Question

A body consisting of a cone and hemisphere on the same base then greatest height of the one the equilibrium may be stable is ?

1.√2
2.√5
3.√7
4.√3

Answer 1

When a body consisting of a cone and hemisphere on the same base is placed on its base, it is in stable equilibrium. However, if it is placed on its tip, it is in unstable equilibrium.

Step-by-step explanation:

A body consisting of a cone and hemisphere on the same base will have different stability depending on its orientation. When the cone is placed on its base, it is in stable equilibrium because its center of gravity remains over its base. If a force is applied to the cone, it will return to its original position. However, if the cone is placed on its tip, it is in unstable equilibrium because its center of gravity will drift from its base and cause the cone to fall over when a force is applied.