Question

A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating vertically in water in half – submerged state. If ${\rho }_c$ is the relative density of the material of the shell with respect to water, then the correct statement is that the shell is

• A. More than half - filled if ${\rho }_C$ is less than 0.5
• B. More than half - filled ${\rho }_C$ is more than 1.0
• C. Half - filled if ${\rho }_c$ is more than 0.5
• D. Less than half - filled if ${\rho }_c$ is less than 0.5

Answer 1

The correct option is D

Less than half - filled if ${\rho }_c$ is less than 0.5

We know that,
fraction of an object's dimension submerged = relative density of the object.

If, the relative density is less than 0.5, the submerged fraction would also be the same