Q1: The distance between metacentre and __________ is called metacentric height.

ANS:B - centre of gravity

The distance between the metacentre and the centre of gravity is called the metacentric height. Here's an explanation of each term in relation to the metacentric height:

1. Metacentre: The metacentre is a point in a floating body (such as a ship) where the line of action of the buoyant force intersects the vertical line passing through the original centre of buoyancy when the body is tilted.
2. Centre of Gravity: The centre of gravity of a body is the point through which the resultant of gravitational forces on the body passes. It is the point where the entire weight of the body can be considered to act vertically downward.
3. Centre of Buoyancy: The centre of buoyancy is the centroid of the displaced volume of fluid (or water) when a body is immersed in it. It represents the point where the buoyant force acts vertically upward.
4. Metacentric Height: The metacentric height (GM) is the distance between the metacentre and the centre of gravity of a floating body. It is a measure of the stability of the body when it is tilted or heeled. A larger metacentric height indicates greater stability.

• The distance between the metacentre and centre of gravity is called the metacentric height.