Home » MCQs » Fluid Mechanics MCQs » Buoyancy and Floatation MCQs

If the metacentric height (GM) of a floating body increases, what will happen to its time period of oscillation?

17. If the metacentric height (GM) of a floating body increases, what will happen to its time period of oscillation?

1. Time period will decrease
2. Time period will increase
3. Time period will remain the same
4. Time period depends only on the least radius of gyration

Answer: B) Time period will increase

Explanation:

As per the formula, the time period of oscillation is directly proportional to the square root of the metacentric height (GM). Hence, if the metacentric height increases, the time period of oscillation will also increase, indicating a slower oscillation.