same
higher
lower
lower/higher depending on weight of body
Answer is Right!
Answer is Wrong!
The correct answer is C. lower.
The metacentric height is the distance between the metacenter and the center of gravity of a floating body. The metacenter is the point where the buoyant force acts on the body. The center of gravity is the point where the weight of the body acts.
The time oscillation of a floating body is the time it takes for the body to complete one cycle of oscillation. The time oscillation is inversely proportional to the square root of the metacentric height. This means that as the metacentric height increases, the time oscillation decreases.
The following are the explanations of each option:
- Option A: The time oscillation of a floating body will be the same with increase in metacentric height. This is not correct because the time oscillation is inversely proportional to the square root of the metacentric height. As the metacentric height increases, the time oscillation decreases.
- Option B: The time oscillation of a floating body will be higher with increase in metacentric height. This is not correct because the time oscillation is inversely proportional to the square root of the metacentric height. As the metacentric height increases, the time oscillation decreases.
- Option C: The time oscillation of a floating body will be lower with increase in metacentric height. This is correct because the time oscillation is inversely proportional to the square root of the metacentric height. As the metacentric height increases, the time oscillation decreases.
- Option D: The time oscillation of a floating body will be lower/higher depending on weight of body. This is not correct because the time oscillation is only dependent on the metacentric height. The weight of the body does not affect the time oscillation.