Three liquids of densities and heights as shown are in equilibrium in a U-tube. Match the columns.
Column-I | Column-II |
(P) | (1) |
(Q) | (2) |
(R) | (3) |
(S) | (4) None of the above |
At the bottom surface of liquid of density is
So, required height of column of density
Thus, required height of column of density
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A homogeneous solid cylinder of length , cross-sectional area is immersed such that it floats with its axis vertical at the liquid interface with length in the denser liquid as shown in Figure. The lower density liquid is open to atmosphere having pressure P0. Then, density D of solid is given by
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