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Question

In a U tube experiment, a column AB of water is balanced by a column CD of paraffin. The relative density of paraffin is


A
h2h1
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B
h1h2
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C
h2h1h1
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D
h2h1+h2
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Solution

The correct option is A h2h1
Pressure difference due to the same height of the same liquid will always be same.
Hence, in the two arms of the Utube, pressure will be the same at surface D & B, as shown in figure.
pD=pB
Also, surface C and A are open to the atmosphere. Hence, both will have the same pressure (p0)

From, pD=pB
p0+ρ1gh1=p0+ρwgh2
Here, ρ1= density of paraffin
ρw= density of water
ρ1ρw=h2h1
where ρ1ρw= relative density of paraffin

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