Consider the following statements:The increase in metacentric height1...
Increasing the metacentric height will increase the stability and decrease the time period of oscillation of the ship about its metacenter causing very rapid swaying movement of the ship from side to side, decreasing the comfort of the passengers, so statement 1 and 4 is right.
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Consider the following statements:The increase in metacentric height1...
Explanation:
Metacentric height is a term used in naval architecture to describe the stability characteristics of a ship or floating structure. It is the distance between the center of gravity (G) of a ship and its metacenter (M), which is the point of intersection of the buoyancy force and the line of action of the weight of the ship.
1. Increases stability:
A higher metacentric height results in increased stability of a ship. Stability refers to the ability of a ship to return to its upright position after being inclined by external forces such as waves or wind. When the metacentric height is increased, the metacenter is raised above the center of gravity, which leads to a greater restoring moment. This means that the ship will have a tendency to return to its original position more quickly and with less inclination. Therefore, statement 1 is correct.
2. Decreases stability:
This statement is incorrect. As mentioned above, an increase in metacentric height leads to increased stability, not decreased stability. Therefore, statement 2 is incorrect.
3. Increases comfort for passengers in a ship:
A higher metacentric height can lead to increased comfort for passengers in a ship. When the metacentric height is higher, the ship is less likely to roll or pitch excessively in response to waves or other external forces. This reduces the motion experienced by passengers and can result in a more comfortable ride. Therefore, statement 3 is correct.
4. Decreases comfort for passengers in a ship:
This statement is incorrect. As explained above, an increase in metacentric height can actually increase comfort for passengers by reducing excessive motion. Therefore, statement 4 is incorrect.
Conclusion:
Based on the above explanations, the correct statements are 1 and 3. Therefore, option B, which includes statements 1 and 4, is the correct answer.
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