At what radius does the probability density of an electron in the H atom fall to 50 per cent of its maximum value?

What physical meaning is attributed to ψ², the square of the wave function?

When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. delta?=−2.178×10−18 J(1?2final−1?2initial)ΔE=−2.178×10−18 J(1nfinal2−1ninitial2) *refer to attached image before proceeding* To ionize a hydrogen atom (forming a hydrogen ion), requires that the energy absorbed is sufficient to send the energized electron an infinite distance away from the nucleus (as shown by the ionization line in the image above). In other words, nfinal is equal to infinity.   Calculate the energy required to ionize a ground state hydrogen atom. Report your answer in kilojoules. delta E= ____kJ   What is the longest…

An electron in an atom is known to be in a state with magnetic quantum number m₁ = −2. What is the smallest possible value of the principal quantum number n of the state? n = Ú X S