A homogeneous solid cylinder of length L (L < H2). Crosssectional area A5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L4 in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by
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a
54d
b
45d
c
Ad
d
d5
answer is A.
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Detailed Solution
Weight of cylinder = upthrust due to both liquidsV×D×g = (A5.34L)×d×g+(A5.L4)×2d×g⇒(A 5.L)D.g= ALdg4 ⇒D5 = d4 ∴D = 54d
A homogeneous solid cylinder of length L (L < H2). Crosssectional area A5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L4 in the denser liquid as shown in the fig. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by