The diagram above represents balls in an undulating surface. Which of the following option represents positions of stable equilibrium?

Answer Details

In the given diagram, the balls are in positions where they are influenced by gravity and potential energy. In order for a position to be considered a stable equilibrium position, the ball must return to that position when displaced slightly from it. Looking at the diagram, we can see that positions III, VI, and IX are at the bottom of valleys, where the balls would naturally come to rest and be in a stable equilibrium. Therefore, the correct answer is option III, VI, and IX.