An example of an object in a state of stable equilibrium is a / an A. Ball on a flat surface B. Bunsen burner on it's surface C. Cone resting on it's vertex D. Cylinder resting in at side E. Egg in a bowl

To determine which option represents an object in stable equilibrium, let's define stable equilibrium and analyze each option:

• Stable Equilibrium: An object is in stable equilibrium if, when slightly displaced from its equilibrium position, it tends to return to that position. This occurs when the object's center of gravity is at its lowest possible point, and any displacement raises the center of gravity.

Let's examine each option:

• A. Ball on a flat surface: If you push a ball on a flat surface, it will roll to a new position and stay there. Its center of gravity remains at the same height. This is an example of neutral equilibrium.
• B. Bunsen burner on its surface: A Bunsen burner typically has a wide base and a low center of gravity. If you tilt it slightly, its center of gravity is raised, and it will return to its upright position. This is an example of stable equilibrium.
• C. Cone resting on its vertex: If a cone is balanced on its pointed end (vertex), its center of gravity is high. A slight nudge will cause it to topple over, lowering its center of gravity. This is an example of unstable equilibrium.
• D. Cylinder resting on its side: If a cylinder is lying on its side (like a log), and you roll it slightly, it will move to a new position and stay there. Its center of gravity remains at the same height. This is an example of neutral equilibrium.
• E. Egg in a bowl: An egg placed inside a bowl will settle at the bottom. If you nudge the egg, it will roll back to the bottom of the bowl. During the displacement, the egg's center of gravity is raised, and it returns to the lowest point. This is an example of stable equilibrium.

Both options B and E describe objects in stable equilibrium. However, option E, an egg in a bowl, is a very common and clear illustration of stable equilibrium where the object returns to its original position after displacement because its center of gravity is raised.

The final answer is $\boxed{\text{E. Egg in a bowl}}$.