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Q.

A U-tube is held in a vertical plane such that its two limbs are vertical with middle portion horizontal as shown in the figure. Three liquids A,B and C are poured into it and in steady state their interfaces are as shown in the figure which of the following statements are correct
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a

Density of liquid B is maximum among these three liquids

b

Pressure at R is greater than that at S

c

Height of column of liquid  C is greater than that of liquid  A

d

Density of liquid C is less than that of liquid A

answer is C.

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Detailed Solution

The liquid with maximum density will be at the bottom i.e., the liquid B has the maximum density among these three liquids. And we can see that even though the height of the liquid column C is little less than liquid column A, but it is able to push the liquid B more downward. Hence, we can conclude that the density of liquid A is less than that of C.

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