A U-tube contains water and oil separated by mercury. The mercury columns in the two arms are at the same level with 10cm of water in one arm and 12.5cm 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 A0.8 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+ρoilg×hoil ⇒ρw×hwater=ρoil×hoil ⇒ρoilρw=hwaterhoil=1012.5=100125=0.8