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A jar filled with two non-mixing liquid ...


A jar filled with two non-mixing liquid 1 and 2 having densities `rho_(1)` and `rho_(2)` respectively. A solid ball, made of a material of density `rho_(3)` is dropped in the jar. It come to equilibrium in the position shown in the figure. Which of the following is true for `rho_(1),rho_(2)` and `rho_(3)`?

A

`rho_(1) gt rho_(2) gt rho_(3)`

B

`rho_(1) lt rho_(3) lt rho_(2)`

C

`rho_(1) lt rho_(3) lt rho_(2)`

D

`rho_(3) lt rho_(1) lt rho_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since solid ball floats in between the two liquid hanve `rho_(1) lt rho_(3) lt rho_(2)`
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Knowledge Check

  • A jar is filled with two non-mixing liquids 1 and 2 having densities rho_1 and rho_2 respectively. A solid ball, made of a material of density rho_3 , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for rho_1,rho_2 and rho_3 ?

    A
    `rho_1 lt rho_3 lt rho_2`
    B
    `rho_3 lt rho_1 lt rho_2`
    C
    `rho_1 gt rho_3 gt rho_2`
    D
    `rho_1 lt rho_2 lt rho_3`

  • A jar is filled with two non-mixing liquids 1 and 2 haivng densities rho_1 and rho_2 respectively. A solid ball, made of a material of density rho_3 , is dropped in the jar. It comes to equilibrium in the position shown in the figure. Which of the following is true for rho_1 , rho_1 and rho_3 ?

    A
    (a) `rho_3ltrho_1ltrho_2`
    B
    (b) `rho_1gtrho_3gtrho_2`
    C
    (c) `rho_1ltrho_2ltrho_3`
    D
    (d) `rho_1ltrho_3ltrho_2`

  • If two liquids of same masses but densities rho_(1) and rho_(2) respectively are mixed, then the density of mixture is given by

    A
    `rho = ( rho_(1) + rho_(2))/( 2)`
    B
    ` rho =( rho_(1) + rho_(2))/( 2 rho_(1) rho_(2))`
    C
    ` rho = (2 rho _(1) rho_(2))/( rho_(1) + rho_(2))`
    D
    ` rho = (rho_(1) rho_(2))/(rho_(1) + rho_(2))`

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