Final answer:
The concept in question is related to Physics, specifically density and buoyancy. The 200 tons of gold in the container has a greater apparent weight than the 200 tons of nitrogen gas when both are submerged in the ocean because gold is denser and displaces less water, resulting in a smaller buoyant force acting on it.
Step-by-step explanation:
The question involves concepts of density and buoyancy which are part of Physics. When two containers of equal size are submerged at the bottom of the ocean, the one filled with 200 tons of gold will have a greater apparent weight than the one filled with 200 tons of nitrogen gas. This is because gold is much denser than nitrogen gas, meaning that for the same volume, gold will have a higher mass. The apparent weight is the weight measured in the surrounding fluid, in this case, seawater, and is reduced by the buoyant force that opposes the object's weight. Since gold is denser, it displaces less water than an equal volume of nitrogen gas would. Therefore, the buoyant force on the gold is less, making its apparent weight greater than that of the nitrogen gas which displaces more water and experiences a greater buoyant force.
The buoyant force is dependent on the volume of the displaced fluid, and since both containers are of the same size, the force exerted by the displaced seawater would be the same if the contents were of equal density. However, as gold is denser, it displaces less seawater by mass, leading to the nitrogen gas container experiencing a larger upward force due to the larger volume of seawater it displaces, which causes its apparent weight to be less than that of the gold container.