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Question

A U-tube contains water and oil separated by mercury. The mercury columns in the two arms are at the same level with 10 cm of water in one arm and 12.5 cm of oil in the other, as shown in figure. What is the relative density of oil?


A
0.8
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B
1.0
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C
1.25
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D
None of these
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Solution

The correct option is A 0.8
As we know,
Relative density of oil =ρoilρw
where, ρoil= Density of oil
ρw= Density of water


Since, A & B are at same level
So, PA=PB
P0+ρwg×hwater=P0+ρoil g×hoil
ρw×hwater=ρoil×hoil
ρoilρw=hwaterhoil=1012.5=100125=0.8

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