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Evaluate the probability of finding an electron in a small region of a hydrogen 1s-orbital at a distance 0.65a0 from the nucleus relative to finding it in the small region located at the nucleus.
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- What common charateristic do the lines in the Balmer series have? And fundamentally, why would any line in the hydrogen specctrum between 250nm and 700nm belong to the Balmer series?The quantum-mechanical treatment of the hydrogen atom gives an expression for the wave function ψ, , of the 1s orbital:where ris the distance from the nucleus and a₀ is 52.92 pm. The electron probability density is the probability of finding the elec-tron in a tiny volume at distance rfrom the nucleus and is pro-portional to ψ² . The radial probability distribution is the total probability of finding the electron at all points at distance rfromthe nucleus and is proportional to 4πr² ψ² . Calculate the values(to three significant figures) of ψ, ψ² , and 4πr2² ψ² to fill in the fol-lowing table, and sketch plots of these quantities versus r.With the aid of tunable lasers, Rydberg atoms of sodium have been produced with n =100. The resulting atomic diameter would correspond in hydrogen to n = 600.(a) What would be the diameter of a hydrogen atom whose electron is in the n =600 orbit? (b) What would be the speed of the electron in that orbit? (c) How does the result in (b) compare with the speed in the n = 1 orbit?
- I need the answer as soon as possibleIn the subshell e = 3, (a) what is the greatest (most positive) me value, (b) how many states are available with the greatest mn, value, and (c) what is the total number of states in the subshell? (a) Number Units (b) Number Units (c) Number UnitsNeeds Complete typed solution with 100 % accuracy.