An atoms emmission of light with a specific amount of energy confirms

The quantum theory

Explanation:

The theory that assumes that energy exists in individual units called quanta, in the same way that matter has individual atomic units.

An atom’s emission of light with a specific amount of energy confirms that the electrons inside the atoms emit and absorb energies according to the position around a nucleus.

Explanation:

The atoms of an element are surrounded by various orbits of specific energy levels in which electrons revolve. These levels are known as the Electron Energy Levels. Every element has a distinct part of electron energy levels.

The energy of these levels varies from one another and whenever an electron hops from the higher to a lower energy levels, it emits energy in the form of photons or quanta (energy bundles).  

In the same way, whenever an electron needs to hop from a lower to a higher energy levels, it requires a specific amount of energy, equal to the difference between the two respective energy levels to the transition. Hence, it absorbs energy from the source, if provided.

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c) up is the direction the magnetic force is acting on the charge.