The Balmer series for the hydrogen atom comprises electron energy transitions that end in the n, = 2 state. E (eV) 0.00 -0.378 -0.544 2 -0.850 4 -1.512 -3.401 Balmer series Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon. (a) What is the initial quantum number, n, of the transition that generates the photon with the longest wavelength? (Restrict your attention to the four illustrated transitions.) n =3 (b) What is the energy (in eV) of that longest-wavelength photon? 1.89 eV (c) What is its wavelength (in nm)? 657 nm Now consider the transition (out of the four depicted) that generates the photon with the shortest wavelength. (d) What is the initial quantum number, n, of the transition that generates the photon with the shortest wavelength? (Again, restrict your attention to the four illustrated transitions.) (e) What is that photon's energy (in eV)? ev (f) What is that photon's wavelength (in nm)? nm (g) Finally, consider all transitions from n, > 2 that end at n, = 2 (in other words, the entire Balmer sequence, not limited to the four illustrated transitions). What is the shortest possible wavelength (in nm) for any photon picked from the Balmer series? nm ENERGY
Particle Theory of Light
The particle theory of light was the proposal made by Newton in 1704 in his treatise Opticks. This is the most basic light theory, in which light is thought to be made up of microscopic particles known as "corpuscles" and that's why this particle theory of light is also named as Corpuscular theory of light.
Stopping Potential
In an experiment conducted by Heinrich Hertz, an apparatus was made where the incident light was made to fall on the metallic plate, it was discovered that metals emit electrons. The surface electrons are bound to metals with a minimum amount of energy and some of the incident photos enter the surface, they undergo collision with the atoms of the metal, they get absorbed and emit energy to an election, making it photoelectron, where the collision between the photons and electrons ejects the electrons out of the metal and with a negatively charged electron, causes photocurrent and when this current passes it creates an electric field where there is a potential difference at the output due to the anode and cathode of the electrode of the apparatus. This study involves the theory of Quantum physics and electromagnetism involving electromagnetic radiation and electromagnetic wave theory.
Quantization of Charges
An electron is a negatively charged subatomic particle either attached to an an atom or sticks to the nucleus of the atom. Electrons exert the negative charge that tries to balance the positive charge of the nucleus.
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