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Question
The increase in metacentric height:
1. Increases stability
2. Decreases stability
3. Increases comfort for passengers
4. Decreases comfort for passengers
The correct answer is:
A.
1 and 3
B.
1 and 4
C.
2 and 3
D.
2 and 4
Answer ( Option B)

1 and 4

Solution

Relation between time period of oscillation and metacentric height.
Where 
K = radius of gyration.
GM = Metacentric height
g = Gravitational acceleration
Note:
• As GM increases, time period of oscillation decreases and as a result comfort for passengers decreases. 
• An increase in metacentric height increases the stability but at the same time, it reduces the period of oscillation.

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