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Two objects similar in all respects are ...

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 `

Text Solution

Verified by Experts

The correct Answer is:
A
When the object is in liquid A, the portion of the object above the liquid surface is more compared to that when it is in liquid B, so, the density of the liquid A is greater than that of the liquid B, which is greater than the density of the object.
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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
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    D
    ` d_A gt d_O gt d_B `

  • Similar objects are dropped into two different liquids A and B. The displacement of the objects in A and B in 5 s is S_1 and S_2 respectively. If density of the liquid A is greater than the density of the liquid B, which among the following relation is correct?

    A
    `S_1=S_2`
    B
    `S_1gtS_2`
    C
    `S_1ltS_2`
    D
    Cannot be determined

  • An object weights m_(1) in a liquid of density d_(1) and that in liquid of density d_(2) is m_(2) . The density of the object is

    A
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    B
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    C
    `(m_(2)d_(1)-m_(1)d_(2))/(m_(1)-m_(2))`
    D
    `(m_(1)d_(2)-m_(2)d_(1))/(m_(1)-m_(2))`

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