Questions
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
detailed solution
Correct option is A
Considering vertical equilibrium of cylinder, we get Weight of cylinder = Upthrust due to upper liquid + Upthrust due to lower liquid ⇒A5(L)Dg=A53L4(d)g+A5L4(2d)(g)⇒D=34d+14(2d)⇒D=54dTalk to our academic expert!
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In the Figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 2 and 3. The height h for the equilibrium of cylinder must be
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