(II) What fraction of a piece of iron will be submerged when it floats in mercury?

Solution 23P:

We have to find the fraction of the volume of the iron piece submerged inside the mercury when it is placed on it.

Step 1 of 4</p>

Concept:

Densityof the body is defined as the ratio of the mass of the body to its volume. Mathematically,

…(1)

Archimedes Principle: The buoyant force acting on an object is equal to the weight of the fluid displaced by the object when it is immersed in it.

…(2)

Step 2 of 4</p>

When the piece of iron is placed on the surface of the mercury, then the piece of iron is submerged inside the mercury until the upward buoyant force acting on the iron is equal to the weight of the iron piece acting downward due to gravity.Such that the net force on the piece of iron is zero, when it floats in mercury.

…(3)[From (1)]

Here, Mass of the iron piece

Volume of complete iron piece

Density of iron piece

Acceleration due to gravity