A U tube in which both ends are open to the atmosphere is partly filled with water. Oil, which does not mix with water, is poured into one side until it stands a distance d = 15.0mm above the water level on the other side which has meanwhile risen a distance 67.5 from its original level. The density of the oil is: 
Text Solution
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In equilibrium pressure at A & A' are equal as both are at same horizontal level in the same liquid. As
water has risen by 'a' in right column, it has descended by a in left column.
Thus water level is 2a from A' and length of oil column is 2a + d. Equating pressures at A & A'.
P 0 + ρ ρ w g2a = P 0 + ρ ρ 0 g (2a + d)
ρ ρ oil = ρ ρ w 
= 1000. 
=1000. 
= 900 kg/m 3
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