The gallium and the image is melting in the persons hand, which changes will occur on a microscopic level, is it the gallium Adams will increase in temperature the gallium atoms will be moving faster on average. The gallium atoms will gain kinetic energy, or the gallium atoms will gain potential energy moving freely from each other.

On a microscopic level, as the gallium and the image melt in the person's hand, several changes occur:

1. The Gallium Atoms Will Increase in Temperature: The melting process involves the absorption of heat energy, causing the temperature of the gallium atoms to rise. This increase in temperature is due to the transfer of thermal energy from the person's hand.

2. The Gallium Atoms Will Be Moving Faster on Average: As the temperature of the gallium increases, so does the average kinetic energy of its atoms. This results in faster movement of the gallium atoms.

3. The Gallium Atoms Will Gain Kinetic Energy: The rise in temperature leads to an increase in the kinetic energy of the gallium atoms. This increase in kinetic energy is responsible for the faster movement and increased thermal activity within the liquid gallium.

4. The Gallium Atoms Will Gain Potential Energy Moving Freely from Each Other: As the gallium melts, it transitions from a solid phase to a liquid phase. In the liquid state, the gallium atoms can move more freely from each other as the interatomic forces become weaker. This increased freedom of movement corresponds to an increase in potential energy of the atoms.

In summary, the melting of gallium and the image in the person's hand results in an increase in temperature and kinetic energy of the gallium atoms, as well as an increase in potential energy as the atoms gain more freedom of movement.