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Question

A Utube is partially filled with water and 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 is 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
31.75 cm
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D
62.50 cm
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Solution

The correct option is B 12.50 cm
At Level A
On I tube
PAI=wghw+ogho hw=0,ho=h

=o=0.8wgh

On tube II tube
PAII=wghw+ogho hw=50,ho=0
=wg(50)
PA2=PAII

0.8wgh=wg(50)

h=500.8=5008=62.5

Difference between oil and water level
=h50
=62.550
=12.5

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