Question

If copper floats on mercury, and gold sinks in mercury, then which one of the following statements is true$?$
A.Copper is less dense than gold.
B.Mercury is denser than gold.
C.Copper is more dense than mercury.
D.Mercury is the least dense of the three metals.

Answer 1

According to the copper floats on mercury and mercury sinks in gold, we can find out which statements are true, that is different materials have different densities. The higher-density molecules are composed denser. so, by using certain mercury, gold, copper definitions, we evaluate the above statements, then we find the right statement.
Useful formula:
Since copper is floating in mercury,
${\rho _{copper}} < {\rho _{mercury}}$
Provided that gold sinks into mercury,
${\rho _{gold}} > {\rho _{mercury}}$
Complete step by step formula:
Given by,
Copper floats on mercury,
Gold sinks in mercury,
We find the which statement is true,
Now,
Various materials have varying densities. the higher-density materials are named "denser" and lower density components
"Rarer" is named
In comparatively less dense matter, relatively denser objects sink.
Most other substances can float in it because mercury's density is high. Metals such as nickel, iron and copper, as well as mixed substances such as most stone forms, as well as organic materials such as plastics and wood, are involved. It can also float liquids and gases that are less dense than mercury.
Since copper is floating in mercury,
${\rho _{copper}} < {\rho _{mercury}}$
Provided that gold sinks into mercury,
This means that the mercury level is about $13$ times higher than that of water. Some artefacts, including pieces of lead, silver and steel, that sink in water will therefore float on mercury. Parts of gold sink, though because gold has a greater density than mercury does.
${\rho _{gold}} > {\rho _{mercury}}$
Here we combine the above both functions,
We get,
${\rho _{gold}} > {\rho _{mercury}} > {\rho _{copper}}$
Hence,
Copper is more dense than mercury.

Thus, the option C is correct answer.

Note:
A handful of elements are denser than mercury, and in it can sink objects made of these substances. Gold can currently be produced in a nuclear reactor by destroying either platinum or mercury, since the density of solid copper is lower than that of liquid mercury, a piece of copper would float in liquid mercury.