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two objects, t and b, have identical size and shape and have uniform density. they are carefully placed in a container filled with a liquid. both objects float in equilibrium. less of object t is submerged than of object b. which of the following statements is true

Sagot :

The correct statement about the given two object when placed in a container is b)Object B has a greater density than object T. So, correct option is b.

At the point when an item stay balance while lowered, its gravity should be equivalent to the lightness force, which is equivalent to the fluid weight dislodged by the lowered volume:

[tex]V_s[/tex]ρ[tex]_l[/tex]g=mg=Vρ₀g

=>[tex]V_s[/tex]ρ[tex]_l[/tex]=Vρ₀

=>ρ₀=([tex]V_s[/tex]ρ[tex]_l[/tex])/V

where ρ₀,ρ[tex]_l[/tex]  are densities of the object and liquid, separately. are the volume lowered and the item volume, separately.

In the event that object B is completely lowered, the thickness of article B is equivalent to the fluid thickness (on the grounds that ).

With respect to protest T as it's just to some extent lowered, the mass of the fluid dislodged is same as mass of article. And keeping in mind that the volume uprooted is just a piece of the entire item volume (), this implies that the fluid thickness is more noteworthy than object T's thickness.

Hence, correct option is b.

To know more about density, visit here:

https://brainly.com/question/15164682

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(Complete question) is:

Two objects, T and B, have identical size and shape and have uniform density. They are carefully placed in a container filled with a liquid. Both objects float in equilibrium. Less of object T is submerged than of object B, which floats, fully submerged, closer to the bottom of the container. Which of the following statements is true?

a. Object T has a greater density than object B.

b. Object B has a greater density than object T.

c. Both objects have the same density

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