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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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