In a remote location near the north pole, an iceberg floats in a lake. next to the lake (assume it is not frozen) sits a comparably sized glacier sitting on land. if both chunks of ice should melt due to rising global temperatures (and the melted ice all goes into the lake), which ice chunk would give the greatest increase in the level of the lake water, if any?

As explained below.

Explanation:

According to the question when the ice in north pole from an iceberg floats away into a lake then the other comparatively large-sized glacier also melts away that is located on land the most of the loss of ice will be from the glacier of land due to the rising global temperatures. Thus the ice chunk that was already floating in water will not rise the temperatures in the global waters and thus greatest increase forms the broken off ice chunk as it contains more double the volume of freshwater that the ice that is already in the water. As it continues to absorb more heat. Thus breaks off easily and has a large potential top cause flood waves.

Probably north korea if your family has decided to use only nuclear power.