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An object is put turn in three liquids h...

An object is put turn in three liquids having different densities. The object floats with `(1)/(9)`, `(2)/(11)` and `(3)/(7)` parts of its volume outside the liquid surfacei n liquids of densities `d_1`,`d_2` and `d_3` respectively. Which of the following statements is correct?

A

`d_1gtd_2gtd_3`

B

`d_1gtd_2ltd_3`

C

`d_1ltd_2gtd_3`

D

`d_1ltd_2ltd_3`

Text Solution

Verified by Experts

The correct Answer is:
D
To float more volume of an object sinks (and lesser volume remains outside) in a liquid of lesser density so as to displace liquid whose weight equals its own weight.
Since `(1)/(9)lt(2)/(11)lt(3)/(11)`(as`(1)/(9)=0.11`,`(2)/(11)=0.18` and `(3)/(7)=0.43`), `d_1ltd_2ltd_3`.
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Knowledge Check

  • An object is put one by one in three liquids having different densities. The object floats with (1)/(9),(2)/(12) and (3)/(7) parts of their volumes outside the liquid surface in liquids of densities d_(1),d_(2) and d_(3) , respectively. Which of the following statement is correct ?

    A
    `d_(1)gtd_(2)gtd_(3)`
    B
    `d_(1)gtd_(2)ltd_(3)`
    C
    `d_(1)ltd_(2)gtd_(3)`
    D
    `d_(1)ltd_(2)ltd_(3)`

  • An object is put on by one in three liquids having different densities. The object floats with 1/9, 2/11 and 3/7 parts of their volumes outsides the liquid surface in liquids of densities d1, d2 and d3 respectively. Which of the following statements is correct?

    A
    `d1 gt d2 gt d3`
    B
    `d1 gt d2 lt d3`
    C
    `d1 lt d2 gt d3`
    D
    `d1 lt d2 lt d3`

  • An object is put in turn, in three liquids having different densities . The object floats with 3//5, 2//9 and 8//11 parts of its volume inside the liquid surface in liquids of densities rho_(1), rho_(2) and rho_(3) respectively . Which of the following is correct ?

    A
    `rho_(1)gtrho_(2)gtrho_(3)`
    B
    `rho_(3)ltrho_(1)ltrho_(2)`
    C
    `rho_(3)gtrho_(1)gtrho_(2)`
    D
    `rho_(1)ltrho_(3)ltrho_(2)`

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