Displacement question.

[pfaction]

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If I had a 10L beaker of water and immersed a 1L beaker of water filled with 0.5L of water into it just to the beaker's surface, versus another container and 1L beaker filled liquid with twice the density of water, would the water rise twice as high in the 10L of beaker compared to the water one?

 

[maybemed2013]

Your question is unclear to me, maybe if you redo the wording I can understand.
To be it seems like you are looking for the amount of water that would be displaced, which is equal to the volume submerged, I believe.
Since in both cases you are submerging 1L the displacement in both cases should be the same.

 

[Cptn Loko]

As maybemed2013 says, if the 1L beakers are both submerged to the surface of the 10L container, then the volume of the water raised would be 1 L in both cases.

That is, volume submerged = volume water rises.

The density of the liquids would have no impact on how much the water rises. An increase of the density of the liquid in the 10L beaker would, however, increase the bouyant force.