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Three immiscible and non-reacting liquids of densities P, 2P and P/2 are in a U-tube as shown in the figure. Free surfaces of liquids in the two arms of the U-tube are in the same horizontal level. Then the length ‘x’ of the liquid column of density P2 is [l = 27 cm]

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a

6 cm

b

12 cm

c

18 cm

d

9 cm

answer is C.

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Detailed Solution

Equating pressures at points A and B, we can write ρ.g.l=ρ2.g.x+2ρ.g.l−x⇒l=x2+2l−2x⇒x=2l3=2×273cm=18 cm

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Three immiscible and non-reacting liquids of densities P, 2P and P/2 are in a U-tube as shown in the figure. Free surfaces of liquids in the two arms of the U-tube are in the same horizontal level. Then the length ‘x’ of the liquid column of density P2 is [l = 27 cm]