The correct answer is option 1: Alpha particle, neutron, proton, electron.

The alpha particle is a helium nucleus consisting of two protons and two neutrons. It is the heaviest particle among the options given.

Neutrons and protons have almost equal masses and are both heavier than electrons. However, neutrons are electrically neutral while protons have a positive charge.

Electrons are much lighter than neutrons and protons and have a negative charge.

When the particles are moving with equal kinetic energies, the lighter particles will have higher velocities compared to the heavier particles. This is because the kinetic energy is directly proportional to the velocity squared.

Since the alpha particle is the heaviest, it will have the lowest velocity. The neutron, which is slightly lighter, will have a slightly higher velocity. The proton, being lighter than both the alpha particle and neutron, will have an even higher velocity. Finally, the electron, being the lightest particle, will have the highest velocity among the options given.

Therefore, the correct order of increasing velocities is option 1: Alpha particle, neutron, proton, electron.