As gallium melts in the person's hand, the most accurate response about the changes occurring on a microscopic level would be:
The gallium atoms will gain kinetic energy.
This is because as the temperature increases, the kinetic energy of the atoms increases, causing them to move more vigorously, leading to the melting of the solid gallium. While the temperature of the gallium increases and the atoms do move faster on average, the direct cause of the melting is primarily the increase in kinetic energy of the atoms.