Q1: The metacentric height of a body equals the distance between

ANS:B - the metacentre and centre of gravity

The metacentric height of a body equals the distance between the center of gravity and the metacentre. The metacentric height (GM) is a critical parameter in naval architecture and ship stability analysis. It represents the distance between the center of gravity (G) of a floating body and the metacentre (M), which is the intersection point of the buoyant force line of action with the centerline of the body when it is tilted slightly. A positive metacentric height (GM) indicates stability, while a negative metacentric height suggests instability. The larger the metacentric height, the greater the stability of the floating body. Therefore, the correct statement is: the metacentric height of a body equals the distance between the center of gravity and the metacentre.