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Q.

An open-ended U-tube of uniform cross-sectional area contains water (density = 10 kg m-3). Initially the water level stands at 0.29 m from the bottom in each arm. Kerosene oil (a water – immiscible liquid) of density 800 kg m-3 is added to the left arm until its length is 0.1 m, as shown in schematic figure below. The ratio h1/h2 of the heights of the liquid in the two arms is

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a

76

b

154

c

54

d

3533

answer is B.

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Detailed Solution

Let water level falls by x meter due to kerosene oil. Equating pressure on both sides of the tube,

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P0+800×g×0.1=P0+1000×g×2x

x=8002000=0.04 m

h1=0.29+0.1-0.04=0.35m and h2=0.29+0.04=0.33 m

h1h2=0.350.33=3533

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