same level of both the arms of the U-tube will be same)
yρog +25ρwg= 50ρwg
25 ρwg= y ρog
y=31.25 cm

Hence the oil will stand 31.2525=6.25 cm above water level.

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