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A uniform solid cube is floating in ...

A uniform solid cube is floating in a liquid as shown in the figure with part x inside the liquid . Some changes in the parameters are mentioned in column - I , Assuming no other changes , match the following .

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` (A) to (p), (C ) to (r ) , (D ) to (q)`
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A cube is floating in liquid as shown in figure. Match the following columns.

A uniform cube of mass M is floating on the surface of a liquid with three fourth of its volume immersed in the liquid (density of liquid is rho ). Now a cubical cavity is made inside the cube and the cavity is filled by a material having twice the density of the original cube. The minimum dimension (sides) of this cavity such that this cube is now completely immersed in the liquid is [(4M)/(nrho)]^(1/3) . Find the value of n

Knowledge Check

  • Two objects similar in all respects are floating in two liquids A and B as shown in the figure. If d_A is the density of liquid A, d_B is the density of liquid B, and d_0 is the density of the object, which among the following is the correct relation between the densities of the objects and the liquid?

    A
    ` d_A gt d_B gt d_O`
    B
    ` d_O gt d_B gt d_A`
    C
    `d_B gt d_A gt d_O`
    D
    ` d_A gt d_O gt d_B `

  • Two objects similar in all respects are floating in two liquids 'A' and 'B' as shown in the figure. If d_A is the density of liquid A, dg is the density of liquid B, and d_B is the density of the object, which among the following is the correct relation between the densities of the objects and the liquid?

    A
    ` d_A gt d_B gt d_O`
    B
    ` d_O gt d_B gt d_A`
    C
    ` d_B gt d_A gt d_O`
    D
    ` d_A gt d_O gt d_B `

  • A U-tube of uniform cross-section shown in figure is partially filled with liquid Igt Another liquid II which does not mix with I is poured into one side. The liquid levels of the two sides is found the same, while the level of liquid I has risen by 2 cm. If the specific gravity of liquid I is 1.1, then specific gravity of liquid II must be

    A
    1.2
    B
    1.1
    C
    1.3
    D
    `1.0`

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